-
1
-
-
25844505396
-
A variational-difference method for solving two-dimensional linear parabolic equations
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 17, 101-111)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 17, 101-111). Akopyan Yu.R., and Oganesyan L.A. A variational-difference method for solving two-dimensional linear parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 17 (1977) 109-118
-
(1977)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.17
, pp. 109-118
-
-
Akopyan, Yu.R.1
Oganesyan, L.A.2
-
2
-
-
84979313197
-
Zum Differenzenverfahren bei parabolischen Differentialgleichungen
-
Albrecht J. Zum Differenzenverfahren bei parabolischen Differentialgleichungen. Z. Angew. Math. Mech. 37 (1957) 202-212
-
(1957)
Z. Angew. Math. Mech.
, vol.37
, pp. 202-212
-
-
Albrecht, J.1
-
3
-
-
70350278991
-
On the reliability of finite difference representations
-
Anderssen R.S. On the reliability of finite difference representations. Austral. Comput. J. 1 3 (1968)
-
(1968)
Austral. Comput. J.
, vol.1
, Issue.3
-
-
Anderssen, R.S.1
-
4
-
-
57049184388
-
Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben
-
Springer
-
Ansorge R., and Hass R. Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben. Lecture Notes in Mathematics 159 (1970), Springer
-
(1970)
Lecture Notes in Mathematics
, vol.159
-
-
Ansorge, R.1
Hass, R.2
-
5
-
-
84972503965
-
The stability of finite difference approximations to second order linear parabolic differential equations
-
Aronson D.G. The stability of finite difference approximations to second order linear parabolic differential equations. Duke Math. J. 30 (1963) 117-128
-
(1963)
Duke Math. J.
, vol.30
, pp. 117-128
-
-
Aronson, D.G.1
-
6
-
-
34250972113
-
On the stability of certain finite difference approximations to parabolic systems of differential equations
-
Aronson D.G. On the stability of certain finite difference approximations to parabolic systems of differential equations. Numer. Math. 5 (1963) 118-137
-
(1963)
Numer. Math.
, vol.5
, pp. 118-137
-
-
Aronson, D.G.1
-
7
-
-
84968494048
-
Explicit solutions of the one-dimensional heat equation for a composite wall
-
Ascher M. Explicit solutions of the one-dimensional heat equation for a composite wall. Math. Comp. 14 (1960) 346-353
-
(1960)
Math. Comp.
, vol.14
, pp. 346-353
-
-
Ascher, M.1
-
8
-
-
84918966626
-
A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary domain
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 11, 168-182). Iterative solution of difference equations, 2
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 11, 168-182). Astrakhantsev G.P. A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary domain. Iterative solution of difference equations, 2. Zh. Vychisl. Mat. i Mat. Fiz. 11 (1971) 677-687
-
(1971)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.11
, pp. 677-687
-
-
Astrakhantsev, G.P.1
-
10
-
-
84968496723
-
Second order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations
-
Batten G.W. Second order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations. Math. Comp. 17 (1963) 405-413
-
(1963)
Math. Comp.
, vol.17
, pp. 405-413
-
-
Batten, G.W.1
-
11
-
-
17744400355
-
The explicit solution of the equation of heat conduction
-
Birtwistle G.M. The explicit solution of the equation of heat conduction. Comput. J. 11 (1968) 317-323
-
(1968)
Comput. J.
, vol.11
, pp. 317-323
-
-
Birtwistle, G.M.1
-
12
-
-
84968513755
-
An interior a priori estimate for parabolic difference operators and an application
-
Bondesson M. An interior a priori estimate for parabolic difference operators and an application. Math. Comp. 25 (1971) 43-58
-
(1971)
Math. Comp.
, vol.25
, pp. 43-58
-
-
Bondesson, M.1
-
13
-
-
25444526528
-
p norms for solutions of parabolic and elliptic difference equations
-
p norms for solutions of parabolic and elliptic difference equations. Ann. Mat. Pura Appl. 95 (1973) 1-43
-
(1973)
Ann. Mat. Pura Appl.
, vol.95
, pp. 1-43
-
-
Bondesson, M.1
-
14
-
-
0003273055
-
Besov Spaces and Applications to Difference Methods for Initial Value Problems
-
Springer, London
-
Brenner P., Thomée V., and Wahlbin L.B. Besov Spaces and Applications to Difference Methods for Initial Value Problems. Lecture Notes in Mathematics 434 (1975), Springer, London
-
(1975)
Lecture Notes in Mathematics
, vol.434
-
-
Brenner, P.1
Thomée, V.2
Wahlbin, L.B.3
-
15
-
-
84968498749
-
The stability of difference approximations to a self-adjoint parabolic equation under derivative boundary conditions
-
Campbell C.M., and Keast P. The stability of difference approximations to a self-adjoint parabolic equation under derivative boundary conditions. Math. Comp. 22 (1968) 336-346
-
(1968)
Math. Comp.
, vol.22
, pp. 336-346
-
-
Campbell, C.M.1
Keast, P.2
-
16
-
-
84968518204
-
Finite difference methods and the eigenvalue problem for nonselfadjoint Sturm-Liouville operators
-
Carasso A. Finite difference methods and the eigenvalue problem for nonselfadjoint Sturm-Liouville operators. Math. Comp. 23 (1969) 717-729
-
(1969)
Math. Comp.
, vol.23
, pp. 717-729
-
-
Carasso, A.1
-
17
-
-
84968488165
-
A posteriori bounds in the numerical solution of mildly nonlinear parabolic equations
-
Carasso A. A posteriori bounds in the numerical solution of mildly nonlinear parabolic equations. Math. Comp. 24 (1970) 785-792
-
(1970)
Math. Comp.
, vol.24
, pp. 785-792
-
-
Carasso, A.1
-
18
-
-
34250482309
-
Long-range numerical solution of mildly non-linear parabolic equations
-
Carasso A. Long-range numerical solution of mildly non-linear parabolic equations. Numer. Math. 16 (1971) 304-321
-
(1971)
Numer. Math.
, vol.16
, pp. 304-321
-
-
Carasso, A.1
-
19
-
-
84966223411
-
An analysis of "boundary-value techniques" for parabolic problems
-
Carasso A., and Parter S.V. An analysis of "boundary-value techniques" for parabolic problems. Math. Comp. 24 (1970) 315-340
-
(1970)
Math. Comp.
, vol.24
, pp. 315-340
-
-
Carasso, A.1
Parter, S.V.2
-
20
-
-
0008466688
-
The operator compact implicit method for parabolic equations
-
Ciment M., Leventhal S.H., and Weinberg B.C. The operator compact implicit method for parabolic equations. J. Comput. Phys. 28 (1978) 138-166
-
(1978)
J. Comput. Phys.
, vol.28
, pp. 138-166
-
-
Ciment, M.1
Leventhal, S.H.2
Weinberg, B.C.3
-
22
-
-
0003908527
-
Über die partiellen Differenzengleichungen der mathematischen Physik
-
Courant R., Friedrichs K.O., and Lewy H. Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann. 100 (1928) 32-74
-
(1928)
Math. Ann.
, vol.100
, pp. 32-74
-
-
Courant, R.1
Friedrichs, K.O.2
Lewy, H.3
-
23
-
-
0001218929
-
An optimum implicit recurrence formula for the heat conduction equation
-
Crandall S.H. An optimum implicit recurrence formula for the heat conduction equation. Quart. Appl. Math. 13 (1955) 318-320
-
(1955)
Quart. Appl. Math.
, vol.13
, pp. 318-320
-
-
Crandall, S.H.1
-
24
-
-
84953600891
-
A practical method for numerical integration of solution of partial differential equations of heat-conduction type
-
Crank J., and Nicolson P. A practical method for numerical integration of solution of partial differential equations of heat-conduction type. Proc. Cambridge Philos. Soc. 43 (1947) 50-67
-
(1947)
Proc. Cambridge Philos. Soc.
, vol.43
, pp. 50-67
-
-
Crank, J.1
Nicolson, P.2
-
25
-
-
0001793749
-
2 = ∂u/∂t by implicit methods
-
2 = ∂u/∂t by implicit methods. J. SIAM 3 (1955) 42-65
-
(1955)
J. SIAM
, vol.3
, pp. 42-65
-
-
Douglas Jr., J.1
-
26
-
-
70350289924
-
On the errors in analogue solutions of heat conduction problems
-
Douglas Jr. J. On the errors in analogue solutions of heat conduction problems. Quart. Appl. Math. 14 (1956) 333-335
-
(1956)
Quart. Appl. Math.
, vol.14
, pp. 333-335
-
-
Douglas Jr., J.1
-
27
-
-
84972544286
-
On the numerical integration of quasi-linear parabolic differential equations
-
Douglas Jr. J. On the numerical integration of quasi-linear parabolic differential equations. Pacific J. Math. 6 (1956) 35-42
-
(1956)
Pacific J. Math.
, vol.6
, pp. 35-42
-
-
Douglas Jr., J.1
-
28
-
-
0005717589
-
On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic equations
-
Douglas Jr. J. On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic equations. J. SIAM 4 (1956) 20-37
-
(1956)
J. SIAM
, vol.4
, pp. 20-37
-
-
Douglas Jr., J.1
-
29
-
-
0012136469
-
The solution of the diffusion equation by a high order correct difference equation
-
Douglas Jr. J. The solution of the diffusion equation by a high order correct difference equation. J. Math. Phys. 35 (1956) 145-151
-
(1956)
J. Math. Phys.
, vol.35
, pp. 145-151
-
-
Douglas Jr., J.1
-
30
-
-
84968518224
-
A note on the alternating direction implicit method for the numerical solution of heat flow problems
-
Douglas Jr. J. A note on the alternating direction implicit method for the numerical solution of heat flow problems. Proc. Amer. Math. Soc. 8 (1957) 409-412
-
(1957)
Proc. Amer. Math. Soc.
, vol.8
, pp. 409-412
-
-
Douglas Jr., J.1
-
31
-
-
0000280827
-
The application of stability analysis in the numerical solution of quasi-linear parabolic differential equations
-
Douglas Jr. J. The application of stability analysis in the numerical solution of quasi-linear parabolic differential equations. Trans. Amer. Math. Soc. 89 (1958) 484-518
-
(1958)
Trans. Amer. Math. Soc.
, vol.89
, pp. 484-518
-
-
Douglas Jr., J.1
-
32
-
-
70350316175
-
The effect of round-off error in the numerical solution of the heat equation
-
Douglas Jr. J. The effect of round-off error in the numerical solution of the heat equation. J. Math. Phys. 31 (1959) 35-41
-
(1959)
J. Math. Phys.
, vol.31
, pp. 35-41
-
-
Douglas Jr., J.1
-
33
-
-
34250961790
-
A numerical method for a parabolic system
-
Douglas Jr. J. A numerical method for a parabolic system. Numer. Math. 2 (1960) 91-98
-
(1960)
Numer. Math.
, vol.2
, pp. 91-98
-
-
Douglas Jr., J.1
-
34
-
-
0141604491
-
A survey of numerical methods for parabolic differential equations
-
Alt F.C. (Ed), Academic Press, Berlin
-
Douglas Jr. J. A survey of numerical methods for parabolic differential equations. In: Alt F.C. (Ed). Advances in Computers 2 (1961), Academic Press, Berlin 1-54
-
(1961)
Advances in Computers
, vol.2
, pp. 1-54
-
-
Douglas Jr., J.1
-
35
-
-
33750920404
-
On incomplete iteration for implicit parabolic difference equations
-
Douglas Jr. J. On incomplete iteration for implicit parabolic difference equations. J. SIAM 9 (1961) 433-439
-
(1961)
J. SIAM
, vol.9
, pp. 433-439
-
-
Douglas Jr., J.1
-
36
-
-
70350306649
-
Variable time steps in the solution of the heat flow equation by a difference equation
-
Douglas Jr. J., and Gallie Jr. T.M. Variable time steps in the solution of the heat flow equation by a difference equation. Proc. Amer. Math. Soc. 6 (1955) 787-793
-
(1955)
Proc. Amer. Math. Soc.
, vol.6
, pp. 787-793
-
-
Douglas Jr., J.1
Gallie Jr., T.M.2
-
37
-
-
67649668159
-
Alternating direction methods for parabolic systems in m space variables
-
Douglas Jr. J., and Gunn J.E. Alternating direction methods for parabolic systems in m space variables. J. Assoc. Comput. Mach. 9 (1962) 450-456
-
(1962)
J. Assoc. Comput. Mach.
, vol.9
, pp. 450-456
-
-
Douglas Jr., J.1
Gunn, J.E.2
-
38
-
-
0043156305
-
Two high-order correct difference analogues for the equation of multidimensional heat flow
-
Douglas Jr. J., and Gunn J.E. Two high-order correct difference analogues for the equation of multidimensional heat flow. Math. Comp. 17 (1963) 71-80
-
(1963)
Math. Comp.
, vol.17
, pp. 71-80
-
-
Douglas Jr., J.1
Gunn, J.E.2
-
39
-
-
0001742634
-
A general formulation of alternating direction methods, Part I. Parabolic and and hyperbolic problems
-
Douglas Jr. J., and Gunn J.E. A general formulation of alternating direction methods, Part I. Parabolic and and hyperbolic problems. Numer. Math. 6 (1964) 428-453
-
(1964)
Numer. Math.
, vol.6
, pp. 428-453
-
-
Douglas Jr., J.1
Gunn, J.E.2
-
40
-
-
0000805581
-
On predictor-corrector methods for nonlinear parabolic differential equations
-
Douglas Jr. J., and Jones B.F. On predictor-corrector methods for nonlinear parabolic differential equations. J. SIAM 11 (1963) 195-204
-
(1963)
J. SIAM
, vol.11
, pp. 195-204
-
-
Douglas Jr., J.1
Jones, B.F.2
-
41
-
-
0010999707
-
On convergence of alternating direction procedures in the presence of singular operators
-
Douglas Jr. J., and Pearcy C.M. On convergence of alternating direction procedures in the presence of singular operators. Numer. Math. 5 (1963) 175-184
-
(1963)
Numer. Math.
, vol.5
, pp. 175-184
-
-
Douglas Jr., J.1
Pearcy, C.M.2
-
42
-
-
84967782959
-
On the numerical solution of heat conduction problems in two and three space variables
-
Douglas Jr. J., and Rachford H.H. On the numerical solution of heat conduction problems in two and three space variables. Trans. Amer. Math. Soc. 82 (1956) 421-439
-
(1956)
Trans. Amer. Math. Soc.
, vol.82
, pp. 421-439
-
-
Douglas Jr., J.1
Rachford, H.H.2
-
43
-
-
84968484318
-
Stability conditions in the numerical treatment of parabolic differential equations
-
Du Fort E.C., and Frankel S.P. Stability conditions in the numerical treatment of parabolic differential equations. Math. Tables Aids Comput. 7 (1953) 135-152
-
(1953)
Math. Tables Aids Comput.
, vol.7
, pp. 135-152
-
-
Du Fort, E.C.1
Frankel, S.P.2
-
44
-
-
70350325713
-
Stability and convergence of finite difference schemes with singular coefficients
-
Eisen D. Stability and convergence of finite difference schemes with singular coefficients. SIAM J. Numer. Anal. 3 (1966) 545-552
-
(1966)
SIAM J. Numer. Anal.
, vol.3
, pp. 545-552
-
-
Eisen, D.1
-
45
-
-
34250537120
-
The equivalence of stability and convergence for finite difference schemes with singular coefficients
-
Eisen D. The equivalence of stability and convergence for finite difference schemes with singular coefficients. Numer. Math. 10 (1967) 20-29
-
(1967)
Numer. Math.
, vol.10
, pp. 20-29
-
-
Eisen, D.1
-
47
-
-
24944496276
-
A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
-
Evans D.J. A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation. Computer J. 8 (1965) 280-287
-
(1965)
Computer J.
, vol.8
, pp. 280-287
-
-
Evans, D.J.1
-
48
-
-
4444259403
-
Some high accuracy difference schemes with a splitting operator for equations of parabolic and elliptic type
-
Fairweather G., Gourlay A.R., and Mitchell A.R. Some high accuracy difference schemes with a splitting operator for equations of parabolic and elliptic type. Numer. Math. 10 (1967) 56-66
-
(1967)
Numer. Math.
, vol.10
, pp. 56-66
-
-
Fairweather, G.1
Gourlay, A.R.2
Mitchell, A.R.3
-
51
-
-
85163209774
-
Numerical stability in digital and analog computation for diffusion problems
-
Franklin J.N. Numerical stability in digital and analog computation for diffusion problems. J. Math. Phys. 37 (1958) 305-315
-
(1958)
J. Math. Phys.
, vol.37
, pp. 305-315
-
-
Franklin, J.N.1
-
53
-
-
49649143316
-
Economical difference schemes for solving the heat conduction equation in polar, cylindrical and spherical coordinates
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 12, 87-100)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 12, 87-100). Fryazinov I.V., and Bakirova M.I. Economical difference schemes for solving the heat conduction equation in polar, cylindrical and spherical coordinates. Zh. Vychisl. Mat. i Mat. Fiz. 12 (1972) 352-363
-
(1972)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.12
, pp. 352-363
-
-
Fryazinov, I.V.1
Bakirova, M.I.2
-
54
-
-
0016484222
-
A-convergence of finite difference approximations of parabolic initial-boundary value problems
-
Gekeler E. A-convergence of finite difference approximations of parabolic initial-boundary value problems. SIAM J. Numer. Anal. 12 (1975) 1-12
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 1-12
-
-
Gekeler, E.1
-
55
-
-
85012738708
-
Entwicklung nach Eigenvectoren beim Verfahren von Du Fort und Frankel
-
Gekeler E. Entwicklung nach Eigenvectoren beim Verfahren von Du Fort und Frankel. Z. Angew. Math. Mech. 55 (1975) T238-T240
-
(1975)
Z. Angew. Math. Mech.
, vol.55
-
-
Gekeler, E.1
-
58
-
-
0008765510
-
Special criteria of stability of boundary value problems for non-selfadjoint difference equations
-
(in Russian). (Russian Math. Surveys 18 (3), 1-12)
-
(in Russian). (Russian Math. Surveys 18 (3), 1-12). Godunov S.K., and Ryabenkii V.S. Special criteria of stability of boundary value problems for non-selfadjoint difference equations. Uspekhi Mat. Nauk. 18 (1963) 3-14
-
(1963)
Uspekhi Mat. Nauk.
, vol.18
, pp. 3-14
-
-
Godunov, S.K.1
Ryabenkii, V.S.2
-
60
-
-
5244244406
-
Differenzenschemata monotoner Art für schwach gekoppelte Systeme parabolischer Differentialgleichungen mit gemischten Randbedingungen
-
Gorenflo R. Differenzenschemata monotoner Art für schwach gekoppelte Systeme parabolischer Differentialgleichungen mit gemischten Randbedingungen. Computing 8 (1971) 343-362
-
(1971)
Computing
, vol.8
, pp. 343-362
-
-
Gorenflo, R.1
-
61
-
-
84984007668
-
Differenzenschemata monotoner Art für lineare parabolische Randwertaufgaben
-
Gorenflo R. Differenzenschemata monotoner Art für lineare parabolische Randwertaufgaben. Z. Angew. Math. Mech. 51 (1971) 595-610
-
(1971)
Z. Angew. Math. Mech.
, vol.51
, pp. 595-610
-
-
Gorenflo, R.1
-
62
-
-
70350319175
-
On difference schemes for parabolic differential equations with derivative boundary conditions
-
Conference on Applications of Numerical Analysis. Morris J.Li. (Ed), Springer, New York
-
Gorenflo R. On difference schemes for parabolic differential equations with derivative boundary conditions. In: Morris J.Li. (Ed). Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics 228 (1971), Springer, New York 57-69
-
(1971)
Lecture Notes in Mathematics
, vol.228
, pp. 57-69
-
-
Gorenflo, R.1
-
64
-
-
84968486120
-
Stability theory for difference approximations of mixed initial boundary value problems, II
-
Gustafsson B., Kreiss H.O., and Sundström A. Stability theory for difference approximations of mixed initial boundary value problems, II. Math Comp. 26 (1972) 649-686
-
(1972)
Math Comp.
, vol.26
, pp. 649-686
-
-
Gustafsson, B.1
Kreiss, H.O.2
Sundström, A.3
-
65
-
-
34250500915
-
Uniformly maximumnorm stable difference schemes
-
Hakberg B. Uniformly maximumnorm stable difference schemes. BIT 10 (1970) 266-276
-
(1970)
BIT
, vol.10
, pp. 266-276
-
-
Hakberg, B.1
-
66
-
-
34250132170
-
Asymptotic theory of the global error and some technique of error estimation
-
Hansson P.M., and Walsh J.E. Asymptotic theory of the global error and some technique of error estimation. Numer. Math. 45 (1984) 51-74
-
(1984)
Numer. Math.
, vol.45
, pp. 51-74
-
-
Hansson, P.M.1
Walsh, J.E.2
-
67
-
-
0005729744
-
The rate of convergence of some difference schemes
-
Hedstrom G.W. The rate of convergence of some difference schemes. SIAM J. Numer. Anal. 5 (1968) 363-406
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 363-406
-
-
Hedstrom, G.W.1
-
69
-
-
70350317558
-
On the convergence of numerical solutions of the heat-flow equation
-
Hildebrand F.B. On the convergence of numerical solutions of the heat-flow equation. J. Math. Phys. 31 (1952) 35-41
-
(1952)
J. Math. Phys.
, vol.31
, pp. 35-41
-
-
Hildebrand, F.B.1
-
70
-
-
57649129362
-
Some locally one-dimensional difference schemes for parabolic equations in an arbitrary region
-
Hubbard B. Some locally one-dimensional difference schemes for parabolic equations in an arbitrary region. Math. Comp. 20 (1966) 53-59
-
(1966)
Math. Comp.
, vol.20
, pp. 53-59
-
-
Hubbard, B.1
-
71
-
-
49349128959
-
The parabolicity of difference schemes
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 14 (2), 125-140)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 14 (2), 125-140). Ionkin N.I., and Mokin Yu.I. The parabolicity of difference schemes. Zh. Vychisl. Mat. i Mat. Fiz. 14 2 (1974) 402-417
-
(1974)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.14
, Issue.2
, pp. 402-417
-
-
Ionkin, N.I.1
Mokin, Yu.I.2
-
72
-
-
84980077882
-
Error estimates for parabolic equations
-
Isaacson E. Error estimates for parabolic equations. Comm. Pure Appl. Math. 14 (1961) 381-389
-
(1961)
Comm. Pure Appl. Math.
, vol.14
, pp. 381-389
-
-
Isaacson, E.1
-
74
-
-
84980083129
-
On the integration of parabolic equations by difference methods, I: Linear and quasilinear equations for the infinite interval
-
John F. On the integration of parabolic equations by difference methods, I: Linear and quasilinear equations for the infinite interval. Comm. Pure Appl. Math. 5 (1952) 155-211
-
(1952)
Comm. Pure Appl. Math.
, vol.5
, pp. 155-211
-
-
John, F.1
-
75
-
-
15944394109
-
Explicit difference approximations of Du Fort-Frankel type of the one-dimensional diffusion equation
-
Joubert G.R. Explicit difference approximations of Du Fort-Frankel type of the one-dimensional diffusion equation. Numer. Math. 18 (1971) 18-25
-
(1971)
Numer. Math.
, vol.18
, pp. 18-25
-
-
Joubert, G.R.1
-
76
-
-
70350327456
-
On the order of convergence of a difference equation to a solution of the diffusion equation
-
Juncosa M.L., and Young D.M. On the order of convergence of a difference equation to a solution of the diffusion equation. J. SIAM 1 (1953) 111-135
-
(1953)
J. SIAM
, vol.1
, pp. 111-135
-
-
Juncosa, M.L.1
Young, D.M.2
-
77
-
-
84968513006
-
On the convergence of a solution of a difference equation to a solution of the equation of diffusion
-
Juncosa M.L., and Young D.M. On the convergence of a solution of a difference equation to a solution of the equation of diffusion. Proc. Amer. Math. Soc. 5 (1954) 168-174
-
(1954)
Proc. Amer. Math. Soc.
, vol.5
, pp. 168-174
-
-
Juncosa, M.L.1
Young, D.M.2
-
78
-
-
84968472989
-
On the Crank-Nicolson procedure for solving parabolic partial differential equations
-
Juncosa M.L., and Young D.M. On the Crank-Nicolson procedure for solving parabolic partial differential equations. Proc. Cambridge Philos. Soc. 53 (1957) 448-461
-
(1957)
Proc. Cambridge Philos. Soc.
, vol.53
, pp. 448-461
-
-
Juncosa, M.L.1
Young, D.M.2
-
79
-
-
0043210567
-
On the instability of the Crank-Nicholson formula under derivative boundary conditions
-
Keast P., and Mitchell A.R. On the instability of the Crank-Nicholson formula under derivative boundary conditions. Computer J. 9 (1966) 110-114
-
(1966)
Computer J.
, vol.9
, pp. 110-114
-
-
Keast, P.1
Mitchell, A.R.2
-
80
-
-
34250522760
-
Finite difference solution of the third boundary problem in elliptic and parabolic equations
-
Keast P., and Mitchell A.R. Finite difference solution of the third boundary problem in elliptic and parabolic equations. Numer. Math. 10 (1967) 67-75
-
(1967)
Numer. Math.
, vol.10
, pp. 67-75
-
-
Keast, P.1
Mitchell, A.R.2
-
81
-
-
34250950779
-
Über Differenzenverfahren bei parabolischen Differentialgleichungen
-
Krawczyk R. Über Differenzenverfahren bei parabolischen Differentialgleichungen. Arch. Rational Mech. Anal. 13 (1963) 81-121
-
(1963)
Arch. Rational Mech. Anal.
, vol.13
, pp. 81-121
-
-
Krawczyk, R.1
-
82
-
-
34250960621
-
Über die Differenzapproximation höher Genauigkeit bei Anfangwertproblemen für partielle Differenzialgleichungen
-
Kreiss H.O. Über die Differenzapproximation höher Genauigkeit bei Anfangwertproblemen für partielle Differenzialgleichungen. Numer. Math. 1 (1959) 186-202
-
(1959)
Numer. Math.
, vol.1
, pp. 186-202
-
-
Kreiss, H.O.1
-
83
-
-
0003213309
-
Über Matrizen die beschränkte Halbgruppen erzeugen
-
Kreiss H.O. Über Matrizen die beschränkte Halbgruppen erzeugen. Math. Scand. 7 (1959) 71-80
-
(1959)
Math. Scand.
, vol.7
, pp. 71-80
-
-
Kreiss, H.O.1
-
84
-
-
51249194017
-
Über die Lösung des Cauchyproblems für lineare partielle Differenzialgleichungen mit Hilfe von Differenzengleichungen
-
Kreiss H.O. Über die Lösung des Cauchyproblems für lineare partielle Differenzialgleichungen mit Hilfe von Differenzengleichungen. Acta Math. 101 (1959) 179-199
-
(1959)
Acta Math.
, vol.101
, pp. 179-199
-
-
Kreiss, H.O.1
-
85
-
-
85012804111
-
Über die Lösung von Anfangsrandwertaufgaben für partielle Differentialgleichungen mit Hilfe von Differenzengleichungen
-
Kreiss H.O. Über die Lösung von Anfangsrandwertaufgaben für partielle Differentialgleichungen mit Hilfe von Differenzengleichungen. Trans. Roy. Inst. Technol. Stockholm 166 (1960)
-
(1960)
Trans. Roy. Inst. Technol. Stockholm
, vol.166
-
-
Kreiss, H.O.1
-
86
-
-
0001531681
-
Über die Stabilitätsdefinition für Differenzengleichungen die partielle Differentialgleichungen approximieren
-
Kreiss H.O. Über die Stabilitätsdefinition für Differenzengleichungen die partielle Differentialgleichungen approximieren. Nordisk Tidskr. Informationsbehandling 2 (1962) 153-181
-
(1962)
Nordisk Tidskr. Informationsbehandling
, vol.2
, pp. 153-181
-
-
Kreiss, H.O.1
-
87
-
-
0348087934
-
Über implicite Differenzmethoden für partielle Differentialgleichungen
-
Kreiss H.O. Über implicite Differenzmethoden für partielle Differentialgleichungen. Numer. Math. 5 (1963) 24-47
-
(1963)
Numer. Math.
, vol.5
, pp. 24-47
-
-
Kreiss, H.O.1
-
88
-
-
84968464571
-
Stability theory of difference approximations for mixed initial boundary value problems, I
-
Kreiss H.O. Stability theory of difference approximations for mixed initial boundary value problems, I. Math Comp. 22 (1968) 703-714
-
(1968)
Math Comp.
, vol.22
, pp. 703-714
-
-
Kreiss, H.O.1
-
89
-
-
84980136557
-
Smoothing of initial data and rates of convergence for parabolic difference equations
-
Kreiss H.O., Thomée V., and Widlund O.B. Smoothing of initial data and rates of convergence for parabolic difference equations. Comm. Pure Appl. Math. 23 (1970) 241-259
-
(1970)
Comm. Pure Appl. Math.
, vol.23
, pp. 241-259
-
-
Kreiss, H.O.1
Thomée, V.2
Widlund, O.B.3
-
90
-
-
34250584687
-
Über eine Methode zur Lösung der Wärmeleitungsgleichung
-
Laasonen P. Über eine Methode zur Lösung der Wärmeleitungsgleichung. Acta Math. 81 (1949) 309-317
-
(1949)
Acta Math.
, vol.81
, pp. 309-317
-
-
Laasonen, P.1
-
91
-
-
0003690985
-
-
Nauka, Moscow, American Mathematical Society, Berlin
-
Nauka, Moscow. Ladyzenskaja O.A., Solonnikov V.A., and Ural'ceva N.N. Linear and Quasilinear Equations of Parabolic Type (1967-1968), American Mathematical Society, Berlin
-
(1968)
Linear and Quasilinear Equations of Parabolic Type
-
-
Ladyzenskaja, O.A.1
Solonnikov, V.A.2
Ural'ceva, N.N.3
-
92
-
-
84980086027
-
Survey of the stability of linear finite difference equations
-
Lax P.D., and Richtmyer R.D. Survey of the stability of linear finite difference equations. Comm. Pure Appl. Math. 9 (1956) 267-293
-
(1956)
Comm. Pure Appl. Math.
, vol.9
, pp. 267-293
-
-
Lax, P.D.1
Richtmyer, R.D.2
-
93
-
-
3142621539
-
Convergence estimates for difference schemes for parabolic equations to generalized solutions
-
(in Russian)
-
(in Russian). Lazarov R.D. Convergence estimates for difference schemes for parabolic equations to generalized solutions. C.R. Acad. Bulgare Sci. 35 1 (1982) 7-10
-
(1982)
C.R. Acad. Bulgare Sci.
, vol.35
, Issue.1
, pp. 7-10
-
-
Lazarov, R.D.1
-
94
-
-
0005340494
-
Approximate solution of parabolic equations
-
Lees M. Approximate solution of parabolic equations. J. SIAM 7 (1959) 167-183
-
(1959)
J. SIAM
, vol.7
, pp. 167-183
-
-
Lees, M.1
-
95
-
-
84972525302
-
A priori estimates for the solution of difference approximations to parabolic differential equations
-
Lees M. A priori estimates for the solution of difference approximations to parabolic differential equations. Duke Math. J. 27 (1960) 297-311
-
(1960)
Duke Math. J.
, vol.27
, pp. 297-311
-
-
Lees, M.1
-
96
-
-
84936363463
-
Energy inequalities for the solution of differential equations
-
Lees M. Energy inequalities for the solution of differential equations. Trans Amer. Math. Soc. 94 (1960) 58-73
-
(1960)
Trans Amer. Math. Soc.
, vol.94
, pp. 58-73
-
-
Lees, M.1
-
97
-
-
0001734083
-
Alternating direction and semi-explicit difference methods for parabolic partial differential equations
-
Lees M. Alternating direction and semi-explicit difference methods for parabolic partial differential equations. Numer. Math. 3 (1961) 398-412
-
(1961)
Numer. Math.
, vol.3
, pp. 398-412
-
-
Lees, M.1
-
98
-
-
84968518042
-
On the convergence of approximate solutions of the heat equation to the exact solution
-
Leutert W. On the convergence of approximate solutions of the heat equation to the exact solution. Proc. Amer. Math. Soc. 2 (1951) 433-439
-
(1951)
Proc. Amer. Math. Soc.
, vol.2
, pp. 433-439
-
-
Leutert, W.1
-
99
-
-
0347759319
-
On the convergence of unstable approximate solutions of the heat equation to the exact solution
-
Leutert W. On the convergence of unstable approximate solutions of the heat equation to the exact solution. J. Math. Phys. 30 (1952) 245-251
-
(1952)
J. Math. Phys.
, vol.30
, pp. 245-251
-
-
Leutert, W.1
-
100
-
-
0005717591
-
Besov spaces in theory of approximation
-
Löfström J. Besov spaces in theory of approximation. Ann. Mat. Pura Appl. 85 (1970) 93-184
-
(1970)
Ann. Mat. Pura Appl.
, vol.85
, pp. 93-184
-
-
Löfström, J.1
-
101
-
-
0342808859
-
The numerical integration of heat conduction equations
-
Lotkin M. The numerical integration of heat conduction equations. J. Math. Phys. 37 (1958) 178-187
-
(1958)
J. Math. Phys.
, vol.37
, pp. 178-187
-
-
Lotkin, M.1
-
102
-
-
70350319179
-
Sur les solutions numériques du problème de la chaleur
-
Mignot N. Sur les solutions numériques du problème de la chaleur. C.R. Acad. Sci. Paris Sér. I. Math. 236 25 (1953) 2375-2377
-
(1953)
C.R. Acad. Sci. Paris Sér. I. Math.
, vol.236
, Issue.25
, pp. 2375-2377
-
-
Mignot, N.1
-
103
-
-
0014566979
-
The construction of unbalanced difference operators for parabolic initial boundary value problems
-
Miller J. The construction of unbalanced difference operators for parabolic initial boundary value problems. SIAM J. Numer. Anal. 6 (1969) 476-479
-
(1969)
SIAM J. Numer. Anal.
, vol.6
, pp. 476-479
-
-
Miller, J.1
-
106
-
-
49649143151
-
Two-layer parabolic and weakly parabolic difference schemes
-
(in Russian). (U.S.S.R Comput. Math. and Math. Pys. 15(3), 111-121)
-
(in Russian). (U.S.S.R Comput. Math. and Math. Pys. 15(3), 111-121). Mokin Yu.I. Two-layer parabolic and weakly parabolic difference schemes. Zh. Vychisl. Mat. i Mat. Fiz. 15 3 (1975) 661-671
-
(1975)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.15
, Issue.3
, pp. 661-671
-
-
Mokin, Yu.I.1
-
107
-
-
34250479812
-
Über die Konvergenzordnung von Differenzenverfahren, die parabolische Anfangswertaufgaben approximieren
-
Monien B. Über die Konvergenzordnung von Differenzenverfahren, die parabolische Anfangswertaufgaben approximieren. Computing 5 (1970) 221-245
-
(1970)
Computing
, vol.5
, pp. 221-245
-
-
Monien, B.1
-
108
-
-
0016318833
-
Uniform stability of a class of parabolic difference operators
-
Nordmark S. Uniform stability of a class of parabolic difference operators. BIT 14 (1974) 314-325
-
(1974)
BIT
, vol.14
, pp. 314-325
-
-
Nordmark, S.1
-
109
-
-
0001162689
-
A study of the numerical solution of partial differential equations
-
O'Brien G.G., Hyman M.A., and Kaplan S. A study of the numerical solution of partial differential equations. J. Math. Phys. 29 (1951) 223-251
-
(1951)
J. Math. Phys.
, vol.29
, pp. 223-251
-
-
O'Brien, G.G.1
Hyman, M.A.2
Kaplan, S.3
-
110
-
-
70350333522
-
The numerical solution of the heat conduction equation subject to separated boundary conditions
-
Osborne M.R. The numerical solution of the heat conduction equation subject to separated boundary conditions. Comput. J. 12 (1969) 82-87
-
(1969)
Comput. J.
, vol.12
, pp. 82-87
-
-
Osborne, M.R.1
-
111
-
-
70350325714
-
Maximum norm stability for parabolic difference schemes in half-space
-
Springer, London
-
Osher S. Maximum norm stability for parabolic difference schemes in half-space. Hyperbolic Equations and Waves (1969), Springer, London 61-75
-
(1969)
Hyperbolic Equations and Waves
, pp. 61-75
-
-
Osher, S.1
-
112
-
-
0014798232
-
Mesh refinements for the heat equation
-
Osher S. Mesh refinements for the heat equation. SIAM J. Numer. Anal. 7 (1970) 199-205
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 199-205
-
-
Osher, S.1
-
113
-
-
0001717091
-
Stability of parabolic difference approximations to certain mixed initial boundary value problems
-
Osher S. Stability of parabolic difference approximations to certain mixed initial boundary value problems. Math. Comp. 26 (1972) 13-39
-
(1972)
Math. Comp.
, vol.26
, pp. 13-39
-
-
Osher, S.1
-
114
-
-
0042709447
-
Persistent discretization errors in partial differential equations of parabolic type
-
Parker I.B., and Crank J. Persistent discretization errors in partial differential equations of parabolic type. Comput. J. 7 (1964) 163-167
-
(1964)
Comput. J.
, vol.7
, pp. 163-167
-
-
Parker, I.B.1
Crank, J.2
-
115
-
-
0002058827
-
The numerical solution of parabolic and elliptic differential equations
-
Peaceman D.W., and Rachford Jr. H.H. The numerical solution of parabolic and elliptic differential equations. J. SIAM 3 (1955) 28-41
-
(1955)
J. SIAM
, vol.3
, pp. 28-41
-
-
Peaceman, D.W.1
Rachford Jr., H.H.2
-
116
-
-
0005738850
-
On the rate of convergence for discrete initial value problems
-
Peetre J., and Thomée V. On the rate of convergence for discrete initial value problems. Math. Scand. 21 (1967) 159-176
-
(1967)
Math. Scand.
, vol.21
, pp. 159-176
-
-
Peetre, J.1
Thomée, V.2
-
117
-
-
57749083837
-
Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen
-
Petrovskii I.G. Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen. Rec. Math. (Math. Sb.) 2 (1937) 814-868
-
(1937)
Rec. Math. (Math. Sb.)
, vol.2
, pp. 814-868
-
-
Petrovskii, I.G.1
-
119
-
-
49349129317
-
p estimates for parabolic difference problems
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 16 (5), 1155-1163)
-
p estimates for parabolic difference problems. Zh. Vychisl. Mat. i Mat. Fiz. 16 5 (1976) 65-74
-
(1976)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.16
, Issue.5
, pp. 65-74
-
-
Politchka, A.E.1
Sobolevskii, P.E.2
-
120
-
-
0344886743
-
Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires
-
Raviart P.A. Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires. J. Math. Pures Appl. 46 1 (1967) 11-107
-
(1967)
J. Math. Pures Appl.
, vol.46
, Issue.1
, pp. 11-107
-
-
Raviart, P.A.1
-
121
-
-
0344886743
-
Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires
-
Raviart P.A. Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires. J. Math. Pures Appl. 46 2 (1967) 109-183
-
(1967)
J. Math. Pures Appl.
, vol.46
, Issue.2
, pp. 109-183
-
-
Raviart, P.A.1
-
123
-
-
70350328685
-
On the integration of non-linear parabolic equations by implicit difference methods
-
Rose M.E. On the integration of non-linear parabolic equations by implicit difference methods. Quart. Appl. Math. 14 (1956) 237-248
-
(1956)
Quart. Appl. Math.
, vol.14
, pp. 237-248
-
-
Rose, M.E.1
-
124
-
-
0001983496
-
Wärmeleitungsgleichung mit nichtkonstanten Koefficienten
-
Rothe E. Wärmeleitungsgleichung mit nichtkonstanten Koefficienten. Math. Ann. 104 (1931) 340-362
-
(1931)
Math. Ann.
, vol.104
, pp. 340-362
-
-
Rothe, E.1
-
126
-
-
0005663654
-
A priori estimates for the solution of the difference analogue of a parabolic differential equation
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 487-512)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 487-512). Samarskii A.A. A priori estimates for the solution of the difference analogue of a parabolic differential equation. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 441-460
-
(1961)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.1
, pp. 441-460
-
-
Samarskii, A.A.1
-
127
-
-
70350309779
-
A priori estimates for difference equations
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 1138-1167)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 1138-1167). Samarskii A.A. A priori estimates for difference equations. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 972-1000
-
(1961)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.1
, pp. 972-1000
-
-
Samarskii, A.A.1
-
128
-
-
70350277378
-
On the convergence and accuracy of homogeneous difference schemes for one-dimensional and multidimensional parabolic equations
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 2, 654-696)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 2, 654-696). Samarskii A.A. On the convergence and accuracy of homogeneous difference schemes for one-dimensional and multidimensional parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 2 (1962) 603-634
-
(1962)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.2
, pp. 603-634
-
-
Samarskii, A.A.1
-
129
-
-
0011474528
-
On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 2, 894-926)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 2, 894-926). Samarskii A.A. On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region. Zh. Vychisl. Mat. i Mat. Fiz. 2 (1962) 787-811
-
(1962)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.2
, pp. 787-811
-
-
Samarskii, A.A.1
-
130
-
-
50549199963
-
Homogeneous difference schemes on non-uniform meshes for parabolic equations
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 3, 266-298)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 3, 266-298). Samarskii A.A. Homogeneous difference schemes on non-uniform meshes for parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 3 (1963) 351-393
-
(1963)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.3
, pp. 351-393
-
-
Samarskii, A.A.1
-
131
-
-
85012699979
-
An accurate high-order difference system for a heat conductivity equation with several space variables
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 4, 222-228)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 4, 222-228). Samarskii A.A. An accurate high-order difference system for a heat conductivity equation with several space variables. Zh. Vychisl. Mat. i Mat. Fiz. 4 (1964) 161-165
-
(1964)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.4
, pp. 161-165
-
-
Samarskii, A.A.1
-
132
-
-
50549198756
-
Economical difference schemes for parabolic equations with mixed derivatives
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 4, 753-759)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 4, 753-759). Samarskii A.A. Economical difference schemes for parabolic equations with mixed derivatives. Zh. Vychisl. Mat. i Mat. Fiz. 4 (1964) 182-191
-
(1964)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.4
, pp. 182-191
-
-
Samarskii, A.A.1
-
134
-
-
0141796380
-
On the convergence of homogeneous difference schemes for a heat-conduction equation with discontinuous coefficients
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 962-982)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 962-982). Samarskii A.A., and Fryazinov I.V. On the convergence of homogeneous difference schemes for a heat-conduction equation with discontinuous coefficients. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 806-824
-
(1961)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.1
, pp. 806-824
-
-
Samarskii, A.A.1
Fryazinov, I.V.2
-
137
-
-
0002874153
-
The uniform stability with respect to the initial data of a sixpoint symmetrical scheme for the heat conduction equation
-
Nauka, Oxford
-
Serdjukova S.J. The uniform stability with respect to the initial data of a sixpoint symmetrical scheme for the heat conduction equation. Numerical Methods for the Solution of Differential Equations and Quadrature Formulae (1964), Nauka, Oxford 212-216
-
(1964)
Numerical Methods for the Solution of Differential Equations and Quadrature Formulae
, pp. 212-216
-
-
Serdjukova, S.J.1
-
138
-
-
0005665038
-
The uniform stability of a sixpoint scheme of increased order of accuracy for the heat equation
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 7, 297-303)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 7, 297-303). Serdjukova S.J. The uniform stability of a sixpoint scheme of increased order of accuracy for the heat equation. Zh. Vychisl. Mat. i Mat. Fiz. 7 (1967) 214-218
-
(1967)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.7
, pp. 214-218
-
-
Serdjukova, S.J.1
-
139
-
-
70350266510
-
On the correctness of Cauchy problems for systems of partial differential equations with constant coefficients
-
(in Russian)
-
(in Russian). Shilov G.E. On the correctness of Cauchy problems for systems of partial differential equations with constant coefficients. Uspekhi Mat. Nauk. 10 (1955) 89-100
-
(1955)
Uspekhi Mat. Nauk.
, vol.10
, pp. 89-100
-
-
Shilov, G.E.1
-
141
-
-
84982378092
-
Anwendung des Äquivalenzsatzes von P. Lax auf inhomogene Probleme
-
Stetter H.J. Anwendung des Äquivalenzsatzes von P. Lax auf inhomogene Probleme. Z. Angew. Math. Mech. 39 (1959) 396-397
-
(1959)
Z. Angew. Math. Mech.
, vol.39
, pp. 396-397
-
-
Stetter, H.J.1
-
142
-
-
70350322403
-
On the order of convergence of the Crank-Nicolson procedure
-
Strang W.G. On the order of convergence of the Crank-Nicolson procedure. J. Math. Phys. 38 (1959) 141-144
-
(1959)
J. Math. Phys.
, vol.38
, pp. 141-144
-
-
Strang, W.G.1
-
143
-
-
84972534187
-
Difference methods for mixed boundary value problems
-
Strang W.G. Difference methods for mixed boundary value problems. Duke Math. J. 27 (1960) 221-232
-
(1960)
Duke Math. J.
, vol.27
, pp. 221-232
-
-
Strang, W.G.1
-
144
-
-
0009472127
-
Accurate partial difference methods I: Linear Cauchy problems
-
Strang G. Accurate partial difference methods I: Linear Cauchy problems. Arch. Rational Mech. Anal. 13 (1963) 392-402
-
(1963)
Arch. Rational Mech. Anal.
, vol.13
, pp. 392-402
-
-
Strang, G.1
-
145
-
-
0005684814
-
Unbalanced polynomials and difference methods for mixed problems
-
Strang. Unbalanced polynomials and difference methods for mixed problems. SIAM J. Numer. Anal. 2 (1964) 46-51
-
(1964)
SIAM J. Numer. Anal.
, vol.2
, pp. 46-51
-
-
Strang1
-
146
-
-
27144497812
-
Wiener Hopf difference equations
-
Strang G. Wiener Hopf difference equations. J. Math. Mech. 13 (1964) 85-96
-
(1964)
J. Math. Mech.
, vol.13
, pp. 85-96
-
-
Strang, G.1
-
147
-
-
0041109270
-
Implicit difference methods for initial boundary value problems
-
Strang G. Implicit difference methods for initial boundary value problems. J. Math. Anal. Appl. 16 (1966) 188-198
-
(1966)
J. Math. Anal. Appl.
, vol.16
, pp. 188-198
-
-
Strang, G.1
-
148
-
-
34250505332
-
Perturbation theory of difference schemes
-
Sunauchi H. Perturbation theory of difference schemes. Numer. Math. 12 (1968) 454-458
-
(1968)
Numer. Math.
, vol.12
, pp. 454-458
-
-
Sunauchi, H.1
-
149
-
-
0014734969
-
The stability of the Du Fort-Frankel method for the diffusion equation with boundary conditions involving space derivatives
-
Taylor P.J. The stability of the Du Fort-Frankel method for the diffusion equation with boundary conditions involving space derivatives. Computer J. 13 (1970) 92-97
-
(1970)
Computer J.
, vol.13
, pp. 92-97
-
-
Taylor, P.J.1
-
150
-
-
0005708873
-
Elliptic difference operators and Dirichlet's problem
-
Thomée V. Elliptic difference operators and Dirichlet's problem. Contribut. Differential Equations 3 (1964) 301-324
-
(1964)
Contribut. Differential Equations
, vol.3
, pp. 301-324
-
-
Thomée, V.1
-
151
-
-
50549212665
-
Stability of difference schemes in the maximum-norm
-
Thomée V. Stability of difference schemes in the maximum-norm. J. Differential Equations 1 (1965) 273-292
-
(1965)
J. Differential Equations
, vol.1
, pp. 273-292
-
-
Thomée, V.1
-
152
-
-
70350331847
-
On maximum-norm stable difference operators
-
Bramble J.H. (Ed), Academic Press, London
-
Thomée V. On maximum-norm stable difference operators. In: Bramble J.H. (Ed). Numerical Solution of Partial Differential Equations (1966), Academic Press, London 125-151
-
(1966)
Numerical Solution of Partial Differential Equations
, pp. 125-151
-
-
Thomée, V.1
-
153
-
-
70350314458
-
Parabolic difference operators
-
Thomée V. Parabolic difference operators. Math. Scand. 19 (1966) 77-107
-
(1966)
Math. Scand.
, vol.19
, pp. 77-107
-
-
Thomée, V.1
-
154
-
-
70350309776
-
Generally unconditionally stable difference operators
-
Thomée V. Generally unconditionally stable difference operators. SIAM J. Numer. Anal. 4 (1967) 55-69
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, pp. 55-69
-
-
Thomée, V.1
-
155
-
-
0014496229
-
Stability theory for partial difference operators
-
Thomée V. Stability theory for partial difference operators. SIAM Rev. 11 (1969) 152-195
-
(1969)
SIAM Rev.
, vol.11
, pp. 152-195
-
-
Thomée, V.1
-
156
-
-
0003208045
-
Galerkin Finite Element Methods for Parabolic Problems
-
Springer, New York
-
Thomée V. Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics 1054 (1984), Springer, New York
-
(1984)
Lecture Notes in Mathematics
, vol.1054
-
-
Thomée, V.1
-
157
-
-
84968511128
-
Convergence rates of parabolic difference schemes for non-smooth data
-
Thomée V., and Wahlbin L.B. Convergence rates of parabolic difference schemes for non-smooth data. Math. Comp. 28 (1974) 1-13
-
(1974)
Math. Comp.
, vol.28
, pp. 1-13
-
-
Thomée, V.1
Wahlbin, L.B.2
-
158
-
-
0342986955
-
Difference approximations for inhomogeneous and quasi-linear equations
-
Thompson R.J. Difference approximations for inhomogeneous and quasi-linear equations. J. SIAM 12 (1964) 189-199
-
(1964)
J. SIAM
, vol.12
, pp. 189-199
-
-
Thompson, R.J.1
-
159
-
-
50549160386
-
Homogeneous difference schemes
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 5-67)
-
(in Russian). (U.S.S.R. Comput. Math. and Math. Phys. 1, 5-67). Tikhonov A.N., and Samarskii A.A. Homogeneous difference schemes. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 5-63
-
(1961)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.1
, pp. 5-63
-
-
Tikhonov, A.N.1
Samarskii, A.A.2
-
160
-
-
0005654113
-
Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation
-
Varah J.M. Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation. Math. Comp. 24 (1970) 31-44
-
(1970)
Math. Comp.
, vol.24
, pp. 31-44
-
-
Varah, J.M.1
-
161
-
-
85163206922
-
On high order stable implicit methods for solving parabolic partial differential equations
-
Varga R.S. On high order stable implicit methods for solving parabolic partial differential equations. J. Math. and Phys. 40 (1961) 220-231
-
(1961)
J. Math. and Phys.
, vol.40
, pp. 220-231
-
-
Varga, R.S.1
-
163
-
-
70350312943
-
On the accuracy of implicit difference approximations to equation of heat flow
-
Wasow W. On the accuracy of implicit difference approximations to equation of heat flow. Math. Tables Aids Comput. 12 (1958) 43-55
-
(1958)
Math. Tables Aids Comput.
, vol.12
, pp. 43-55
-
-
Wasow, W.1
-
164
-
-
70350327455
-
On the order of convergence of difference schemes for weak solutions of the heat conduction equation in nonisotropic nonhomogeneous media
-
(in Russian)
-
(in Russian). Weinelt W., Lazarov R.D., and Streit U. On the order of convergence of difference schemes for weak solutions of the heat conduction equation in nonisotropic nonhomogeneous media. Differencial' nye Uravnenija 20 (1984) 1144-1151
-
(1984)
Differencial' nye Uravnenija
, vol.20
, pp. 1144-1151
-
-
Weinelt, W.1
Lazarov, R.D.2
Streit, U.3
-
165
-
-
84968517769
-
On the stability of parabolic difference schemes
-
Widlund O.B. On the stability of parabolic difference schemes. Math. Comp. 19 (1965) 1-13
-
(1965)
Math. Comp.
, vol.19
, pp. 1-13
-
-
Widlund, O.B.1
-
166
-
-
0005748666
-
Stability of parabolic difference schemes in the maximum norm
-
Widlund O.B. Stability of parabolic difference schemes in the maximum norm. Numer. Math. 8 (1966) 186-202
-
(1966)
Numer. Math.
, vol.8
, pp. 186-202
-
-
Widlund, O.B.1
-
167
-
-
77954398423
-
On the rate of convergence for parabolic difference schemes, I
-
Numerical Solution of Field Problems in Continuum Physics, American Mathematical Society, Englewood Cliffs, NJ
-
Widlund O.B. On the rate of convergence for parabolic difference schemes, I. Numerical Solution of Field Problems in Continuum Physics. SIAM-AMS Proceedings II (1970), American Mathematical Society, Englewood Cliffs, NJ 60-73
-
(1970)
SIAM-AMS Proceedings
, vol.II
, pp. 60-73
-
-
Widlund, O.B.1
-
168
-
-
84980178101
-
On the rate of convergence for parabolic difference schemes II
-
Widlund O.B. On the rate of convergence for parabolic difference schemes II. Comm. Pure Appl. Math. 23 (1970) 79-96
-
(1970)
Comm. Pure Appl. Math.
, vol.23
, pp. 79-96
-
-
Widlund, O.B.1
|