-
1
-
-
0000496713
-
"On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations"
-
S. Abarbanel, D. Gottlieb, and M. H. Carpenter, "On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations", SIAM J. Sci. Comput. 17 (1996), 777-782
-
(1996)
SIAM J. Sci. Comput
, vol.17
, pp. 777-782
-
-
Abarbanel, S.1
Gottlieb, D.2
Carpenter, M.H.3
-
2
-
-
5144234666
-
"Implicit-explicit BDF methods for the Kuramoto-Silvashinsky equation"
-
G. Akrivis and Y.-S. Smyrlis, "Implicit-explicit BDF methods for the Kuramoto-Silvashinsky equation", Appl. Numer. Math. 51 (2004), 151-169
-
(2004)
Appl. Numer. Math
, vol.51
, pp. 151-169
-
-
Akrivis, G.1
Smyrlis, Y.-S.2
-
3
-
-
0032363607
-
"Implicit-explicit multistep finite element methods for nonlinear parabolic equations"
-
G. Akrivis, M. Crouzeix, and C. Makridakis, "Implicit-explicit multistep finite element methods for nonlinear parabolic equations", Math. Comp. 67 (1998), 457-477
-
(1998)
Math. Comp
, vol.67
, pp. 457-477
-
-
Akrivis, G.1
Crouzeix, M.2
Makridakis, C.3
-
4
-
-
0033439131
-
"Implicit-explicit multistep methods for quasilinear parabolic equations"
-
G. Akrivis,M. Crouzeix, and C. Makridakis, "Implicit-explicit multistep methods for quasilinear parabolic equations", Numer. Math. 82 (1999), 521-541
-
(1999)
Numer. Math
, vol.82
, pp. 521-541
-
-
Akrivis, G.1
Crouzeix, M.2
Makridakis, C.3
-
5
-
-
0036568582
-
"Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems"
-
B. Alonso-Mallo, I. and Cano, "Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems", Appl. Numer. Math. 41 (2002), 247-268
-
(2002)
Appl. Numer. Math
, vol.41
, pp. 247-268
-
-
Alonso-Mallo, B.1
Cano, I.2
-
6
-
-
0036627738
-
"Runge-Kutta methods without order reduction for intial boundary value problems"
-
I. Alonso-Mallo, "Runge-Kutta methods without order reduction for intial boundary value problems", Numer. Math. 91 (2002), 577-603
-
(2002)
Numer. Math
, vol.91
, pp. 577-603
-
-
Alonso-Mallo, I.1
-
7
-
-
0001737039
-
"Implicit-explicit methods for time-dependent partial differential equations"
-
MR.96j:65076
-
U. M. Ascher, S. J. Ruuth, and B. T. R. Wetton, "Implicit-explicit methods for time-dependent partial differential equations", SIAM J. Numer. Anal. 32:3 (1995), 797-823. MR 96j:65076
-
(1995)
SIAM J. Numer. Anal
, vol.32
, Issue.3
, pp. 797-823
-
-
Ascher, U.M.1
Ruuth, S.J.2
Wetton, B.T.R.3
-
8
-
-
0031269714
-
"Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations"
-
U. M. Ascher, S. J. Ruuth, and R. J. Spiteri, "Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations", Appl. Numer. Math. 25 (1997), 151-167
-
(1997)
Appl. Numer. Math
, vol.25
, pp. 151-167
-
-
Ascher, U.M.1
Ruuth, S.J.2
Spiteri, R.J.3
-
9
-
-
48749141209
-
"Adaptive mesh refinement for hyperbolic partial differential equations"
-
MR.85h:65211
-
M. J. Berger and J. Oliger, "Adaptive mesh refinement for hyperbolic partial differential equations", J. Comput. Phys. 53:3 (1984), 484-512. MR 85h:65211
-
(1984)
J. Comput. Phys
, vol.53
, Issue.3
, pp. 484-512
-
-
Berger, M.J.1
Oliger, J.2
-
10
-
-
0042657868
-
"Higher-order multi-implicit spectral deferred correction methods for problems of reacting flow"
-
A. Bourlioux, A. T. Layton, and M. L. Minion, "Higher-order multi-implicit spectral deferred correction methods for problems of reacting flow", J. Comput. Phys. 189 (2003), 351-376
-
(2003)
J. Comput. Phys
, vol.189
, pp. 351-376
-
-
Bourlioux, A.1
Layton, A.T.2
Minion, M.L.3
-
11
-
-
0036792332
-
"Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems"
-
MR.2003h:65091
-
M. P. Calvo and C. Palencia, "Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems", Math. Comp. 71:240 (2002), 1529-1543. MR 2003h:65091
-
(2002)
Math. Comp
, vol.71
, Issue.240
, pp. 1529-1543
-
-
Calvo, M.P.1
Palencia, C.2
-
12
-
-
0035370920
-
"Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations"
-
MR.2002e:65114
-
M. P. Calvo, J. de Frutos, and J. Novo, "Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations", Appl. Numer. Math. 37:4 (2001), 535-549. MR 2002e:65114
-
(2001)
Appl. Numer. Math
, vol.37
, Issue.4
, pp. 535-549
-
-
Calvo, M.P.1
de Frutos, J.2
Novo, J.3
-
13
-
-
0001186440
-
"The theoretical accuracy of Runge-Kutta time discretizations for the initial-boundary value problem: a study of the boundary error"
-
MR.96h:65088
-
M. H. Carpenter, D. Gottlieb, S. Abarbanel, and W. S. Don, "The theoretical accuracy of Runge-Kutta time discretizations for the initial-boundary value problem: a study of the boundary error", SIAM J. Sci. Comput. 16:6 (1995), 1241-1252. MR 96h:65088
-
(1995)
SIAM J. Sci. Comput
, vol.16
, Issue.6
, pp. 1241-1252
-
-
Carpenter, M.H.1
Gottlieb, D.2
Abarbanel, S.3
Don, W.S.4
-
14
-
-
0042185232
-
"Spectral deferred correction methods for ordinary differential equations"
-
MR.2001e:65104
-
A. Dutt, L. Greengard, and V. Rokhlin, "Spectral deferred correction methods for ordinary differential equations", BIT 40:2 (2000), 241-266. MR 2001e:65104
-
(2000)
BIT
, vol.40
, Issue.2
, pp. 241-266
-
-
Dutt, A.1
Greengard, L.2
Rokhlin, V.3
-
15
-
-
85017510434
-
On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems, Dept
-
Research Rpt. CSRR 2010, University of Waterloo
-
B. L. Ehle, On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems, Dept. Applied Analysis and Computer Sci., Research Rpt. CSRR 2010, University of Waterloo, 1969
-
(1969)
Applied Analysis and Computer Sci
-
-
Ehle, B.L.1
-
16
-
-
0031275886
-
"On the stability of implicit-explicit linear multistep methods"
-
MR.98m:65126 . Special issue on time integration (Amsterdam, 1996)
-
J. Frank, W. Hundsdorfer, and J. G. Verwer, "On the stability of implicit-explicit linear multistep methods", Appl. Numer. Math. 25:2-3 (1997), 193-205. Special issue on time integration (Amsterdam, 1996). MR 98m:65126
-
(1997)
Appl. Numer. Math
, vol.25
, Issue.2-3
, pp. 193-205
-
-
Frank, J.1
Hundsdorfer, W.2
Verwer, J.G.3
-
18
-
-
0003589989
-
-
II, Springer Series in Computational Mathematics 14, Springer, Berlin,. Stiff and differentialalgebraic problems. MR 92a:65016
-
E. Hairer and G. Wanner, Solving ordinary differential equations. II, Springer Series in Computational Mathematics 14, Springer, Berlin, 1991. Stiff and differentialalgebraic problems. MR 92a:65016
-
(1991)
Solving ordinary differential equations
-
-
Hairer, E.1
Wanner, G.2
-
19
-
-
0036679952
-
"On the contractivity of implicit-explcit linear multistep methods"
-
K. J. in't Hout, "On the contractivity of implicit-explcit linear multistep methods", Appl. Numer. Math. 42 (2002), 201-212
-
(2002)
Appl. Numer. Math
, vol.42
, pp. 201-212
-
-
in't Hout, K.J.1
-
20
-
-
0037216570
-
"Additive Runge-Kutta schemes for convection-diffusion-reaction equations"
-
MR.2003m:65111
-
C. A. Kennedy and M. H. Carpenter, "Additive Runge-Kutta schemes for convection-diffusion-reaction equations", Appl. Numer. Math. 44:1-2 (2003), 139-181. MR 2003m:65111
-
(2003)
Appl. Numer. Math
, vol.44
, Issue.1-2
, pp. 139-181
-
-
Kennedy, C.A.1
Carpenter, M.H.2
-
21
-
-
1442282983
-
"Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics"
-
MR.2004k:76089
-
A. T. Layton and M. L. Minion, "Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics", J. Comput. Phys. 194:2 (2004), 697-715. MR 2004k:76089
-
(2004)
J. Comput. Phys
, vol.194
, Issue.2
, pp. 697-715
-
-
Layton, A.T.1
Minion, M.L.2
-
22
-
-
27144534869
-
"Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations"
-
MR.2006h:65087
-
A. T. Layton and M. L. Minion, "Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations", BIT 45:2 (2005), 341-373. MR 2006h:65087
-
(2005)
BIT
, vol.45
, Issue.2
, pp. 341-373
-
-
Layton, A.T.1
Minion, M.L.2
-
23
-
-
0034431558
-
"Central schemes for balance laws of relaxation type"
-
MR.2001j:65128
-
S. F. Liotta, V. Romano, and G. Russo, "Central schemes for balance laws of relaxation type", SIAM J. Numer. Anal. 38:4 (2000), 1337-1356. MR 2001j:65128
-
(2000)
SIAM J. Numer. Anal
, vol.38
, Issue.4
, pp. 1337-1356
-
-
Liotta, S.F.1
Romano, V.2
Russo, G.3
-
24
-
-
85128807957
-
"Semi-implicit spectral deferred correction methods for ordinary differential equations"
-
MR.2005f:65085
-
M. L. Minion, "Semi-implicit spectral deferred correction methods for ordinary differential equations", Commun. Math. Sci. 1:3 (2003), 471-500. MR 2005f:65085
-
(2003)
Commun. Math. Sci
, vol.1
, Issue.3
, pp. 471-500
-
-
Minion, M.L.1
-
25
-
-
1042275348
-
"Semi-implicit projection methods for incompressible flow based on spectral deferred corrections"
-
MR.MR2056924. Workshop on Innovative Time Integrators for PDEs
-
M. L. Minion, "Semi-implicit projection methods for incompressible flow based on spectral deferred corrections", Appl. Numer. Math. 48:3-4 (2004), 369-387. Workshop on Innovative Time Integrators for PDEs. MR MR2056924
-
(2004)
Appl. Numer. Math
, vol.48
, Issue.3-4
, pp. 369-387
-
-
Minion, M.L.1
-
26
-
-
0012148580
-
"Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations"
-
Nova Sci. Publ., Huntington, NY, 2001. MR 2005a:65065
-
L. Pareschi and G. Russo, "Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations", pp. 269-288 in Recent trends in numerical analysis, Adv. Theory Comput. Math. 3, Nova Sci. Publ., Huntington, NY, 2001. MR 2005a:65065
-
Recent trends in numerical analysis, Adv. Theory Comput. Math
, vol.3
, pp. 269-288
-
-
Pareschi, L.1
Russo, G.2
-
27
-
-
28844475047
-
"Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation"
-
MR.MR2231946
-
L. Pareschi and G. Russo, "Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation", J. Sci. Comput. 25:1-2 (2005), 129-155. MR MR2231946
-
(2005)
J. Sci. Comput
, vol.25
, Issue.1-2
, pp. 129-155
-
-
Pareschi, L.1
Russo, G.2
-
28
-
-
0031215972
-
"The correct formulation of intermediate boundary conditions for Runge-Kutta time integration of initial-boundary value problems"
-
MR.98d:65100
-
D. Pathria, "The correct formulation of intermediate boundary conditions for Runge-Kutta time integration of initial-boundary value problems", SIAM J. Sci. Comput. 18:5 (1997), 1255-1266. MR 98d:65100
-
(1997)
SIAM J. Sci. Comput
, vol.18
, Issue.5
, pp. 1255-1266
-
-
Pathria, D.1
-
29
-
-
1042292758
-
"Avoiding order reduction of fractional step Runge-Kutta discretizations for linear time dependent coefficient parabolic problems"
-
MR.2005d:65153. Workshop on Innovative Time Integrators for PDEs
-
L. Portero, J. C. Jorge, and B. Bujanda, "Avoiding order reduction of fractional step Runge-Kutta discretizations for linear time dependent coefficient parabolic problems", Appl. Numer. Math. 48:3-4 (2004), 409-424. Workshop on Innovative Time Integrators for PDEs. MR 2005d:65153
-
(2004)
Appl. Numer. Math
, vol.48
, Issue.3-4
, pp. 409-424
-
-
Portero, L.1
Jorge, J.C.2
Bujanda, B.3
-
30
-
-
84968497765
-
"On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations"
-
MR.48 #10125
-
A. Prothero and A. Robinson, "On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations", Math. Comp. 28 (1974), 145-162. MR 48 #10125
-
(1974)
Math. Comp
, vol.28
, pp. 145-162
-
-
Prothero, A.1
Robinson, A.2
-
31
-
-
0000391272
-
"Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations"
-
MR.88f:65146
-
J. M. Sanz-Serna, J. G. Verwer, and W. H. Hundsdorfer, "Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations", Numer. Math. 50:4 (1987), 405-418. MR 88f:65146
-
(1987)
Numer. Math
, vol.50
, Issue.4
, pp. 405-418
-
-
Sanz-Serna, J.M.1
Verwer, J.G.2
Hundsdorfer, W.H.3
-
32
-
-
84959232904
-
"Semi-implicit Runge-Kutta schemes for the non-autonomous differential equations in reactive flow computations"
-
(New Orleans, 1996), Amer. Inst. Aeronautics and Astronautics, June
-
J. W. Shen and X. Zhong, "Semi-implicit Runge-Kutta schemes for the non-autonomous differential equations in reactive flow computations", in Proceedings of the 27th AIAA Fluid Dynamics Conference (New Orleans, 1996), Amer. Inst. Aeronautics and Astronautics, June 1996
-
(1996)
Proceedings of the 27th AIAA Fluid Dynamics Conference
-
-
Shen, J.W.1
Zhong, X.2
-
33
-
-
0009419915
-
"A note on unconditionally stable linear multistep methods"
-
MR.35 #6373
-
O. B. Widlund, "A note on unconditionally stable linear multistep methods", Nordisk Tidskr. Informations-Behandling 7 (1967), 65-70. MR 35 #6373
-
(1967)
Nordisk Tidskr. Informations-Behandling
, vol.7
, pp. 65-70
-
-
Widlund, O.B.1
-
34
-
-
0030269186
-
"Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows"
-
MR.97e:80019
-
X. Zhong, "Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows", J. Comput. Phys. 128:1 (1996), 19-31. MR 97e:80019
-
(1996)
J. Comput. Phys
, vol.128
, Issue.1
, pp. 19-31
-
-
Zhong, X.1
|