-
1
-
-
0035732641
-
A new formulation of Adomian method: Convergence resuit
-
ABBAOUI, K., PUJOL, M. J., CHERRUAULT, Y., HIMOUN, N. & GRIMALT, P. (2001) A new formulation of Adomian method: convergence resuit. Kybernetes, 30, 1183-1191.
-
(2001)
Kybernetes
, vol.30
, pp. 1183-1191
-
-
ABBAOUI, K.1
PUJOL, M.J.2
CHERRUAULT, Y.3
HIMOUN, N.4
GRIMALT, P.5
-
2
-
-
0036869346
-
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems (I) methods
-
ADAMS, E. & PLUM, M. (2002a) Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems (I) methods. J. Math. Anal. Appl., 275, 333-353.
-
(2002)
J. Math. Anal. Appl
, vol.275
, pp. 333-353
-
-
ADAMS, E.1
PLUM, M.2
-
3
-
-
0036948396
-
Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems (II) properties and supplements
-
ADAMS, E. & PLUM, M. (2002b) Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems (II) properties and supplements. J. Math. Anal. Appl., 276, 64-79.
-
(2002)
J. Math. Anal. Appl
, vol.276
, pp. 64-79
-
-
ADAMS, E.1
PLUM, M.2
-
4
-
-
0001787336
-
Asymptotic correction of computed eigenvalues of differential equations
-
ANDREW, A. L. (1994) Asymptotic correction of computed eigenvalues of differential equations. Ann. Numer. Math., 1, 41-51.
-
(1994)
Ann. Numer. Math
, vol.1
, pp. 41-51
-
-
ANDREW, A.L.1
-
5
-
-
33747219484
-
Quadrature errors in finite element eigenvalue computations
-
ANDREW, A. L. (2000) Quadrature errors in finite element eigenvalue computations. Aust N. Z. Ind. Appl. Math. J., 42, 136-140.
-
(2000)
Aust N. Z. Ind. Appl. Math. J
, vol.42
, pp. 136-140
-
-
ANDREW, A.L.1
-
6
-
-
4043163523
-
Asymptotic correction of more Sturm-Liouville eigenvalue estimates
-
ANDREW, A. L. (2003) Asymptotic correction of more Sturm-Liouville eigenvalue estimates. BIT, 43, 485-503.
-
(2003)
BIT
, vol.43
, pp. 485-503
-
-
ANDREW, A.L.1
-
7
-
-
0029190739
-
On the numerical solution of nonlinear eigenvalue problems
-
ANDREW, A. L., CHU, K.-W. E. & LANCASTER, P. (1995) On the numerical solution of nonlinear eigenvalue problems. Computing, 55, 91-111.
-
(1995)
Computing
, vol.55
, pp. 91-111
-
-
ANDREW, A.L.1
CHU, K.-W.E.2
LANCASTER, P.3
-
10
-
-
54249116319
-
Eigenvalue problems
-
P. G. Ciarlet & J. L. Lions eds, Amsterdam: North Holland, pp
-
BABUŠKA, I. & OSBORN, J. E. (1991) Eigenvalue problems. Handbook of Numerical Analysis (P. G. Ciarlet & J. L. Lions eds). Amsterdam: North Holland, pp. 641-788.
-
(1991)
Handbook of Numerical Analysis
, pp. 641-788
-
-
BABUŠKA, I.1
OSBORN, J.E.2
-
11
-
-
0001586521
-
Computing eigenvalues of singular Sturm-Liouville problems
-
BAILEY, P. B., EVERITT, W. N. & ZETTL, A. (1991) Computing eigenvalues of singular Sturm-Liouville problems. Results Math., 20, 391-423.
-
(1991)
Results Math
, vol.20
, pp. 391-423
-
-
BAILEY, P.B.1
EVERITT, W.N.2
ZETTL, A.3
-
12
-
-
84989854430
-
Functional-discrete method (FD-method) for matrix Sturm-Liouville problems
-
BANDYRSKIǏ, B. Ǐ., GAVRILYUK, I. P., LAZURCHAK, I. I. & MAKAROV, V. L. (2005) Functional-discrete method (FD-method) for matrix Sturm-Liouville problems. Comput. Methods Appl. Math., 5, 1-25.
-
(2005)
Comput. Methods Appl. Math
, vol.5
, pp. 1-25
-
-
BANDYRSKIǏ, B.I.1
GAVRILYUK, I.P.2
LAZURCHAK, I.I.3
MAKAROV, V.L.4
-
13
-
-
35348877920
-
Non-classical asymptotic expansions for eigenvalue problems with a parameter in the boundary conditions
-
BANDYRSKIǏ, B. Ǐ., GAVRILYUK, I. P., MAKAROV, V. L. & MAKAROV, I. L. (2002a) Non-classical asymptotic expansions for eigenvalue problems with a parameter in the boundary conditions. Appl. Math. Inf., 7, 35-77.
-
(2002)
Appl. Math. Inf
, vol.7
, pp. 35-77
-
-
BANDYRSKIǏ, B.I.1
GAVRILYUK, I.P.2
MAKAROV, V.L.3
MAKAROV, I.L.4
-
14
-
-
33746506132
-
A functional-discrete method for solving leftdefinite Sturm-Liouville problems with an eigenvalue parameter in the boundary conditions
-
BANDYRSKIǏ, B. Ǐ., LAZURCHAK, I. I. & MAKAROV, V. L. (2002b) A functional-discrete method for solving leftdefinite Sturm-Liouville problems with an eigenvalue parameter in the boundary conditions. Comput. Math. Math. Phys., 42, 646-659.
-
(2002)
Comput. Math. Math. Phys
, vol.42
, pp. 646-659
-
-
BANDYRSKIǏ, B.I.1
LAZURCHAK, I.I.2
MAKAROV, V.L.3
-
16
-
-
27144559690
-
Sufficient conditions for the convergence of non-classical asymptotic expansions for Sturm-Liouville problems with periodic conditions
-
BANDYRSKIǏ, B.Ǐ., MAKAROV, V. L. & UKHANEV, O. L. (1999) Sufficient conditions for the convergence of non-classical asymptotic expansions for Sturm-Liouville problems with periodic conditions. Differ. Equ., 35, 369-381.
-
(1999)
Differ. Equ
, vol.35
, pp. 369-381
-
-
BANDYRSKIǏ, B.I.1
MAKAROV, V.L.2
UKHANEV, O.L.3
-
18
-
-
0003133238
-
New method for constructing wavefunctions for bound states and scattering
-
GORDON, R. G. (1969) New method for constructing wavefunctions for bound states and scattering. J. Chem. Phys., 51, 14-25.
-
(1969)
J. Chem. Phys
, vol.51
, pp. 14-25
-
-
GORDON, R.G.1
-
19
-
-
0004300672
-
A Prüfer method for calculating eigenvalues of self-adjoint systems of ordinary differential equations: Parts 1 and 2
-
Technical Report TR91-24. College Park, MD: University of Maryland
-
GREENBERG, L. (1991) A Prüfer method for calculating eigenvalues of self-adjoint systems of ordinary differential equations: parts 1 and 2. Technical Report TR91-24. College Park, MD: University of Maryland.
-
(1991)
-
-
GREENBERG, L.1
-
20
-
-
0036058715
-
Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics
-
HEID, M., HEINZ, H.-P. & WETH, T. (2002) Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics. Math. Nachr., 242, 91-118.
-
(2002)
Math. Nachr
, vol.242
, pp. 91-118
-
-
HEID, M.1
HEINZ, H.-P.2
WETH, T.3
-
21
-
-
38249038767
-
Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems
-
HEINZ, H.-P. (1986) Nodal properties and variational characterizations of solutions to nonlinear Sturm-Liouville problems. J. Differ. Equ., 62, 299-333.
-
(1986)
J. Differ. Equ
, vol.62
, pp. 299-333
-
-
HEINZ, H.-P.1
-
22
-
-
0039120026
-
On the number of solutions of nonlinear Schrödinger equations and on unique continuation
-
HEINZ, H.-P. (1995) On the number of solutions of nonlinear Schrödinger equations and on unique continuation. J. Differ. Equ., 116, 149-171.
-
(1995)
J. Differ. Equ
, vol.116
, pp. 149-171
-
-
HEINZ, H.-P.1
-
23
-
-
29144466615
-
Solutions of semilinear eigenvalue problems with corresponding eigenvalues in spectral gaps
-
HEINZ, H.-P. (1996) Solutions of semilinear eigenvalue problems with corresponding eigenvalues in spectral gaps. Differ. Equ. Dyn. Syst., 4, 329-338.
-
(1996)
Differ. Equ. Dyn. Syst
, vol.4
, pp. 329-338
-
-
HEINZ, H.-P.1
-
24
-
-
37649029385
-
Adomian's decomposition method for eigenvalue problems
-
KAO, Y. M. & JIANG, T. F. (2005) Adomian's decomposition method for eigenvalue problems. Phys. Rev. E, 71, 1-7.
-
(2005)
Phys. Rev. E
, vol.71
, pp. 1-7
-
-
KAO, Y.M.1
JIANG, T.F.2
-
25
-
-
35348813114
-
Sopra il metodo del coefficient constati (metodo del tronconi) per l'integrazione approssimate delle equazioni differenziali delle Fisica Mathematica
-
KRYLOFF, N. & BOGOLIOUBOV, N. (1926) Sopra il metodo del coefficient constati (metodo del tronconi) per l'integrazione approssimate delle equazioni differenziali delle Fisica Mathematica. Boll Unione Mat. Ital., 7, 72-76.
-
(1926)
Boll Unione Mat. Ital
, vol.7
, pp. 72-76
-
-
KRYLOFF, N.1
BOGOLIOUBOV, N.2
-
26
-
-
0043158349
-
About functional-discrete method of arbitrary accuracy order for solving Sturm-Liouville problem with piecewise smooth coefficients
-
MAKAROV, V. L. (1991) About functional-discrete method of arbitrary accuracy order for solving Sturm-Liouville problem with piecewise smooth coefficients. Dokl. Akad. Nauk. SSSR, 320, 34-39.
-
(1991)
Dokl. Akad. Nauk. SSSR
, vol.320
, pp. 34-39
-
-
MAKAROV, V.L.1
-
27
-
-
34250331664
-
FD-method: The exponential rate of convergence
-
MAKAROV, V. L. (1997) FD-method: the exponential rate of convergence. J. Math. Sci., 104, 1648-1653.
-
(1997)
J. Math. Sci
, vol.104
, pp. 1648-1653
-
-
MAKAROV, V.L.1
-
28
-
-
35348881485
-
Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem
-
MAKAROV, V. L., ROSSOKHATA, N. O. & BANDYRSKIǏ, B. Ǐ. (2004) Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem. Comput. Methods Appl. Math., 4, 369-381.
-
(2004)
Comput. Methods Appl. Math
, vol.4
, pp. 369-381
-
-
MAKAROV, V.L.1
ROSSOKHATA, N.O.2
BANDYRSKIǏ, B.I.3
-
29
-
-
33746574001
-
FD-method for Sturm-Liouville problems. Exponential rate of convergence
-
MAKAROV, V. L. & UKHANEV, O. L. (1997) FD-method for Sturm-Liouville problems. Exponential rate of convergence. Appl. Math. Inf., 2, 1-19.
-
(1997)
Appl. Math. Inf
, vol.2
, pp. 1-19
-
-
MAKAROV, V.L.1
UKHANEV, O.L.2
-
30
-
-
0002523173
-
Automatic solution of Sturm-Liouville problems using the Pruess method
-
MARLETTA, M. & PRYCE, J. D. (1992) Automatic solution of Sturm-Liouville problems using the Pruess method. J. Comput. Appl. Math., 39, 57-78.
-
(1992)
J. Comput. Appl. Math
, vol.39
, pp. 57-78
-
-
MARLETTA, M.1
PRYCE, J.D.2
-
31
-
-
0000648581
-
Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
-
PLUM., M. (1990) Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method. Z Angew. Math. Phys., 41, 205-226.
-
(1990)
Z Angew. Math. Phys
, vol.41
, pp. 205-226
-
-
PLUM, M.1
-
32
-
-
0000726991
-
Bounds for eigenvalues of second-order elliptic differential operators
-
PLUM., M. (1991) Bounds for eigenvalues of second-order elliptic differential operators. Z. Angew. Math. Phys., 42, 848-863.
-
(1991)
Z. Angew. Math. Phys
, vol.42
, pp. 848-863
-
-
PLUM, M.1
-
33
-
-
0000065403
-
Guaranteed numerical bounds for eigenvalues
-
D. Hinton & P. Schaefer eds, New York: Marcel Dekker, pp
-
PLUM, M. (1997) Guaranteed numerical bounds for eigenvalues. Spectral Theory and Computational Methods of Sturm-Liouville Problems (D. Hinton & P. Schaefer eds). New York: Marcel Dekker, pp. 313-332.
-
(1997)
Spectral Theory and Computational Methods of Sturm-Liouville Problems
, pp. 313-332
-
-
PLUM, M.1
-
34
-
-
0002861080
-
Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation
-
PRUESS, S. (1973) Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation. SIAM J. Numer. Anal., 10, 55-68.
-
(1973)
SIAM J. Numer. Anal
, vol.10
, pp. 55-68
-
-
PRUESS, S.1
-
35
-
-
0027659554
-
Mathematical software for Sturm-Liouville problems
-
PRUESS, S. & FULTON, C. T. (1993) Mathematical software for Sturm-Liouville problems. ACM Trans. Math. Softw., 19, 360-376.
-
(1993)
ACM Trans. Math. Softw
, vol.19
, pp. 360-376
-
-
PRUESS, S.1
FULTON, C.T.2
-
37
-
-
38249011339
-
Asymptotic behavior of the variational eigenvalues for semilinear Sturm-Liouville problems
-
SHIBATA, T. (1992) Asymptotic behavior of the variational eigenvalues for semilinear Sturm-Liouville problems. Nonlinear Anal., 18, 929-935.
-
(1992)
Nonlinear Anal
, vol.18
, pp. 929-935
-
-
SHIBATA, T.1
-
38
-
-
21844526962
-
Spectral asymptotics for nonlinear Sturm-Liouville problems
-
SHIBATA, T. (1995) Spectral asymptotics for nonlinear Sturm-Liouville problems. Forum Math., 7, 207-224.
-
(1995)
Forum Math
, vol.7
, pp. 207-224
-
-
SHIBATA, T.1
-
39
-
-
0031482168
-
Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball
-
SHIBATA, T. (1997) Variational methods and spectral asymptotics of two parameter elliptic eigenvalue problems in a ball. Rocky Mt J. Math., 27, 343-358.
-
(1997)
Rocky Mt J. Math
, vol.27
, pp. 343-358
-
-
SHIBATA, T.1
-
40
-
-
0037052016
-
Precise spectral asymptotics for nonlinear Sturm-Liouville problems
-
SHIBATA, T. (2002a) Precise spectral asymptotics for nonlinear Sturm-Liouville problems. J. Differ. Equ., 180, 374-394.
-
(2002)
J. Differ. Equ
, vol.180
, pp. 374-394
-
-
SHIBATA, T.1
-
41
-
-
0347016091
-
Three-term spectral asymptotics for nonlinear Sturm-Liouville problems
-
SHIBATA, T. (2002b) Three-term spectral asymptotics for nonlinear Sturm-Liouville problems. Nonlinear Differ. Equ. Appl., 9, 239-254.
-
(2002)
Nonlinear Differ. Equ. Appl
, vol.9
, pp. 239-254
-
-
SHIBATA, T.1
-
43
-
-
0011517731
-
Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems
-
Available at
-
ZHIDKOV, P. E. (2000) Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems. Electron. J. Differ. Equ., 28, 1-13. Available at http://ejde.math.txstate.edu.
-
(2000)
Electron. J. Differ. Equ
, vol.28
, pp. 1-13
-
-
ZHIDKOV, P.E.1
|