Mixed problems for separated variable coefficient wave equations: analytic–numerical solutions with a priori error bounds

Journal of Computational and Applied Mathematics - Tập 134 Số 1-2 - Trang 301-323 - 2001
Pedro Almenar1, L. Jódar2
1Departamento de I+D, Airtel Móvil, S.A., P. E. La Moraleja, 28108 Alcobendas (Madrid), Spain
2Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, PO Box. 22012, 46071 Valencia, Spain

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Tài liệu tham khảo

Anderssen, 1984, On the correction of finite difference eigenvalue approximations for Sturm–Liouville problems with general boundary conditions, BIT, 24, 401, 10.1007/BF01934900

Andrew, 1985, Correction of Numerov's eigenvalues estimates, Numer. Math., 47, 289, 10.1007/BF01389712

Andrew, 1986, Correction of finite element estimates for Sturm–Liouville eigenvalues, Numer. Math., 50, 215, 10.1007/BF01390430

Apostol, 1957

Bland, 1988

Canosa, 1970, A new method for the solution of the Schroedinger equation, J. Comput. Phys., 5, 188, 10.1016/0021-9991(70)90059-8

Flett, 1980

Folland, 1992

Golub, 1989

Gustafsson, 1995

Henrici, 1962

Hille, 1969

Jódar, 1996, Accurate continuous numerical solutions of time dependent mixed partial differential problems, Comput. Maths. Appl., 32, 5, 10.1016/0898-1221(96)00099-5

Marcuse, 1991

M. Marletta, Theory and Implementation of Algorithms for Sturm–Liouville Computations, Ph.D. Thesis, Royal Military College of Science, Cranfield, 1991.

Marletta, 1992, Automatic solution of Sturm–Liouville problems using the Pruess method, J. Comput. Appl. Math., 39, 57, 10.1016/0377-0427(92)90222-J

Metaxas, 1983

V.P. Mijailov, Ecuaciones en Derivadas Parciales, E. Mir, Moscú, 1978 (in Spanish).

Pozar, 1990

Sagan, 1989