Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.

Stanley Osher

doi:10.2307/2004427

Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.

Mathematics of Computation ◽

10.2307/2004427 ◽

1969 ◽

Vol 23 (106) ◽

pp. 335 ◽

Cited By ~ 2

Author(s):

Stanley Osher

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. I

Mathematics of Computation ◽

10.1090/s0025-5718-1978-0501998-x ◽

1978 ◽

Vol 32 (144) ◽

pp. 1097-1097 ◽

Cited By ~ 22

Author(s):

Moshe Goldberg ◽

Eitan Tadmor

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Stability Criteria ◽

Difference Approximations ◽

Initial Boundary Value

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The semigroup stability of the difference approximations for initial-boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1995-1257582-6 ◽

1995 ◽

Vol 64 (209) ◽

pp. 71-71 ◽

Cited By ~ 1

Author(s):

Lixin Wu

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

The Difference ◽

Initial Boundary Value ◽

Semigroup Stability

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Dispersion and Gibbs phenomenon associated with difference approximations to initial boundary-value problems for hyperbolic equations

Journal of Computational Physics ◽

10.1016/0021-9991(75)90001-7 ◽

1975 ◽

Vol 18 (3) ◽

pp. 233-247 ◽

Cited By ~ 30

Author(s):

Raymond C.Y. Chin

Keyword(s):

Boundary Value Problems ◽

Hyperbolic Equations ◽

Boundary Value ◽

Gibbs Phenomenon ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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The convergence rate for difference approximations to mixed initial boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1975-0386296-7 ◽

1975 ◽

Vol 29 (130) ◽

pp. 396-396 ◽

Cited By ~ 227

Author(s):

Bertil Gustafsson

Keyword(s):

Convergence Rate ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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On the order of accuracy for difference approximations of initial-boundary value problems

Journal of Computational Physics ◽

10.1016/j.jcp.2006.02.014 ◽

2006 ◽

Vol 218 (1) ◽

pp. 333-352 ◽

Cited By ~ 124

Author(s):

Magnus Svärd ◽

Jan Nordström

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Order Of Accuracy ◽

Difference Approximations ◽

Initial Boundary Value

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Stability theory of difference approximations for multidimensional initial-boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1983-0679433-2 ◽

1983 ◽

Vol 40 (161) ◽

pp. 1-1 ◽

Cited By ~ 24

Author(s):

Daniel Michelson

Keyword(s):

Boundary Value Problems ◽

Stability Theory ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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Simple Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_18 ◽

1989 ◽

pp. 179-185 ◽

Cited By ~ 2

Author(s):

Moshe Goldberg ◽

Eitan Tadmor

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Stability Criteria ◽

Difference Approximations ◽

Initial Boundary Value

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Stability theory of difference approximations for mixed initial boundary value problems. II

Mathematics of Computation ◽

10.1090/s0025-5718-1972-0341888-3 ◽

1972 ◽

Vol 26 (119) ◽

pp. 649-649 ◽

Cited By ~ 317

Author(s):

Bertil Gustafsson ◽

Heinz-Otto Kreiss ◽

Arne Sundstr{öm

Keyword(s):

Boundary Value Problems ◽

Stability Theory ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0606519-9 ◽

1981 ◽

Vol 36 (154) ◽

pp. 603-603 ◽

Cited By ~ 31

Author(s):

Moshe Goldberg ◽

Eitan Tadmor

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Stability Criteria ◽

Difference Approximations ◽

Initial Boundary Value

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Stability theory for difference approximations of mixed initial boundary value problems. I

Mathematics of Computation ◽

10.1090/s0025-5718-1968-0241010-7 ◽

1968 ◽

Vol 22 (104) ◽

pp. 703-703 ◽

Cited By ~ 96

Author(s):

Heinz-Otto Kreiss

Keyword(s):

Boundary Value Problems ◽

Stability Theory ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Approximations ◽

Initial Boundary Value

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