Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems

Jean-François Coulombel; Antoine Gloria

doi:10.1090/s0025-5718-10-02368-9

Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-10-02368-9 ◽

2010 ◽

Vol 80 (273) ◽

pp. 165-203 ◽

Cited By ~ 3

Author(s):

Jean-François Coulombel ◽

Antoine Gloria

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Semigroup Stability

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Stability of finite difference schemes for hyperbolic initial boundary value problems II

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2011.1.03 ◽

2011 ◽

pp. 37-98

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0014 ◽

2012 ◽

pp. 184-195

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/080728342 ◽

2009 ◽

Vol 47 (4) ◽

pp. 2844-2871 ◽

Cited By ~ 2

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the Sharpness of Error Bounds for the Numerical Solution of Initial Boundary Value Problems by Finite Difference Schemes

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/678 ◽

1995 ◽

Vol 14 (2) ◽

pp. 347-367 ◽

Cited By ~ 1

Author(s):

H. Esser ◽

St. J. Goebbels ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Error Analysis of Finite Difference Schemes Applied to Hyperbolic Initial Boundary Value Problems

Mathematics of Computation ◽

10.2307/2006025 ◽

1979 ◽

Vol 33 (145) ◽

pp. 11 ◽

Cited By ~ 4

Author(s):

Gunilla Skollermo

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0719049 ◽

1982 ◽

Vol 19 (4) ◽

pp. 698-720 ◽

Cited By ~ 8

Author(s):

Richard B. Philips ◽

Milton E. Rose

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Compact Finite Difference ◽

Compact Finite Difference Schemes ◽

Initial Boundary Value

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Error analysis of finite difference schemes applied to hyperbolic initial-boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0514808-2 ◽

1979 ◽

Vol 33 (145) ◽

pp. 11-35

Author(s):

Gunilla Sköllermo

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

Journal of Scientific Computing ◽

10.1007/s10915-009-9277-1 ◽

2009 ◽

Vol 39 (3) ◽

pp. 394-440 ◽

Cited By ~ 4

Author(s):

Adi Ditkowski ◽

Yuval Harness

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

High Order ◽

Time Dependent ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Irregular Domains ◽

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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Stable second-order finite-difference methods for linear initial-boundary-value problems

Applied Mathematics Letters ◽

10.1016/j.aml.2005.04.003 ◽

2006 ◽

Vol 19 (2) ◽

pp. 146-154 ◽

Cited By ~ 7

Author(s):

K. George ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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