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

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 ◽

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 ◽

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 ◽

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 ◽

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 ◽

Compact Finite Difference ◽

Compact Finite Difference Schemes ◽

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 ◽

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 ◽

Initial Boundary Value ◽

Semigroup Stability

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 ◽

Irregular Domains ◽

Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.1966.1138693 ◽

1966 ◽

Vol 14 (3) ◽

pp. 302-307 ◽

Cited By ~ 6519

Author(s):

Kane Yee

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Boundary Value ◽

Initial Boundary ◽

Isotropic Media ◽

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 ◽

Difference Methods ◽