On the stability of certain finite difference approximations to parabolic systems of differential equations

D. G. Aronson

doi:10.1007/bf01385884

On the stability of certain finite difference approximations to parabolic systems of differential equations

Numerische Mathematik ◽

10.1007/bf01385884 ◽

1963 ◽

Vol 5 (1) ◽

pp. 118-137 ◽

Cited By ~ 11

Author(s):

D. G. Aronson

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Parabolic Systems ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Systems Of Differential Equations ◽

The Stability

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Some results on the stability and dynamics of finite difference approximations to nonlinear partial differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690090203 ◽

1993 ◽

Vol 9 (2) ◽

pp. 117-133 ◽

Cited By ~ 1

Author(s):

S. Roy Choudhury

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations ◽

The Stability

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A note on the stability and accuracy of finite difference approximations to differential equations

10.2172/420369 ◽

1996 ◽

Cited By ~ 1

Author(s):

L.D. Cloutman

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Finite Difference Approximations ◽

Difference Approximations ◽

The Stability ◽

Stability And Accuracy

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Use of Finite Difference Approximations to Partial Differential Equations for Problems Having Boundaries at Infinity (Correspondence)

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.1971.1127551 ◽

1971 ◽

Vol 19 (5) ◽

pp. 484-486 ◽

Cited By ~ 15

Author(s):

F. Sandy ◽

J. Sage

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations

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Introduction to finite difference approximations to initial value problems for partial differential equations

Symposium on the Theory of Numerical Analysis - Lecture Notes in Mathematics ◽

10.1007/bfb0060345 ◽

1971 ◽

pp. 111-152

Author(s):

Olof Widlund

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations

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Probability limit theorems and the convergence of finite difference approximations of partial differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(70)90319-7 ◽

1970 ◽

Vol 32 (1) ◽

pp. 77-103 ◽

Cited By ~ 12

Author(s):

Harold J Kushner

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Limit Theorems ◽

Partial Differential ◽

Probability Limit ◽

Finite Difference Approximations ◽

Difference Approximations

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Accurate finite difference approximations for the solution of parabolic partial differential equations by semi-discretization

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620231213 ◽

1986 ◽

Vol 23 (12) ◽

pp. 2325-2346 ◽

Cited By ~ 7

Author(s):

E. Huntley

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations

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Rate of convergence of finite difference approximations for degenerate ordinary differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01876-x ◽

2006 ◽

Vol 75 (256) ◽

pp. 1755-1778 ◽

Cited By ~ 5

Author(s):

Jianfeng Zhang

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Rate Of Convergence ◽

Finite Difference Approximations ◽

Difference Approximations

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Continuous finite difference approximations for solving differential equations

International Journal of Computer Mathematics ◽

10.1080/00207169908804831 ◽

1999 ◽

Vol 72 (1) ◽

pp. 15-27 ◽

Cited By ~ 21

Author(s):

P. Onumanyi ◽

U.W. Sirisena ◽

S.N. Jator

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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Stability criteria for finite difference approximations to parabolic systems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00119-1 ◽

2000 ◽

Vol 33 (1-4) ◽

pp. 509-515 ◽

Cited By ~ 4

Author(s):

Moshe Goldberg

Keyword(s):

Finite Difference ◽

Parabolic Systems ◽

Stability Criteria ◽

Finite Difference Approximations ◽

Difference Approximations

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Direct methods for the solution of finite-difference approximations to separable partial differential equations

The Computer Journal ◽

10.1093/comjnl/8.2.150 ◽

1965 ◽

Vol 8 (2) ◽

pp. 150-156 ◽

Cited By ~ 4

Author(s):

M. R. Osborne

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Direct Methods ◽

Partial Differential ◽

Finite Difference Approximations ◽

Difference Approximations

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