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This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The constructio
Finite Difference Schemes and Partial Differential Equations
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Authors: John C. Strikwerda
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Analysis of Finite Difference Schemes
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This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential
Numerical Partial Differential Equations: Finite Difference Methods
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What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider
Finite Difference Methods for Ordinary and Partial Differential Equations
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Authors: Randall J. LeVeque
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This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the simil