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Fitted Numerical Methods for Singular Perturbation Problems

J. J. H. Miller, E. O'Riordan, and G. I. Shishkin
Publisher: 
World Scientific
Publication Date: 
2012
Number of Pages: 
176
Format: 
Hardcover
Price: 
68.00
ISBN: 
9789814390736
Category: 
Monograph
We do not plan to review this book.
  • Motivation for the Study of Singular Perturbation Problems
  • Simple Examples of Singular Perturbation Problems
  • Numerical Methods for Singular Perturbation Problems
  • Simple Fitted Operator Methods in One Dimension
  • Simple Fitted Mesh Methods in One Dimension
  • Convergence of Fitted Mesh Difference Methods for Linear Reaction-Diffusion Problems in One Dimension
  • Properties of Upwind Finite Difference Operators on Piecewise Uniform Fitted Meshes
  • Convergence of Fitted Mesh Finite Difference Methods for Linear Convection-Diffusion Problems in One Dimension
  • Fitted Mesh Finite Element Methods for Linear Convection-Diffusion Problems in One Dimension
  • Convergence of Schwarz Iterative Methods for Fitted Mesh Methods in One Dimension
  • Linear Convection-Diffusion Problems in Two Dimensions and Their Numerical Solution
  • Bounds on the Derivatives of Solutions of Linear Convection-Diffusion Problems in Two Dimensions with Regular Boundary Layers
  • Convergence of Fitted Mesh Finite Difference Methods for Linear Convection-Diffusion Problems in Two Dimensions with Regular Boundary Layers
  • Limitations of Fitted Operators Methods on Uniform Rectangular Meshes for Problems with Parabolic Boundary Layers
  • Fitted Numerical Methods for Problems with Initial and Parabolic Boundary Layers

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