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Finite Difference Methods for Elliptic PDEs

  • David F. GriffithsEmail author
  • John W. Dold
  • David J. Silvester
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

This self-contained chapter focuses on finite difference approximation of elliptic boundary value problems. A complete convergence theory is presented and two classical methods for improving the accuracy of computed solutions are described. Advanced topics include the extension to polar coordinates and a discussion of solution regularity when solving elliptic problems posed on nonconvex domains.

Keywords

Point Finite Difference Approximation Internal Grid Points Inverse Monotone Discontinuous Boundary Data Numerical Boundary Conditions 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • David F. Griffiths
    • 1
    Email author
  • John W. Dold
    • 2
  • David J. Silvester
    • 2
  1. 1.University of DundeeFifeUK
  2. 2.School of MathematicsThe University of ManchesterManchesterUK

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