Finite Difference Methods for Elliptic PDEs

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


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.


Point Finite Difference Approximation Internal Grid Points Inverse Monotone Discontinuous Boundary Data Numerical Boundary Conditions 
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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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