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Geometric Integration By Solution Interpolation

Author

Listed:
  • PILWON KIM

    (Department of Mathematics, Ohio State University, Ohio, USA)

Abstract

Numerical schemes that are implemented by interpolation of exact solutions to a differential equation naturally preserve geometric properties of the differential equation. The solution interpolation method can be used for development of a new class of geometric integrators, which generally show better performances than standard method both quantitatively and qualitatively. Several examples including a linear convection equation and a nonlinear heat equation are included.

Suggested Citation

  • Pilwon Kim, 2009. "Geometric Integration By Solution Interpolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 313-322.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:02:n:s0129183109013637
    DOI: 10.1142/S0129183109013637
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