GEOMETRIC INTEGRATION BY SOLUTION INTERPOLATION.

Authors :: KIM, PILWON
Source :: International Journal of Modern Physics C: Computational Physics & Physical Computation. Feb2009, Vol. 20 Issue 2, p313-322. 10p. 5 Graphs.
Publication Year :: 2009
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. [ABSTRACT FROM AUTHOR]

Subjects :: *NUMERICAL analysis
*NUMERICAL solutions to nonlinear differential equations
*INTERPOLATION
*EXTREMAL problems (Mathematics)
*INTEGRAL calculus

Language :: English
ISSN :: 01291831
Volume :: 20
Issue :: 2
Database :: Academic Search Index
Journal :: International Journal of Modern Physics C: Computational Physics & Physical Computation
Publication Type :: Academic Journal
Accession number :: 36849573
Full Text :: https://doi.org/10.1142/S0129183109013637