High Order Difference Methods for Quasilinear Elliptic Boundary Value Problems on General Regions.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Stability and convergence for a difference method for quasilinear elliptic boundary value problems are proved. Asymptotic expansions of the discretization error, basic for Richardson extrapolation, are established. The general theory of discrete Newton methods and iterated defect corrections via neighboring problems and Pereyras deferred corrections are used to derive different high order methods. Some special cases and computational problems are pointed out and numerical tests are included. Author
- Numerical Mathematics