Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems (Q2706461)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems |
scientific article |
Statements
19 March 2001
0 references
deferred correction
0 references
mono-implicit Runge-Kutta formula
0 references
superconvergence
0 references
stability
0 references
two-point boundary value problems
0 references
Superconvergent deferred correction methods for first order systems of nonlinear two-point boundary value problems (English)
0 references
This paper concerns the numerical solution of the first-order system of nonlinear two-point boundary value problems NEWLINE\[NEWLINE{dy\over dx}= f(x,y),\quad a\leq x\leq b,\quad g(y(a), y(b))= 0.NEWLINE\]NEWLINE Mono-implicit Runge-Kutta methods are presented where an increase of four-orders of accuracy is obtained for each deferred correction.
0 references
