Iteration method for the solution of weakly linear difference equations (Q1068529)
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: Iteration method for the solution of weakly linear difference equations |
scientific article; zbMATH DE number 3932341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iteration method for the solution of weakly linear difference equations |
scientific article; zbMATH DE number 3932341 |
Statements
Iteration method for the solution of weakly linear difference equations (English)
0 references
1984
0 references
Für die Randwertaufgabe \(-\Delta u=f(u)\) mit Dirichlet-Randbedingungen in einem Rechteck werden Konvergenzaussagen für explizite \((B=I)\) und implizite Differenzenverfahren der Form \((1)\quad B(u_{k+1}-u_ k)/\tau +Fu_ k=0\) bewiesen; dabei liegen (1) Diskretisierungen der Genauigkeit \(O(h^ 4)\) zugrunde.
0 references
two-layer iteration methods
0 references
Poisson equation
0 references
weakly linear
0 references
convergence
0 references
