Schwandt, Hartmut Schnelle fast global konvergente Verfahren für die Fünf-Punkt- Diskretisierung der Poissongleichung mit Dirichletschen Randbedingungen auf Rechteckgebieten. (German) Zbl 0474.65037 Fachbereich Mathematik der Technischen Universität Berlin. 230 S. (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 65H10 Numerical computation of solutions to systems of equations 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 65G30 Interval and finite arithmetic 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35J65 Nonlinear boundary value problems for linear elliptic equations Keywords:nonlinear Poisson equation; Newton methods; monotonously including sequences; nonlinear block overrelaxation; interval arithmetic Citations:Zbl 0276.65027 PDF BibTeX XML OpenURL