The Exact Order of Convergence for Finite Difference Approximations to Ordinary Boundary Value Problems
From MaRDI portal
Publication:3886771
DOI10.2307/2006456zbMath0443.65056OpenAlexW4234137948MaRDI QIDQ3886771
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/2006456
stabilityconsistencynumerical examplesfinite difference methodsorder of convergencesystem of ordinary boundary value problems
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items
Einige Stabilitätsungleichungen für gewöhnliche Differenzengleichungen in nichtkompakter Form. (Some stability inequalities for ordinary difference equations in noncompact form) ⋮ Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation ⋮ Chord techniques and Newton's method for discrete bifurcation problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Zur Inversmonotonie diskreter Probleme
- Stabilitätsungleichungen für Diskretisierungen von Randwertaufgaben gewöhnlicher Differentialgleichungen
- Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben
- On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
- Elliptic difference equations and interior regularity
- Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen
- Discrete maximum principle for finite-difference operators
- New Monotone Type Approximations for Elliptic Problems
- On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
- Monotone and Oscillation Matrices Applied to Finite Difference Approximations
- Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations