On the structure of error estimates for finite-difference methods
DOI10.1007/BF01398460zbMath0211.18802OpenAlexW2055496521MaRDI QIDQ5921142
Publication date: 1971
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132093
Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (3)
Cites Work
- Numerical methods and existence theorems for ordinary differential equations
- Zur numerischen Behandlung von Anfangswertproblemen partieller hyperbolischer Differentialgleichungen zweiter Ordnung in zwei unabhängigen Veränderlichen. I: Das charakteristische Anfangswertproblem. II: Das Cauchy-Problem
- Convergence and stability of step-by-step methods for the numerical solution of initial-value problems
- General multistep finite difference methods for the solution of \(u_{xy} = f(x,y,u,u_ x,u_ y)\)
- Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
- Instability and non-monotonicity phenomena in discretizations to boundary value problems
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