Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems

DOI10.1007/BF02189843zbMath0417.34025OpenAlexW1986898014MaRDI QIDQ755014

Erich Bohl, Jens Lorenz

Publication date: 1979

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136805

zbMATH Keywords

stabilityconvergencefinite difference schemestwo-point boundary value problemsinverse monotonicity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Numerical analysis in abstract spaces (65J99)

Related Items (8)

Uniform fourth order difference scheme for a singular perturbation problem ⋮ On the bifurcation diagram of discrete analogues for ordinary bifurcation problems ⋮ Chord techniques and Newton's method for discrete bifurcation problems ⋮ Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems ⋮ On a numerical method for discrete analogues of boundary value problems ⋮ Toeplitz matrices with totally nonnegative inverses ⋮ On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method ⋮ On the extrapolation for a singularly perturbed boundary value problem

Cites Work

• Lineare Operatoren mit positiver Inversen
• Zur Inversmonotonie diskreter Probleme
• On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
• On shooting methods for two-point boundary value problems
• Discrete maximum principle for finite-difference operators
• On a Stability Inequality for Nonlinear Operators
• P-Boundedness of Inverses of Nonlinear Operators
• Generalized Local Maximum Principles 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems