Difference schemes of optimum degree of implicitness for a family of simple ODEs with blow-up solutions

DOI10.1016/S0377-0427(98)00107-1zbMath0933.65088MaRDI QIDQ1298634

Rita Meyer-Spasche

Publication date: 22 August 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Given a one-step numerical scheme, on which ordinary differential equations is it exact? ⋮ Non-monotonic blow-up problems: test problems with solutions in elementary functions, numerical integration based on non-local transformations ⋮ Exact finite-difference methods based on nonlinear means ⋮ Euler-like discrete models of the logistic differential equation ⋮ Contributions to the development of differential systems exactly solved by multistep finite-difference schemes ⋮ Linearly implicit generalized trapezoidal formulas for nonlinear differential equations ⋮ Nonlinear problems with blow-up solutions: numerical integration based on differential and nonlocal transformations, and differential constraints

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