Implicit interval methods for solving the initial value problem

DOI10.1023/B:NUMA.0000049471.81341.60zbMath1074.65084MaRDI QIDQ2387770

Andrzej Marciniak

Publication date: 5 September 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

initial value problemRunge-Kutta methodsinterval methodsfloating-point interval arithmeticmultistep Adams methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) General methods in interval analysis (65G40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

On multistep interval methods for solving the initial value problem ⋮ On interval predictor-corrector methods ⋮ Interval versions of Milne's multistep methods ⋮ Interval versions for special kinds of explicit linear multistep methods ⋮ Validated computation of the local truncation error of Runge–Kutta methods with automatic differentiation

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