Interval versions for special kinds of explicit linear multistep methods

DOI10.1016/j.rinam.2020.100104zbMath1453.65166OpenAlexW3019503546MaRDI QIDQ2211256

Malgorzata A. Jankowska, Andrzej Marciniak

Publication date: 10 November 2020

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2020.100104

zbMATH Keywords

initial value problemmultistep methodsfloating-point interval arithmeticexplicit interval multistep methods

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Uses Software

• NSDTST
• STDTST
• VNODE
• PASCAL-XSC

Cites Work

• On multistep interval methods for solving the initial value problem
• Computation and application of Taylor polynomials with interval remainder bounds
• Some recent advances in validated methods for IVPs for ODEs
• Validated solutions of initial value problems for ordinary differential equations
• Interval methods of Adams-Bashforth type with variable step sizes
• Implicit interval methods for solving the initial value problem
• On interval predictor-corrector methods
• Interval versions of Milne's multistep methods
• Using Interval Methods for the Numerical Solution of ODE's
• Two FORTRAN packages for assessing initial value methods
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