Interval versions of Milne's multistep methods
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Publication:2413491
DOI10.1007/s11075-017-0429-3zbMath1425.65078OpenAlexW2765716407WikidataQ59610322 ScholiaQ59610322MaRDI QIDQ2413491
Malgorzata A. Jankowska, Andrzej Marciniak
Publication date: 14 September 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0429-3
initial value problemmultistep methodsfloating-point interval arithmeticinterval Milne's methodsMilne's methods
General methods in interval analysis (65G40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (2)
Interval methods of Adams-Bashforth type with variable step sizes ⋮ Interval versions for special kinds of explicit linear multistep methods
Uses Software
Cites Work
- On multistep interval methods for solving the initial value problem
- Automatic differentiation: techniques and applications
- 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
- Implicit interval methods for solving the initial value problem
- On interval predictor-corrector methods
- Using Interval Methods for the Numerical Solution of ODE's
- Logarithmic Reduction of the Wrapping Effect with Application to Ordinary Differential Equations
- Two FORTRAN packages for assessing initial value methods
- A heuristic to reduce the wrapping effect in the numerical solution ofx′=f(t,x)
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