A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods

DOI10.1016/j.amc.2014.03.065zbMath1338.68293OpenAlexW2019031017MaRDI QIDQ299430

A. M. Nagy, Francesca Mazzia

Publication date: 22 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.065

zbMATH Keywords

initial value problemsconditioningRunge-Kutta methodsstiffnessmesh selectionODE problems

Mathematics Subject Classification ID

Approximation algorithms (68W25)

Related Items (6)

Adaptive mesh selection asymptotically guarantees a prescribed local error for systems of initial value problems ⋮ Asymptotically tight worst case complexity bounds for initial-value problems with nonadaptive information ⋮ An adaptive optimized Nyström method for second‐order IVPs ⋮ A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic ⋮ Adaptive mesh point selection for the efficient solution of scalar IVPs ⋮ Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems

Uses Software

• Matlab
• RODAS
• deTestSet
• BvpSolve
• bvptwp.m
• twpbvp
• twpbvpl
• acdc
• diffEq

Cites Work

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