Fifty Years of Stiffness

DOI10.1007/978-90-481-9981-5_1zbMath1216.65083arXiv0910.3780OpenAlexW1509501876MaRDI QIDQ3002459

Luigi Brugnano, Donato Trigiante, Francesca Mazzia

Publication date: 20 May 2011

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

Full work available at URL: https://arxiv.org/abs/0910.3780

zbMATH Keywords

singular perturbationboundary value problemsinitial value problemsstiffnessboundary value methodsODE problemsdiscrete problems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical methods for stiff equations (65L04) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (11)

A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods ⋮ On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic ⋮ A family of boundary value methods for systems of second-order boundary value problems ⋮ Troesch's problem: a B-spline collocation approach ⋮ A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework ⋮ A note on the efficient implementation of Hamiltonian BVMs ⋮ An accurate block solver for stiff initial value problems ⋮ Hybrid semantics for Bio-PEPA ⋮ On the linear stability of some finite difference schemes for nonlinear reaction-diffusion models of chemical reaction networks ⋮ An efficient approach for solving stiff nonlinear boundary value problems ⋮ Stiffness 1952--2012: sixty years in search of a definition

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