Stiffness 1952--2012: sixty years in search of a definition
DOI10.1007/s10543-014-0503-3zbMath1317.65154OpenAlexW2111917268MaRDI QIDQ2350726
Laurent O. Jay, Gustaf Söderlind, Manuel Calvo
Publication date: 25 June 2015
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-014-0503-3
stabilitynumerical exampleinitial value problemsresearch surveystiffnessstep sizelogarithmic normsstiffness factorreference time scalestiffness indicatorvan der Pol and Oregonator equation
Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)
Related Items (10)
Uses Software
Cites Work
- Stiffness of ODEs
- Stiff ODE solvers: A review of current and coming attractions
- Stiffness in numerical initial-value problems
- The logarithmic norm. History and modern theory
- Fifty Years of Stiffness
- Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations
- Digital filters in adaptive time-stepping
- Integration of Stiff Equations
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