Stability of explicit time discretizations for solving initial value problems
DOI10.1007/BF01396187zbMath0457.65054OpenAlexW4250762279MaRDI QIDQ1151243
Olavi Nevanlinna, Rolf Jeltsch
Publication date: 1981
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132718
Runge-Kutta methodshyperbolic problemslinear multistep methodspredictor-corrector methodsparabolic problemsstability regionshigh order methodscyclic methodsexplicit time discretization methods
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reducibility and contractivity of Runge-Kutta methods revisited
- G-stability is equivalent toA-stability
- Convergence and stability in the numerical integration of ordinary differential equations
- Order stars and stability theorems
- Zero-Free Parabolic Regions for Sequences of Polynomials
- A Necessary Condition for A-Stability of Multistep Multiderivative Methods
- Multistep Methods Using Higher Derivatives and Damping at Infinity
- On the numerical integration of nonlinear initial value problems by linear multistep methods
- Largest disk of stability of explicit Runge-Kutta methods
- Contractive methods for stiff differential equations part I
- Finite Difference Forms Containing Derivatives of Higher Order
- A special stability problem for linear multistep methods
This page was built for publication: Stability of explicit time discretizations for solving initial value problems