The numerical solution of large systems of stiff IVPs for ODEs
From MaRDI portal
Publication:1917439
DOI10.1016/0168-9274(95)00114-XzbMath0852.65057MaRDI QIDQ1917439
Publication date: 5 December 1996
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multiple scale methods for ordinary differential equations (34E13)
Related Items
Convergence behaviour of inexact Newton methods, A quantitative comparison of numerical method for solving stiff ordinary differential equations, The convergence analysis of inexact Gauss-Newton methods for nonlinear problems, A new semi-local convergence theorem for the inexact Newton methods, A numerical algorithm for solving stiff ordinary differential equations, A convergence theorem for the inexact Newton methods based on Hölder continuous Fréchet derivative, Convergence behaviour of inexact Newton methods under weak Lipschitz condition., Runge-Kutta research at Toronto
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Embedded SDIRK-methods of basic order three
- Convergence properties of the Runge-Kutta-Chebyshev method
- Reduced storage matrix methods in stiff ODE systems
- Adaptive Linear Equation Solvers in Codes for Large Stiff Systems of ODEs
- Predictor-corrector Methods with Improved Absolute Stability Regions
- Iterative Solution of Linear Equations in ODE Codes
- Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
- The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVP<scp>s</scp> for ODE<scp>s</scp>
- Analysis of the Enright-Kamel Partitioning Method for Stiff Ordinary Differential Equations
- VODE: A Variable-Coefficient ODE Solver
- Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
- An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs
- An implementation of singly-implicit Runge-Kutta methods
- A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
- On the implementation of implicit Runge-Kutta methods
- Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
- The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
- Software distribution using Xnetlib
- Matrix-Free Methods for Stiff Systems of ODE’s
- A Survey of Higher-order Methods for the Numerical Integration of Semidiscrete Parabolic Problems
- The automatic integration of ordinary differential equations
