Metodi waveform relaxation per la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie
DOI10.1007/BF02925190zbMath0861.65057OpenAlexW278604972MaRDI QIDQ4883116
Publication date: 29 April 1997
Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02925190
stabilitybibliographyparallel computationwaveform relaxation methodsPicard-Lindelöf iterationGauss-Jacobi iterationvery large systems of ordinary differential equations
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Cites Work
- Unnamed Item
- Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation
- The use of Runge-Kutta formulae in waveform relaxation methods
- Time-point relaxation Runge-Kutta methods for ordinary differential equations
- Multirate linear multistep methods
- Remarks on Picard-Lindelöf iteration. II
- Linear acceleration of Picard-Lindelöf iteration
- Sets of convergence and stability regions
- Stability of numerical methods for delay differential equations
- Remarks on Picard-Lindelöf iteration
- Contractivity of Runge-Kutta methods
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Maximum norm contractivity of discretization schemes for the heat equation
- Contractivity of Runge-Kutta methods with respect to forcing terms
- Note on explicit parallel multistep Runge-Kutta methods
- Contractivity in the numerical solution of initial value problems
- Convergence of Dynamic Iteration Methods for Initial Value Problems
- On the Theory of Parallel Runge—Kutta Methods
- Iterated Runge–Kutta Methods on Parallel Computers
- Natural Continuous Extensions of Runge-Kutta Methods
- Remarks on the convergence of waveform relaxation method
- Embedded Diagonally Implicit Runge-Kutta Algorithms on Parallel Computers
- Block Runge-Kutta Methods on Parallel Computers
- Waveform Iteration and the Shifted Picard Splitting
- Contractivity of Waveform Relaxation Runge–Kutta Iterations and Related Limit Methods for Dissipative Systems in the Maximum Norm
This page was built for publication: Metodi waveform relaxation per la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie