Remarks on Picard-Lindelöf iteration. II
From MaRDI portal
Publication:911707
DOI10.1007/BF02219239zbMath0697.65057OpenAlexW2414547273MaRDI QIDQ911707
Publication date: 1989
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02219239
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items (34)
An analysis of convergence for two-stage waveform relaxation methods ⋮ The waveform relaxation method for systems of differential/algebraic equations ⋮ Implementing an ODE code on distributed memory computers ⋮ On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations ⋮ Preconditioning waveform relaxation iterations for differential systems ⋮ Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis ⋮ Optimization of Schwarz waveform relaxation over short time windows ⋮ Chaotic waveform relaxation methods for dynamical systems ⋮ Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator ⋮ Pseudospectra of wave from relaxation operators ⋮ Existence theory and numerical simulation of HIV-I cure model with new fractional derivative possessing a non-singular kernel ⋮ Quasinilpotency of the operators in picard-lindelöf iteration ⋮ Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations. II ⋮ Waveform relaxation as a dynamical system ⋮ Schwarz Waveform Relaxation with Adaptive Pipelining ⋮ Circulant preconditioned WR-BVM methods for ODE systems. ⋮ Preconditioned WR-LMF-based method for ODE systems. ⋮ Metodi waveform relaxation per la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie ⋮ A mathematical analysis of optimized waveform relaxation for a small RC circuit ⋮ Newton waveform relaxation method for solving algebraic nonlinear equations ⋮ Waveform relaxation methods for functional differential systems of neutral type ⋮ Convergence analysis of waveform relaxation methods for neutral differential-functional systems ⋮ Convergence and comparisons of waveform relaxation methods for initial value problems of linear ODE systems ⋮ Parallel methods for initial value problems ⋮ The use of Runge-Kutta formulae in waveform relaxation methods ⋮ Rapid convergence of waveform relaxation ⋮ Time-point relaxation Runge-Kutta methods for ordinary differential equations ⋮ Alternating splitting waveform relaxation method and its successive overrelaxation acceleration ⋮ Remarks on evaluation of spectral radius of operators arising in WR methods for linear systems of ODEs ⋮ Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels ⋮ Quadrature methods for highly oscillatory linear and nonlinear systems of ordinary differential equations. I ⋮ Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods ⋮ Convergence analysis of a \textit{periodic-like} waveform relaxation method for initial-value problems via the diagonalization technique ⋮ On resolvent conditions and stability estimates
Cites Work
- Unnamed Item
- Unnamed Item
- Multi-grid dynamic iteration for parabolic equations
- Sets of convergence and stability regions
- Dynamic iteration methods applied to linear DAE systems
- On the resolvent condition in the Kreiss matrix theorem
- Convergence of Dynamic Iteration Methods for Initial Value Problems
- G-stability is equivalent toA-stability
- Asynchronous Relaxations for the Numerical Solution of Differential Equations by Parallel Processors
- Remarks on the convergence of waveform relaxation method
This page was built for publication: Remarks on Picard-Lindelöf iteration. II
