Using waveform relaxation methods to approximate neutral stochastic functional differential equation systems
type: Item
instance of: scholarly article
title: Using waveform relaxation methods to approximate neutral stochastic functional differential equation systems
zbMATH Open document ID: 1410.65008
author: Zhencheng Fan
published in: Applied Mathematics and Computation
publication date: 2018-08-21T00:00:00Z
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 60H35
zbMATH DE Number: 6921654
zbMATH Keywords: waveform relaxation methods
zbMATH Keywords: superlinear convergence
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: neutral stochastic functional differential equations
zbMATH Keywords: mean square convergence
Wikidata QID: Q115361349
MaRDI profile type: Publication
full work available at URL: j.amc.2015.04.038
OpenAlex ID: W345672321
cites work: On the convergence of iterative methods for general differential-algebraic systems
cites work: Introduction to the numerical analysis of stochastic delay differential equations
cites work: Convergence results for continuous-time waveform methods for Volterra integral equations
cites work: Discrete time waveform relaxation method for stochastic delay differential equations
cites work: Waveform relaxation method for stochastic differential equations with constant delay
cites work: Existence and uniqueness of the solutions and convergence of semi-implicit Euler methods for stochastic pantograph equations
cites work: Q3764976
cites work: An analysis of convergence for two-stage waveform relaxation methods
cites work: On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations
cites work: On SOR Waveform Relaxation Methods
cites work: Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
cites work: Waveform relaxation methods for functional differential systems of neutral type
cites work: A General Approach to Waveform Relaxation Solutions of Nonlinear Differential-Algebraic Equations: The Continuous-Time and Discrete-Time Cases
cites work: Higher-order implicit strong numerical schemes for stochastic differential equations
cites work: Q4002473
cites work: Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation
cites work: Q4369402
cites work: Numerical Solutions of Stochastic Functional Differential Equations
cites work: Q3707054
cites work: Remarks on Picard-Lindelöf iteration
cites work: On the Convergence of Two-Stage Iterative Processes for Solving Linear Equations
cites work: A Jacobi Waveform Relaxation Method for ODEs
cites work: Q5479956
cites work: Convergence analysis of two-stage waveform relaxation method for the initial value problems
cites work: Convergence of waveform relaxation methods for neutral delay differential equations
cites work: Numerical Solutions of Neutral Stochastic Functional Differential Equations
cites work: Convergence analysis of waveform relaxation methods for neutral differential-functional systems
cites work: Convergence of waveform relaxation methods for Hermitian positive definite linear systems
cites work: Waveform Relaxation for Functional-Differential Equations
DOI: 10.1016/J.AMC.2015.04.038
description: scientific article; zbMATH DE number 6921654