An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations
type: Item
instance of: scholarly article
title: An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations
zbMATH Open document ID: 1398.65190
author: Tingting Meng
author: Li-Jun Yi
published in: Journal of Scientific Computing
publication date: 2018-04-12T00:00:00Z
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 6858885
zbMATH Keywords: nonlinear delay differential equations
zbMATH Keywords: \(h\)-\(p\) version
zbMATH Keywords: continuous Petrov-Galerkin method
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: s10915-017-0482-z
OpenAlex ID: W2744615916
cites work: Q3785142
cites work: Q4073917
cites work: Q3572296
cites work: Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
cites work: Local superconvergence of continuous Galerkin solutions for delay differential equations of pantograph type
cites work: One-step collocation for delay differential equations
cites work: Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method
cites work: Numerical Methods for Delay Differential Equations
cites work: Finite Elements
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
cites work: hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
cites work: The Galerkin continuous finite element method for delay-differential equation with a variable term
cites work: Collocation methods for the computation of periodic solutions of delay differential equations
cites work: An analysis of the Petrov - Galerkin finite element method
cites work: The \(hp\) discontinuous Galerkin method for delay differential equations with nonlinear vanishing delay
cites work: Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type
cites work: One-dimensional interpolation inequalities, Carlson-Landau inequalities, and magnetic Schrödinger operators
cites work: A Fully-Discrete Spectral Method for Delay-Differential Equations
cites work: Finite element methods for linear hyperbolic problems
cites work: Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations
cites work: Stability of Runge-Kutta methods for linear delay differential equations
cites work: An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
cites work: Q4220650
cites work: Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations
cites work: On the attainable order of collocation methods for delay differential equations with proportional delay
cites work: The long time behavior of a spectral collocation method for delay differential equations of pantograph type
cites work: Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge--Kutta Methods
cites work: A Legendre-Gauss collocation method for nonlinear delay differential equations
cites work: Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations
cites work: An \textit{a priori} error analysis of the \(hp\)-version of the continuous Galerkin FEM for nonlinear initial value problems
cites work: A note on a norm-preserving continuous Galerkin time stepping scheme
cites work: An L∞-error Estimate for the h-p Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems
cites work: An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
cites work: Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations
DOI: 10.1007/S10915-017-0482-Z
description: scientific article; zbMATH DE number 6858885