A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
type: Item
instance of: scholarly article
title: A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
zbMATH Open document ID: 0485.65087
DOI: 10.1016/0771-050X(82)90044-4
author: H. Brunner
published in: Journal of Computational and Applied Mathematics
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 3763238
zbMATH Keywords: Bibliography
zbMATH Keywords: bibliography
zbMATH Keywords: research survey
zbMATH Keywords: first and second kind
zbMATH Keywords: weakly singular kernels
describes a project that uses: Algorithm 627
MaRDI profile type: Publication
cites work: Q3856684
cites work: The Deferred Approach to the Limit for Eigenvalues of Integral Equations
cites work: Q4047075
cites work: Solution methods for integral equations. Theory and applications
cites work: Q4097708
cites work: Q3310351
cites work: Q4200687
cites work: Almost-periodic behavior of solutions of a nonlinear Volterra system.
cites work: Q5607581
cites work: Q3205182
cites work: Volterra integral equations
cites work: Q4118749
cites work: Q3942318
cites work: An alternating direction implicit algorithm for the solution of linear complementarity problems arising from free boundary problems
cites work: Q3873477
cites work: Q4191556
cites work: Q3867119
cites work: Q5736425
cites work: Q3859223
cites work: Q3896989
cites work: The numerical solution of nonlinear Volterra integral equations
cites work: Q4082970
cites work: Stability and Convergence of Multistep Methods for Linear Volterra Integral Equations of the First Kind
cites work: Q5595565
cites work: Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations
cites work: On the Numerical Stability of Reducible Quadrature Methods for Second Kind Volterra Integral Equations
cites work: Q3326792
cites work: The direct numerical solution of a Volterra integral equation arising out of viscoelastic stress in materials
cites work: A note on a paper by luxemburg concerning the laplace transform
cites work: Q3886813
cites work: Q3265981
cites work: Q3863015
cites work: Q3894941
cites work: Stability Regions in the Numerical Treatment of Volterra Integral Equations
cites work: Stability analysis of certain Runge-Kutta procedures for Volterra integral equations
cites work: Q3880257
cites work: Q4190083
cites work: On a method of Bownds for solving Volterra integral equations
cites work: Q3886814
cites work: Q3965544
cites work: On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations
cites work: A smoothed projection method for singular, nonlinear Volterra equations
cites work: Q4404393
cites work: Q3880258
cites work: Piecewise Polynomial Collocation for Volterra-type Integral Equations of the Second Kind
cites work: Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
cites work: Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind
cites work: Q3875281
cites work: Q3868237
cites work: Q4050071
cites work: A Starting Method for Solving Nonlinear Volterra Integral Equations
cites work: Application of Spline Functions to Systems of Volterra Integral Equations of the First and Second Kinds
cites work: Numerische Behandlung einer Volterraschen Integralgleichung
cites work: Q5624620
cites work: The numerical solution of non-singular linear integral equations
cites work: Sull' analisi numerica delle equazioni integrali di Volterra
cites work: Predictor-corrector methods for nonlinear Volterra integral equations of the second kind
cites work: The numerical solution of volterra intergral equations with singular kernels
cites work: Solving Nonlinear Second Kind Volterra Equations by Modified Increment Methods

A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations (cites work)
cites work: The Solution of Volterra Integral Equations of the Convolution Type Using Two-Point Rational Approximants

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cites work: Asymptotic expansions for multistep methods applied to nonlinear Volterra integral equations of the second kind

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cites work: Asymptotic Expansions for Product Integration

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cites work: High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels

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cites work: Implicit Runge-Kutta methods for second kind Volterra integral equations

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cites work: Q4148927

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cites work: Convergence and stability results in Runge-Kutta type methods for Volterra integral equations of the second kind

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cites work: Q4195897

A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations (cites work)
cites work: Backward differentiation type formulas for Volterra integral equations of the second kind

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cites work: On the stability of multistep formulas for Volterra integral equations of the second kind

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cites work: Convergence and Stability Analysis for Modified Runge—Kutta Methods in the Numerical Treatment of Second-Kind Volterra Integral Equations

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cites work: Q5561530

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cites work: Numerial Methods for Volterra Integral Equations with Singular Kernels

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cites work: A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind

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cites work: Q5652173

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cites work: Numerical solution of Volterra integral equations

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cites work: $A$-stable methods of high order for Volterra integral equations

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cites work: The repetition factor and numerical stability of Volterra integral equations

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cites work: Q3878722

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cites work: Spline Approximation to the Solution of the Volterra Integral Equation of the Second Kind

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cites work: Positive quadratures for Volterra equations

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cites work: Q4127960

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cites work: Q5345234

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cites work: An error estimate for Volterra integral equations

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cites work: Q4188686

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cites work: Q5722544

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cites work: Q3915983

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cites work: Numerical solution of Volterra integral equation

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cites work: Q3862373

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cites work: On the Relation between the Repetition Factor and Numerical Stability of Direct Quadrature Methods for Second Kind Volterra Integral Equations

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cites work: The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations

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cites work: Q3906361

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cites work: Q3897985

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cites work: Q3928203

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cites work: Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind

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cites work: An extrapolation method with step size control for nonlinear Volterra integral equations

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cites work: Q3856084

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cites work: On optimal high accuracy linear multistep methods for first kind volterra integral equations

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cites work: The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method

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cites work: The nonlinear Volterra equation of Abel's kind and its numerical treatment

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cites work: Corrigendum

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cites work: Global Solution of the Generalized Abel Integral Equation by Implicit Interpolation

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cites work: Q4144743

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cites work: Discretization of Volterra Integral Equations of the First Kind

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cites work: Discretization of Volterra integral equations of the first kind. II

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cites work: Superconvergence of collocation methods for Volterra integral equations of the first kind

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cites work: A note on collocation methods for Volterra integral equations of the first kind

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cites work: Q3862372

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cites work: Q3923560

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cites work: Quadrature Rule Methods for Volterra Integral Equations of the First Kind

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cites work: Stability of quadrature rule methods for first kind volterra integral equations

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cites work: Q4070232

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cites work: On the solution of Volterra integral equations of the first kind

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cites work: High Order Methods for Volterra Integral Equations of the First Kind

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cites work: A third order, semi-explicit method in the numerical solution of first kind Volterra integral equations

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cites work: Q5538037

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cites work: Numerical methods for Volterra integral equations of the first kind

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cites work: Product integration methods for Volterra integral equations of the first kind

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cites work: Best convergence rates of linear multistep methods for Volterra first kind equations

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cites work: Numerical solution of the abel integral equation

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cites work: Numerical Solutions of a Class of Abel Integral Equations

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cites work: The solution of Volterra integral equations of the first kind using inverted differentiation formulae

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cites work: Q3871386

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cites work: A product integration method for a class of singular first kind Volterra equations

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cites work: Convergence of linear multistep methods for Volterra first kind equations with k(t,t)=0

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cites work: Reducible quadrature methods for Volterra integral equations of the first kind

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cites work: Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations

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cites work: On the numerical solution of nonlinear Volterra integro-differential equations

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cites work: Stability of numerical methods for Volterra integro-differential equations

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cites work: Numerical Methods for Nonlinear Volterra Integro-Differential Equations

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cites work: Q4140338

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cites work: Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations

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cites work: Linear Multistep Methods for Volterra Integral and Integro-Differential Equations

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cites work: Convergence of multistep methods for Volterra functional differential equations

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cites work: Linear Multistep Methods for Volterra Integro-Differential Equations

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cites work: Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations

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cites work: A-stable linear multistep methods for Volterra integro-differential equations

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cites work: Cyclic Multistep Methods for Solving Volterra Integro-Differential Equations

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cites work: Q4404392

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cites work: Convergence of Step-by-step Methods for Non-linear Integro-Differential Equations

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cites work: Collocation methods for Volterra integrodifferential equations with singular kernels

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cites work: One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations

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cites work: Linear multistep methods for the numerical solution of volterra functional differential equations†

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cites work: Q4174200

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cites work: Automatic Integration of Functional Differential Equations: An Approach

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cites work: Q5615035

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cites work: Q4188688

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cites work: Analytically Solving Integral Equations by Using Computer Algebra

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cites work: Addendum to “Analytically Solving Integral Equations by Using Computer Algebra”

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cites work: Q4070291

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cites work: Stable Procedures for the Inversion of Abel′s Equation

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cites work: Numerical differentiation procedures for non-exact data

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cites work: Numerical Differentiation and Regularization

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cites work: Q4765994

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cites work: Q4158435

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cites work: Q3888484

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cites work: The application of the least squates finite element method to Abel's integral equation

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cites work: Constant rate harvesting of populations governed by Volterra integral equations

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cites work: Q5609597

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cites work: Q3870732

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cites work: Q3872969

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cites work: Q3892737

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cites work: Q4158625

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cites work: Accurate and efficient quadrature for Volterra integral equations

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cites work: Q3860591

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cites work: Q3355207