Multistep collocation methods for Volterra integral equations

From MaRDI portal
Publication:1030662

DOI10.1016/j.apnum.2009.01.001zbMath1172.65069OpenAlexW2002391791MaRDI QIDQ1030662

Dajana Conte, Beatrice Paternoster

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.01.001




Related Items (55)

Construction and implementation of two-step continuous methods for Volterra integral equationsCollocation boundary value methods for auto-convolution Volterra integral equationsAn interpolation-based method for solving Volterra integral equationsA class of two-step collocation methods for Volterra integro-differential equationsOn the stability of \(\vartheta\)-methods for stochastic Volterra integral equationsAn accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutionsMultistep collocation method for Fredholm integral equations of the second kindSuper implicit multistep collocation methods for nonlinear Volterra integral equationsNumerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolationRecent advances in the numerical solution of Volterra integral equationsAn efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutionsA combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equationsHigh-order convergence of multistep collocation methods for nonstandard Volterra integral equationsOn the numerical stability of the linear barycentric rational quadrature method for Volterra integral equationsMultistep Hermite collocation methods for solving Volterra integral equationsOn the numerical solutions for nonlinear Volterra-Fredholm integral equationsStability analysis of the high-order multistep collocation method for the functional integral equations with constant delaysMultistep collocation methods for Volterra integro-differential equationsA collocation boundary value method for linear Volterra integral equationsNumerical methods based on the Floater-Hormann interpolants for stiff VIEsUnnamed ItemImproved \(\vartheta\)-methods for stochastic Volterra integral equationsTwo-step diagonally-implicit collocation based methods for Volterra integral equationsBlock collocation boundary value solutions of the first-kind Volterra integral equationsDirect operational vector scheme for first-kind nonlinear Volterra integral equations and its convergence analysisImplementation of general linear methods for Volterra integral equationsNatural Volterra Runge-Kutta methodsEf-Gaussian direct quadrature methods for Volterra integral equations with periodic solutionA multistep Legendre pseudo-spectral method for Volterra integral equationsConstruction of efficient general linear methods for stiff Volterra integral equationsOn the convergence of multistep collocation methods for integral-algebraic equations of index 1Highly stable multistep Runge-Kutta methods for Volterra integral equationsHigh order exponentially fitted methods for Volterra integral equations with periodic solutionParallel methods for weakly singular Volterra integral equations on GPUsMultistep collocation approximations to solutions of first-kind Volterra integral equationsStability analysis of spline collocation methods for fractional differential equationsHigh-order collocation methods for nonlinear delay integral equationCollocation methods for nonlinear stochastic Volterra integral equationsAn $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delaysAdaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysisA new strategy for the numerical solution of nonlinear Volterra integral equations with vanishing delaysGPU-acceleration of waveform relaxation methods for large differential systemsLagrange collocation method for solving Volterra-Fredholm integral equationsA Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions\(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kindCollocation methods for Volterra integral and integro-differential equations: a reviewStability issues for selected stochastic evolutionary problems: a reviewNumerical analysis of a high order method for nonlinear delay integral equationsTwo-step collocation methods for two-dimensional Volterra integral equations of the second kindAn iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional orderGeneral linear methods with large stability regions for Volterra integral equationsA numerical method for solving Volterra integral equations of the third kind by multistep collocation methodNumerical solution of Volterra integro-differential equations by superimplicit multistep collocation methodsMultistep collocation methods for integral-algebraic equations with non-vanishing delaysConvergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays


Uses Software


Cites Work


This page was built for publication: Multistep collocation methods for Volterra integral equations