Adams methods for neutral functional differential equations

DOI10.1007/BF01408695zbMath0491.65044OpenAlexW382689479MaRDI QIDQ1167519

Zdzisław Jackiewicz

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132792

zbMATH Keywords

numerical experimentsorder of convergencenon-smooth solutionneutral functional differential equationAdams type methodsk-step methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (14)

NP-STABILITY OF A NEW 2-POINT ONE BLOCK PREDICTOR-CORRECTOR METHOD FOR SOLVING NEUTRAL DELAY DIFFERENTIAL EQUATIONS ⋮ Dissipative approximations to neutral DDEs ⋮ Classical theory of Runge-Kutta methods for Volterra functional differential equations ⋮ Existence, Uniqueness and Applications of the Spline Method for Functional-Differential Equation of Neutral Type ⋮ Stability analysis of one-step methods for neutral delay-differential equations ⋮ Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method ⋮ Direct Multistep Method for Solving Retarded and Neutral Delay Differential Equation with Boundary and Initial Value Problems ⋮ Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations ⋮ Software for the numerical solution of systems of functional differential equations with state-dependent delays ⋮ Waveform relaxation methods for functional differential systems of neutral type ⋮ Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations ⋮ On the one-leg methods for solving nonlinear neutral differential equations with variable delay ⋮ Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space ⋮ Analysis of an adaptive collocation solution for retarded and neutral delay systems

Cites Work

• Euler-Verfahren für neutrale Funktional-Differentialgleichungen
• Convergence of linear multistep methods for differential equations with discontinuities
• Convergence of multistep methods for Volterra functional differential equations
• Numerical solutions of ordinary and retarded differential equations with discontinuous derivatives
• The Numerical Solution of Volterra Functional Differential Equations of Neutral Type
• One step methods for the numerical solution of volterra functional differential equations of neutral type
• Linear multistep methods for the numerical solution of volterra functional differential equations^†
• Actual Order of Convergence of Runge–Kutta Methods on Differential Equations with Discontinuities
• A First Order Method for Differential Equations of Neutral Type
• Order of Convergence of Linear Multistep Methods for Functional Differential Equations
• One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations
• Convergence of Difference Methods for Initial and Boundary Value Problems with Discontinuous Data
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