Recent developments in the numerical solution of differential/algebraic systems

DOI10.1016/0045-7825(89)90016-9zbMath0695.65048OpenAlexW2055804585MaRDI QIDQ910167

Linda R. Petzold

Publication date: 1989

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90016-9

zbMATH Keywords

convergencedifferential-algebraic equationsindexresearch surveyimplicit Runge-Kutta methodslinear boundary value problemsstructurebackward differentiation formulasconsistent initial values

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Unnamed Item ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ An accelerated iterative method for the dynamics of constrained multibody systems ⋮ A projection method for incompressible viscous flow on moving quadrilateral grids ⋮ A general framework for the numerical solution of problems in finite elasto-plasticity ⋮ An implicit integration algorithm for the finite element implementation of a nonlinear anisotropic material model including hysteretic nonlinearity

Uses Software

• DASSL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A study of B-convergence of Runge-Kutta methods
• Automatic integration of Euler-Lagrange equations with constraints
• One-step and extrapolation methods for differential-algebraic systems
• A structural form for higher-index semistate equations. I: Theory and applications to circuit and control theory
• ODE Methods for the Solution of Differential/Algebraic Systems
• On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs
• On Difference and Shooting Methods for Boundary Value Problems in Differential-Algebraic Equations
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• Differential-Algebraic Equation Index Transformations
• Implicit Runge–Kutta Methods for Differential Algebraic Equations
• Numerical Solution of Boundary Value Problems in Differential-Algebraic Systems
• Efficiently Implementable Algebraically Stable Runge–Kutta Methods
• Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
• On Numerical Differential Algebraic Problems with Application to Semiconductor Device Simulation
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
• Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations

This page was built for publication: Recent developments in the numerical solution of differential/algebraic systems