Collocation Software for Boundary Value Differential-Algebraic Equations

DOI10.1137/0915056zbMath0804.65080OpenAlexW2069809965MaRDI QIDQ4305419

Uri M. Ascher, Raymond J. Spiteri

Publication date: 15 January 1995

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/52ecef15ac3d0bf8e65055331a8f9db6051637de

zbMATH Keywords

collocation methodCOLDAEcollocation softwaresystems of nonlinear semi-explicit differential-algebraic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (40)

Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ On the numerical solution of differential--algebraic equations with index-2 ⋮ Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide ⋮ Evolution of cannibalistic traits: scenarios derived from adaptive dynamics ⋮ An adaptive mesh refinement method for indirectly solving optimal control problems ⋮ Nonlinear numerics ⋮ LS-SVM approximate solution to linear time varying descriptor systems ⋮ Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions ⋮ ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM ⋮ Reducing index, and pseudospectral methods for differential-algebraic equations. ⋮ Constraint control of nonholonomic mechanical systems ⋮ Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations ⋮ A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach ⋮ The continuous spectrum for a boundary layer in a streamwise pressure gradient ⋮ Least-squares collocation for linear higher-index differential-algebraic equations ⋮ The control of linear time-periodic systems using Floquet–Lyapunov theory ⋮ Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem ⋮ One-Parameter Bifurcations in Planar Filippov Systems ⋮ An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs ⋮ Parallel indirect solution of optimal control problems ⋮ Collocation methods for index 1 DAEs with a singularity of the first kind ⋮ Numerical solutions of linear time-varying descriptor systems via hybrid functions ⋮ Numerical solution of differential-algebraic equations with index-2 ⋮ Numerical solution of differential algebraic equations using a multiquadric approximation scheme ⋮ On the numerical solution of differential-algebraic equations with index-3 ⋮ A discrete Galerkin method for a catalytic combustion model ⋮ An optimality criterion for a linear-quadratic optimal control problem for a descriptor system ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Parallel collocation solution of index-1 BVP-DAEs arising from constrained optimal control problems ⋮ Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum ⋮ The method of normal splines for linear DAEs on the number semi-axis ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses ⋮ PERIODIC SOLUTIONS OF DIFFERENTIAL ALGEBRAIC EQUATIONS WITH TIME DELAYS: COMPUTATION AND STABILITY ANALYSIS ⋮ Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs ⋮ A stable elemental decomposition for dynamic process optimization ⋮ Computation of Periodic Solutions of Differential-Algebraic Equations in the Neighborhood of Hopf Bifurcation Points ⋮ Nonlinear Numerics ⋮ Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices ⋮ Multiple shooting using a dichotomically stable integrator for solving differential-algebraic equations

Uses Software

• COLNEW
• COLSYS

This page was built for publication: Collocation Software for Boundary Value Differential-Algebraic Equations