One-step and extrapolation methods for differential-algebraic systems
From MaRDI portal
Publication:1097650
DOI10.1007/BF01400352zbMath0635.65083MaRDI QIDQ1097650
Ernst Hairer, J. Zugck, Peter Deuflhard
Publication date: 1987
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133209
differential-algebraic equationsindex of nilpotencytest examplesmatrix pencilextrapolation algorithmone-step methodschemical combustionsemi-implicit Euler discretization
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Combustion (80A25)
Related Items
Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1, Numerical solution of differential--algebraic equation systems and applications, Intrinsic low-dimensional manifolds of strained and unstrained flames, Numerical solution of hybrid systems of differential-algebraic equations, A new look at pencils of matrix valued functions, Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces, Extrapolation at stiff differential equations, Charge-oriented extrapolation methods in digital circuit simulation, Two-dimensional fully adaptive solutions of reaction-diffusion equations, On the History of Differential-Algebraic Equations, A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations, Convergence of numerical methods for systems of neutral functional-differential-algebraic equations, Linearly implicit extrapolation methods for differential-algebraic systems, The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations, Generalized ROW-type methods for solving semi-explicit DAEs of index-1, Solving system of DAEs by homotopy analysis method, AIDS — Risikoanalyse für Lebens- und Berufsunfähigkeitsversicherung, Numerical solutions of chemical differential-algebraic equations, Nonlinear fluid-structure interaction problem. I: Implicit partitioned algorithm, nonlinear stability proof and validation examples, Dense output for extrapolation methods, Recent developments in the numerical solution of differential/algebraic systems, Extrapolated multirate methods for differential equations with multiple time scales, On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems, Sensitivity analysis of linearly-implicit differential--algebraic systems by one-step extrapolation., Stabilized overlapping modular time integration of coupled differential-algebraic equations, Mechanisms performance and pressure dependence of hydrogen/air burner-stabilized flames, Parallel sensitivity analysis for efficient large-scale dynamic optimization, Numerical solution of differential algebraic Riccati equations, Stable splitting scheme for general form of associated plasticity including different scales of space and time, An error analysis of iterated defect correction methods for linear differential-algebraic equations, Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1, Simulation of system models containing zero-order causal paths. I.: Classification of zero-order causal paths, Smooth factorizations of matrix valued functions and their derivatives, On Extrapolated Multirate Methods, Relationships between emission sources and excess ozone concentrations, A detailed chemical kinetic model of high-temperature ethylene glycol gasification, Simulation of nonequilibrium hypersonic flows, Reduction of chemical kinetics in air pollution modeling, A mathematical model of the human menstrual cycle for the administration of GnRH analogues, Modelling of NO and HC removal by non-thermal plasmas, Ignition of Droplets in a Laminar Convective Environment, Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics, The extension of the ILDM concept to reaction–diffusion manifolds, Partitioning ODE systems with an application to air pollution models, Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative, What is required for neuronal calcium waves? A numerical parameter study, Operator splitting for chemical reaction systems with fast chemistry, Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems, A multirate ROW-scheme for index-1 network equations, Effect of structural conduction and heat loss on combustion in micro-channels, Rosenbrock methods for differential algebraic equations, The stabilization of linear multistep methods for constrained mechanical systems, Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems, Chebyshev series approximation for solving differential–algebraic equations (DAEs), Convergence results for general linear methods on singular perturbation problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Order and stepsize control in extrapolation methods
- A semi-implicit mid-point rule for stiff systems of ordinary differential equations
- Asymptotic expansions of the global error of fixed-stepsize methods
- ODE Methods for the Solution of Differential/Algebraic Systems
- Differential-Algebraic Systems as Differential Equations on Manifolds
- Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
- Recent Progress in Extrapolation Methods for Ordinary Differential Equations
- Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
- Differential/Algebraic Equations are not ODE’<scp>s</scp>
- Analysis of descriptor systems using numerical algorithms
