scientific article; zbMATH DE number 1017503

zbMath0869.65046MaRDI QIDQ4339211

Laurent O. Jay

Publication date: 6 June 1997

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergencenumerical experimentsinitial value problemsHamiltonian systemssymplectic structurepartitioned Runge-Kutta methodsstiff mechanical systemssemi-explicit index 3 differential-algebraic equations in Hessenberg formstiffly accurate methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Multiple scale methods for ordinary differential equations (34E13)

Related Items (9)

Convergence of Runge-Kutta methods for differential-algebraic systems of index 3 ⋮ Parallel general linear methods for stiff ordinary differential and differential algebraic equations ⋮ Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models ⋮ Projected exponential Runge-Kutta methods for preserving dissipative properties of perturbed constrained Hamiltonian systems ⋮ On the structure of errors for Radau IA methods applied to index-2 DAEs ⋮ A class of linearly-implicit Runge-Kutta methods for multibody systems ⋮ Some comments on DAE theory for IRK methods and trajectory optimization ⋮ Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems ⋮ Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators

This page was built for publication: