Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation

DOI10.1080/10556788.2017.1378653zbMath1401.65070arXiv1701.00745OpenAlexW2731479783MaRDI QIDQ4685599

Andreas Griewank, Richard Hasenfelder, Manuel Radons, Lutz Lehmann, Tom Streubel

Publication date: 9 October 2018

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00745

zbMATH Keywords

automatic differentiationLipschitz continuitytrapezoidal rulenonsmoothpiecewise linearizationenergy preservationdense output

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical methods for ordinary differential equations (65L99)

Related Items

Nonsmooth Hessenberg differential-algebraic equations, On the abs-polynomial expansion of piecewise smooth functions, Determining Key Parameters in Riots Using Lexicographic Directional Differentiation

Uses Software

• dcc

Cites Work

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