Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry

DOI10.1137/080740611zbMath1391.86007OpenAlexW2068934455MaRDI QIDQ3162131

Alexandre Caboussat, Chantal Landry, Ernst Hairer

Publication date: 19 October 2010

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

Full work available at URL: https://archive-ouverte.unige.ch/unige:5212

zbMATH Keywords

constrained optimizationinitial value problemsdifferential-algebraic equationsRunge-Kutta methodsevent detectiondiscontinuity pointscomputational chemistry

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Meteorology and atmospheric physics (86A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Chemistry (general) in thermodynamics and heat transfer (80A50)

Related Items (9)

Optimization-constrained differential equations with active set changes ⋮ Optimization problem coupled with differential equations: a numerical algorithm mixing an Interior-point method and event detection ⋮ Dynamic flux balance analysis with nonlinear objective function ⋮ Analysis of the Implicit Euler Time-Discretization of Semiexplicit Differential-Algebraic Linear Complementarity Systems ⋮ The new full-Newton step interior-point algorithm for the Fisher market equilibrium problems based on a kernel function ⋮ Unnamed Item ⋮ A full-Newton step infeasible interior-point method for the special weighted linear complementarity problem ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ An efficient algorithm for solving piecewise-smooth dynamical systems

Uses Software

• NewtonLib
• GLOPEQ

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