Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded

DOI10.1007/s00211-015-0760-3zbMath1351.65048OpenAlexW1491834394MaRDI QIDQ303636

Paul I. Barton, Stuart M. Harwood, Kai Höffner

Publication date: 22 August 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/103799

zbMATH Keywords

numerical resultsinitial value problemdynamic flux balance analysisindustrial fermentation reactionsparametric lexicographic linear programsemi-explicit index-one differential algebraic equations

Mathematics Subject Classification ID

Linear programming (90C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Biochemistry, molecular biology (92C40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Mathematical programming (90C99) Hybrid systems of ordinary differential equations (34A38)

Related Items (4)

Efficient polyhedral enclosures for the reachable set of nonlinear control systems ⋮ Generalized derivatives of lexicographic linear programs ⋮ An improved multi-parametric programming algorithm for flux balance analysis of metabolic networks ⋮ Dynamic flux balance analysis with nonlinear objective function

Uses Software

• MA48
• DAEPACK
• BiGG

Cites Work

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