Implementation of variable parameters in the Krylov-based finite state projection for solving the chemical master equation

DOI10.1016/j.amc.2016.08.013zbMath1411.65070OpenAlexW2513178912MaRDI QIDQ1737166

H. D. Vo, Roger B. Sidje

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.013

zbMATH Keywords

matrix exponentialchemical master equationfinite state projectionadaptive Krylov method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (1)

A shift and invert reorthogonalization Arnoldi algorithm for solving the chemical master equation

Uses Software

• Expokit
• Algorithm 919
• phipm

Cites Work

• A numerical study of large sparse matrix exponentials arising in Markov chains.
• A multiple time interval finite state projection algorithm for the solution to the chemical master equation
• Algorithm 919
• Multiscale Modeling of Chemical Kinetics via the Master Equation
• Expokit
• SOLVING STOCHASTIC CHEMICAL KINETICS BY METROPOLIS-HASTINGS SAMPLING

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