# Approximate Exponential Algorithms to Solve the Chemical Master Equation

Source: [Approximate Exponential Algorithms to Solve the Chemical Master Equation](<https://www.sota2.com/research/paper/68fa53301e209131ce981396>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-05T05:00:33.258Z

Authors: Azam S. Zavar Moosavi, Adrian Sandu

Published: 2014-10-07T22:11:53.000Z

## Abstract

This paper discusses new simulation algorithms for stochastic chemical kinetics that exploit the linearity of the chemical master equation and its matrix exponential exact solution. These algorithms make use of various approximations of the matrix exponential to evolve probability densities in time. A sampling of the approximate solutions of the chemical master equation is used to derive accelerated stochastic simulation algorithms. Numerical experiments compare the new methods with the established stochastic simulation algorithm and the tau-leaping method.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1410.1934>)

[PDF](<https://arxiv.org/pdf/1410.1934.pdf>)