# Magnus expansions and pseudospectra of Master Equations

Source: [Magnus expansions and pseudospectra of Master Equations](<https://www.sota2.com/research/paper/68fa538f1e209131ce984108>)

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

Data updated: 2026-06-05T05:01:08.426Z

Authors: Arieh Iserles, Shev MacNamara

Published: 2017-01-10T11:33:41.000Z

## Abstract

New directions in research on master equations are showcased by example. Magnus expansions, time-varying rates, and pseudospectra are highlighted. Exact eigenvalues are found and contrasted with the large errors produced by standard numerical methods in some cases. Isomerisation provides a running example and an illustrative application to chemical kinetics. We also give a brief example of the totally asymmetric exclusion process.

## 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/1701.02522>)

[PDF](<https://arxiv.org/pdf/1701.02522.pdf>)