Magnus expansions and pseudospectra of Master Equations
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.
- Pub Date:
- January 2017
- Mathematics - Numerical Analysis;
- Mathematics - Probability;
- Statistics - Computation