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physics.comp-ph2026
Stochastic simulations of nonlinear reaction-diffusion equations using an exponential integrator
Elliot J. Carr
Stochastic simulations can be generated from deterministic reaction-diffusion equations by discretising in space and time and interpreting coefficients in the resulting system of d…
physics.comp-ph2026
Properties of the matrix functions arising in exponential integrators with applications to stochastic simulations of PDEs
Elliot J. Carr
The matrix exponential and the closely related matrix phi-functions play a fundamental role in the solution of first-order systems of ordinary differential equations (ODEs). In par…