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20212026
most citedA -mode integrator for solving evolution equations in Kronecker form

13 citations · 27 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.NA2023

Efficient third order tensor-oriented directional splitting for exponential integrators

Fabio Cassini

Suitable discretizations through tensor product formulas of popular multidimensional operators (diffusion or diffusion--advection, for instance) lead to matrices with -dimension…

math.NA2023★ 1 cited

A second order directional split exponential integrator for systems of advection--diffusion--reaction equations

Marco Caliari, Fabio Cassini

We propose a second order exponential scheme suitable for two-component coupled systems of stiff evolutionary advection--diffusion--reaction equations in two and three space dimens…

math.NA2023

Direction splitting of -functions in exponential integrators for -dimensional problems in Kronecker form

Marco Caliari, Fabio Cassini

In this manuscript, we propose an efficient, practical and easy-to-implement way to approximate actions of -functions for matrices with -dimensional Kronecker sum structure i…

math.NA2023

Accelerating exponential integrators to efficiently solve semilinear advection-diffusion-reaction equations

Marco Caliari, Fabio Cassini, Lukas Einkemmer +1

In this paper we consider an approach to improve the performance of exponential Runge--Kutta integrators and Lawson schemes} in cases where the solution of a related, but usually m…

math.OC2023

Exponential integrators for mean-field selective optimal control problems

Giacomo Albi, Marco Caliari, Elisa Calzola +1

In this paper we consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and dif…