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math.NA2023
Exponential Rosenbrock methods without order reduction when integrating nonlinear initial value problems
Begoña Cano, María Jesús Moreta
A technique is described in this paper to avoid order reduction when integrating reaction-diffusion initial boundary value problems with explicit exponential Rosenbrock methods. Th…
math.NA2023
Simplified explicit exponential Runge-Kutta methods without order reduction
Begoña Cano, María Jesús Moreta
In a previous paper, a technique was suggested to avoid order reduction with any explicit exponential Runge-Kutta method when integrating initial boundary value nonlinear problems…
math.NA2022★ 1 cited
Avoiding order reduction with explicit Runge-Kutta exponential methods in nonlinear initial boundary value problems
Begoña Cano, Marí a Jesús Moreta
In this paper a technique is given to recover the classical order of the method when explicit exponential Runge-Kutta methods integrate reaction-diffusion problems. Although method…