most citedOrder reduction and how to avoid it when Lawson methods integrate reaction-diffusion boundary value problems

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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…

math.NA2019★ 2 cited

Order reduction and how to avoid it when Lawson methods integrate reaction-diffusion boundary value problems

Begoña Cano, Nuria Reguera

It is well known that Lawson methods suffer from a severe order reduction when integrating initial boundary value problems where the solutions are not periodic in space or do not s…