How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems

• Published in: BIT Vol. 62; no. 2; pp. 431 - 463
• Main Authors: Cano, B., Reguera, N.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.06.2022; Springer Nature B.V
• Subjects: Boundary conditions; Boundary value problems; Computational Mathematics and Numerical Analysis; Mathematics; Mathematics and Statistics; Numeric Computing; Quadratures; Runge-Kutta method; Order reduction; Lawson methods; Initial boundary value problems; 65M12; 65M20; Reaction-diffusion

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 satisfy enough conditions of annihilation on the boundary. However, in a previous paper, a modification of Lawson quadrat...