RT info:eu-repo/semantics/article
T1 Efficient Time Integration of Nonlinear Partial Differential Equations by Means of Rosenbrock Methods
A1 Alonso Mallo, Isaías
A1 Cano Urdiales, Begoña
K1 Matemáticas
K1 nonlinear partial differential equations; Rosenbrock method; order reduction
K1 65M12, 65M20
AB We avoid as as much as possible the order reduction of Rosenbrock methods when theyare applied to nonlinear partial differential equations by means of a similar technique to the oneused previously by us for the linear case. For this we use a suitable choice of boundary values for theinternal stages. The main difference from the linear case comes from the difficulty to calculate thoseboundary values exactly in terms of data. In any case, the implementation is cheap and simple since,at each stage, just some additional terms concerning those boundary values and not the whole gridmust be added to what would be the standard method of lines.
PB MDPI
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/74418
UL https://uvadoc.uva.es/handle/10324/74418
LA eng
NO Mathematics 2021, 9, 1970
NO Producción Científica
DS UVaDOC
RD 03-abr-2025