Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642230 | Journal of Computational and Applied Mathematics | 2009 | 12 Pages |
Abstract
We consider explicit two-step peer methods for the solution of nonstiff differential systems. By an additional condition a subclass of optimally zero-stable methods is identified that is superconvergent of order p=s+1p=s+1, where ss is the number of stages. The new condition allows us to reduce the number of coefficients in a numerical search for good methods. We present methods with 4–7 stages which are tested in FORTRAN90 and compared with DOPRI5 and DOP853. The results confirm the high potential of the new class of methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rüdiger Weiner, Bernhard A. Schmitt, Helmut Podhaisky, Stefan Jebens,