Second order Chebyshev methods based on orthogonal polynomials
Purchase on Springer.com
$39.95 / €34.95 / £29.95*
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.
Stabilized methods (also called Chebyshev methods) are explicit Runge-Kutta methods with extended stability domains along the negative real axis. These methods are intended for large mildly stiff problems, originating mainly from parabolic PDEs. The aim of this paper is to show that with the use of orthogonal polynomials, we can construct nearly optimal stability polynomials of second order with a three-term recurrence relation. These polynomials can be used to construct a new numerical method, which is implemented in a code called ROCK2. This new numerical method can be seen as a combination of van der Houwen-Sommeijer-type methods and Lebedev-type methods.
- Second order Chebyshev methods based on orthogonal polynomials
Volume 90, Issue 1 , pp 1-18
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Mathematics Subject Classification (1991): 65L20, 65M20
- Industry Sectors