Construction of two-step Runge--Kutta methods with large regions of absolute stability

Authors:
J. Chollom;Z. Jackiewicz
Affiliations:
Mathematics Department, University of Jos, PMB 2084, Bauchi Road, Jos, Plateau, Nigeria;Department of Mathematics, Arizona State University, Tempe, AZ
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

We describe the construction of explicit two-step Runge-Kutta methods of order p and stage order q = p-1 or q = p with large regions of absolute stability. This process is illustrated for the methods of order p = 2, and 3 and leads to new methods which are competitive with explicit Runge-Kutta methods of the same order.