AAS 98-208

IMPROVED CHEBYSHEV METHODS FOR THE NUMERICAL INTEGRATION OF FIRST-ORDER DIFFERENTIAL EQUATIONS

D. L. Richardson, D. Schmidt, J. Mitchell - University of Cincinnati

Abstract

An improved version for Chebyshev integration of first-order differential equations has been developed. The paper describes the mathematical aspects of the improved procedures and their application to a selected set of Astrodynamics equations. The new procedures include automatic stepsize adjustment and a minimal iteration scheme for intra-nodal point values. The paper also discusses the A-stable character of the methods. The analysis demonstrates that these first-order Chebychev methods are quite suitable for integration of stiff systems.

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