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<title>AAS 98-208</title><body BGCOLOR="ffffff"> <h2>AAS 98-208</h2> <h2>IMPROVED CHEBYSHEV METHODS FOR THE NUMERICAL INTEGRATION OF FIRST-ORDER DIFFERENTIAL EQUATIONS</h2> <h4>D. L. Richardson, D. Schmidt, J. Mitchell - University of Cincinnati</h4> <h2> Abstract </h2> 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. <P><A HREF="http://www.space-flight.org/AAS_meetings/1998_winter/sessions.html">Back</A>