Improved Chebyshev methods for the numerical integration of first-order differential equations

Advances in the Astronautical Sciences

Volumn 99, Issue 2, 1998, Pages 1533-1543

  Richardson, D L ^a   Schmidt, D ^a   Mitchell, J ^a  

^a University of Cincinnati   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347416992     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (12)

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2. Carpenter, Donald, Doctoral Dissertation, U. of Cincinnati, Cincinnati, Ohio, 1996.
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5. Fehlberg, E., "Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control," NASA TR R-287, 1968.
6. Fox, L. and Parker, I.B., Chebyshev Polynomials in Numerical Analysis, Oxford U. Press, London, 1968.
7. Henrici, P., Discrete Variable Methods in Ordinary Differential Equations, John Wiley, New York, 1962.
8. Panovsky, J. and Richardson, D.L., "A Method for the Numerical Integration of Ordinary Differential Equations using Chebyshev Polynomials," AAS/AIAA paper no. 85-405, 1985.
9. Panovsky, J. and Richardson, D.L., "A Family of Implicit Chebyshev Methods for the Numerical Integration of Second-Order Ordinary Differential Equations," J. of Computational and Applied Mathematics, 23, p. 35, 1988.
10. Richardson, D.L. and Panovsky, J., "A Family of Implicit Chebyshev Methods for the Numerical Integration of First-Order Differential Equations," AAS/AIAA paper no. 93-691, 1993.
11. Snyder, M., Chebyshev Methods in Numerical Approximation, Prentice Hall, New Jersey, 1966.
12. Yoshida, H., "Construction of Higher Order Symplectic Integrators," Physics Letters A, 150, p. 262, 1990.