A Chebyshev/Stoermer procedure for the numerical integration of second-order systems

Details A Chebyshev/Stoermer procedure for the numerical integration of second-order systems A Chebyshev/Stoermer procedure for the numerical integration of second-order systems

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992asdy.conf.2241r&link_type=abstract

IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18

Mathematics

Dynamical Systems

Boundary Value Problems, Chebyshev Approximation, Dynamical Systems, Interpolation, Numerical Integration, Equations Of Motion, Iterative Solution, Position Errors

Scientific paper

A family of implicit methods based on intra-step Chebyshev interpolation has been developed to integrate initial value problems of the special second-order equations y-double prime = f(y;x). A new, variable-step Stoermer procedure is embedded to accelerate the iterative process required at off-nodal points. The resulting method has low computational overhead and maintains a very low rate of global error growth. Comparisons are made on numerical integrations of the rectangular, heliocentric equations of motion for the planets.

Affiliated with

Also associated with

No associations

Rating

A Chebyshev/Stoermer procedure for the numerical integration of second-order systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Chebyshev/Stoermer procedure for the numerical integration of second-order systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Chebyshev/Stoermer procedure for the numerical integration of second-order systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1166276