Conference proceedings
© 1974

Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations

19, 20 October 1972, The University of Texas at Austin

Editors:

Dale G. Bettis

Dale G. Bettis

View editor publications

You can also search for this editor in PubMed Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 362)

10k Accesses
68 Citations

Sections

Table of contents
Keywords
Bibliographic Information
Publish with us

Buy it now

eBook USD 44.99

Price excludes VAT (USA)

Softcover Book USD 59.00

Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Learn about institutional subscriptions

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (24 papers)

Front Matter

Pages N2-VIII

PDF
Extrapolation methods for the solution of initial value problems and their practical realization
- Josef Stoer
Pages 1-21
Changing stepsize in the integration of differential equations using modified divided differences
- Fred T. Krogh
Pages 22-71
The order of differential equation methods
- J. C. Butcher
Pages 72-75
Equations of condition for high order Runge-Kutta-Nyström formulae
- Dale G. Bettis
Pages 76-91
On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods
- Roy Danchick
Pages 92-106
Phase space analysis in numerical integration of ordinary differential equations
- Bernard E. Howard
Pages 107-127
Multi-off-grid methods in multi-step integration of ordinary differential equations
- Paul R. Beaudet
Pages 128-148
Comparison of numerical integration techniques for orbital applications
- Hays Moore
Pages 149-166
Numerical integration aspects of a nutrient utilization ecological problem
- D. B. Frazho, W. F. Powers, R. P. Canale
Pages 167-182
Calculation of precision satellite orbits with nonsingular elements (VOP formulation)
- C. E. Velez, P. J. Cefola, A. C. Long, K. S. Nimitz
Pages 183-206
Examples of transformations improving the numerical accuracy of the integration of differential equations
- J. Baumgarte, E. Stiefel
Pages 207-236
Computation of solar perturbations with poisson series
- R. Broucke
Pages 237-259
Numerical difficulties with the gravitational n-body problem
- R. H. Miller
Pages 260-275
On the numerical integration of the N-body problem for star clusters
- Roland Wielen
Pages 276-290
A variable order method for the numerical integration of the gravitational N-body problem
- Guy Janin
Pages 291-303
The method of the doubly individual step for N-body computations
- Avram Hayli
Pages 304-312
Integration of the N body gravitational problem by separation of the force into a near and a far component
- Afaq Ahmad, Leon Cohen
Pages 313-336
Numerical experiments on the statistics of the gravitational field
- Leon Cohen, Afaq Ahmad
Pages 337-359
Integration errors and their effects on macroscopic properties of calculated N-body systems
- Haywood Smith Jr.
Pages 360-373

Keywords

Bibliographic Information

Book Title: Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations
Book Subtitle: 19, 20 October 1972, The University of Texas at Austin
Editors: Dale G. Bettis
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0066582
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1974
Softcover ISBN: 978-3-540-06602-6Published: 25 January 1974
eBook ISBN: 978-3-540-37911-9Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 496
Topics: Mathematics, general

Publish with us

Policies and ethics

Access via your institution

Buy it now

eBook USD 44.99

Price excludes VAT (USA)

Softcover Book USD 59.00

Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Learn about institutional subscriptions