Differential equations, mechanics, and computation / Richard S. Palais, Robert A. Palais.

Author/creator Palais, Richard S.
Other author Palais, Robert Andrew.
Format Book
Publication InfoProvidence, R.I. : American Mathematical Society ; Princeton, N.J. : Institute for Advanced Study, ©2009.
Descriptionxiii, 313 pages : illustrations ; 22 cm.
Subjects
Evolution equations.
Differential equations, Linear--Numerical solutions.
Differential equations--Numerical solutions.
Mechanics.

SeriesStudent mathematical library. IAS/Park City mathematical subseries ; v. 51
Student mathematical library. IAS/Park City mathematical subseries. ^A438916
Contents Differential equations and their solutions -- Linear differential equations -- Second-order ODE and calculus of variations -- Newtonian mechanics -- Numerical methods -- Appendix A: Linear algebra and analysis -- Appendix B: The magic of iteration -- Appendix C: Vector fields as differential operators -- Appendix D: Coordinate systems and canonical forms -- Appendix E: Parametrized curves and arclength -- Appendix F: Smoothness with respect to inital conditions -- Appendix G: Canonical form for linear operators -- Appendix H: Runge-Kutta methods -- Appendix I: Multistep methods -- Appendix J: Iterative interpolation and its error.
Bibliography noteIncludes bibliographical references and index.
LCCN 2009011294
ISBN9780821821381 (alk. paper)
ISBN0821821385 (alk. paper)