Differential equations, mechanics, and computation - Palais, Richard S.; Palais, Robert Andrew (Providence, R.I. : American Mathematical Society, 2012)
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.
Includes bibliographical references and index.
Keywords: Evolution equations; Differential equations, Linear -- Numerical solutions; Differential equations -- Numerical solutions; Mechanics