TY - BOOK AU - Palais,Richard S. AU - Palais,Robert Andrew TI - Differential equations, mechanics, and computation T2 - Student mathematical library SN - 9780821887356 (pbk) AV - QA371 .P34 2009 U1 - 518.6 P172D 23 PY - 2012/// CY - Providence, R.I. PB - American Mathematical Society KW - Evolution equations KW - Differential equations, Linear KW - Numerical solutions KW - Differential equations KW - Mechanics N1 - Includes bibliographical references and index; 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 ER -