Differential equations, mechanics, and computation /
Palais, Richard S.
Differential equations, mechanics, and computation / by Richard S. Palais, Robert A. Palais. - New Delhi : Bab Barkha, 2012 - v, 313 p. : ill. ; 22 cm. - Student mathematical library ; IAS/Park City mathematical subseries v. 51. .
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.
9780821887356(pbk)
2009011294
Evolution equations.
Differential equations, Linear--Numerical solutions.
Differential equations--Numerical solutions.
Mechanics.
518 / PAL-D 2012 3884
Differential equations, mechanics, and computation / by Richard S. Palais, Robert A. Palais. - New Delhi : Bab Barkha, 2012 - v, 313 p. : ill. ; 22 cm. - Student mathematical library ; IAS/Park City mathematical subseries v. 51. .
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.
9780821887356(pbk)
2009011294
Evolution equations.
Differential equations, Linear--Numerical solutions.
Differential equations--Numerical solutions.
Mechanics.
518 / PAL-D 2012 3884