Differential equations, mechanics, and computation
Palais, Richard S.
Differential equations, mechanics, and computation Richard S. Palais, Robert A. Palais. - Providence, R.I. : American Mathematical Society , 2012. - xiii, 313 p. : ill. ; 22 cm. - Student mathematical library ; IAS/Park City mathematical subseries v. 51. . - Student mathematical library ; v. 51. Student mathematical library. IAS/Park City mathematical subseries. .
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) 0821821385 (alk. paper)
2009011294
Evolution equations.
Differential equations, Linear--Numerical solutions.
Differential equations--Numerical solutions.
Mechanics.
QA371 / .P34 2009
518.6 P172D
Differential equations, mechanics, and computation Richard S. Palais, Robert A. Palais. - Providence, R.I. : American Mathematical Society , 2012. - xiii, 313 p. : ill. ; 22 cm. - Student mathematical library ; IAS/Park City mathematical subseries v. 51. . - Student mathematical library ; v. 51. Student mathematical library. IAS/Park City mathematical subseries. .
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) 0821821385 (alk. paper)
2009011294
Evolution equations.
Differential equations, Linear--Numerical solutions.
Differential equations--Numerical solutions.
Mechanics.
QA371 / .P34 2009
518.6 P172D