Name: discrete hamiltonian systems
SKU: 3419700
Price: 9338.00 TWD
Availability: InStock
Author: peterson,ahlbrandt
ISBN: 9780792342779

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Type

Physical Book

Publisher

Springer

Author

peterson,ahlbrandt

Language

English

Pages

388

ISBN

0792342771

ISBN13

9780792342779

Synopsis "discrete hamiltonian systems"

this book explores several aspects of discrete hamiltonian systems. it is unique in that it provides interconnections between symplectic systems, recessive and dominant solutions, various discrete riccati equations, and continued fraction representations of solutions of riccati equations. it also presents variable step size discrete variational theory, a discrete legendre transformation from discrete euler-lagrange equations to discrete hamiltonian systems. novel use is made of the implicit function theorem to show the importance of step size in numerical solutions of hamiltonian systems. an `a priori step size criterion shows how one can avoid parasitic numerical solutions. this book is accessible to students of mathematics, engineering, physics, chemistry and economics at the senior or beginning graduate level who have completed a course in matrix theory. it provides foundation work for engineering students studying optimal control and estimation as well as the variational problems arising in physics, chemistry, and economics. audience: mathematics, engineering and physics students who have had a course in matrix theory.