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Line Integral Methods for Conservative Problems
Paperback
ISBN13: 9780367377304
Publisher: CRC Press
Published: Sep 19 2019
Pages: 240
Weight: 0.85
Height: 0.50 Width: 6.00 Depth: 9.20
Language: English
This self-contained book explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book focuses on a large set of differential systems named conservative problems, particularly Hamiltonian systems. It covers the energy-conserving Runge-Kutta methods and discusses generalizations of them. MATLAB(R) codes for implementing the methods are available online.
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