Line Integral Methods for Conservative Problems - Felice Iavernaro,Luigi Brugnano
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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 s ... Full description
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Description
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® codes for implementing the methods are available online.
More Information
| Author | Felice Iavernaro, Luigi Brugnano |
|---|---|
| Publisher | CRC Press |
| Release year | 2015 |
| Cover type | Hardcover |
| EAN | 9781482263848 |