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Line Integral Methods for Conservative Problems
Engelsk
Bogcover for Line Integral Methods for Conservative Problems af Luigi Brugnano, Felice Iavernaro, 9780367377304
Specifikationer
Sprog:
Engelsk
Sider:
240
ISBN-13:
9780367377304
Indbinding:
Paperback
ISBN-10:
0367377306
Udg. Dato:
19 sep 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
19 sep 2019

Line Integral Methods for Conservative Problems

Engelsk
Paperback 2019
Format:

Bog beskrivelse

Line Integral Methods for Conservative Problems 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.

Assuming only basic knowledge of numerical quadrature and Runge–Kutta methods, this self-contained book begins with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered in a variety of applications and presents theoretical results concerning the main instance of line integral methods: the energy-conserving Runge–Kutta methods, also known as Hamiltonian boundary value methods (HBVMs). The authors go on to address the implementation of HBVMs in order to recover in the numerical solution what was expected from the theory. The book also covers the application of HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions of the energy-conserving methods.

With many examples of applications, this book provides an accessible guide to the subject yet gives you enough details to allow concrete use of the methods. MATLAB codes for implementing the methods are available online.

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Specifikationer
Sprog:
Engelsk
Sider:
240
ISBN-13:
9780367377304
Indbinding:
Paperback
ISBN-10:
0367377306
Udg. Dato:
19 sep 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
19 sep 2019
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