Pratibhamoy Das

Simulations of Hamilton-Jacobi Equation with Application on Finance

Basics, Theoretical Aspects, Numerical Methods, Real Life Applications

• Broschiertes Buch

Produktbeschreibung

The Hamilton-Jacobi equation arises in a variety of applications such as optimal control, game theory, geometric optics, front propagation and finance. The Hamilton-Jacobi equation is also one of the formulation of classical mechanics in which the motion of a particle can be represented as a wave. This book involves the theoretical aspects of the Hamilton-Jacobi equation and its associated system of conservation law with their numerical simulation. First, the existence and uniqueness of the solution of conservation law is considered in weak sense. This idea is used to relate the existence and uniqueness for the Hamilton-Jacobi equations as it is a particular case of conservation law. The classical numerical schemes and their properties are introduced for the purpose of numerical experiments. An application of this in finance through Black-Scholes equation is considered.

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Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 64
• Erscheinungstermin: 2. März 2013
• Englisch
• Abmessung: 220mm x 150mm x 4mm
• Gewicht: 113g
• ISBN-13: 9783659358357
• ISBN-10: 3659358355
• Artikelnr.: 37463777

Autorenporträt

Pratibhamoy Das is a researcher of IIT Guwahati, India. He did his master from IIT Bombay, India. His main interests are the numerical simulations of multi-scale problems by moving mesh methods and hyperbolic PDEs. He received several awards for e.g., Young Scientist Award, 100th Indian Science Congress, NBHM Research Grant Award, etc.