Sparse grid quadrature in high dimensions with applications in finance and insurance

Author(s)

    • Holtz, Markus

Bibliographic Information

Sparse grid quadrature in high dimensions with applications in finance and insurance

Markus Holtz

(Lecture notes in computational science and engineering, 77)

Springer, c2011

Available at  / 2 libraries

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Note

Includes bibliographical references (p. 172-178) and index

Description and Table of Contents

Description

This book deals with the numerical analysis and efficient numerical treatment of high-dimensional integrals using sparse grids and other dimension-wise integration techniques with applications to finance and insurance. The book focuses on providing insights into the interplay between coordinate transformations, effective dimensions and the convergence behaviour of sparse grid methods. The techniques, derivations and algorithms are illustrated by many examples, figures and code segments. Numerical experiments with applications from finance and insurance show that the approaches presented in this book can be faster and more accurate than (quasi-) Monte Carlo methods, even for integrands with hundreds of dimensions.

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