Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance

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 tran...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Holtz, Markus (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Σειρά:Lecture Notes in Computational Science and Engineering, 77
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance  |h [electronic resource] /  |c by Markus Holtz. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2011. 
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490 1 |a Lecture Notes in Computational Science and Engineering,  |x 1439-7358 ;  |v 77 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Economics, Mathematical. 
650 0 |a Computer mathematics. 
650 1 4 |a Mathematics. 
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650 2 4 |a Quantitative Finance. 
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830 0 |a Lecture Notes in Computational Science and Engineering,  |x 1439-7358 ;  |v 77 
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