Multi-dimensional Monte Carlo Integrations Utilizing Mathematica (Paperback)
Sujaul Chowdhury
ISBN 13: 9798337089232
Published by American Academic Press, 2025
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Paperback. This book provides practical, hands-on demonstration of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated a large number of multi-dimensional definite integrals using Monte Carlo method. These are 2, 3, 5, 7 and 10 dimensional definite integrals. We have used mean value method for the evaluations. We have performed function evaluations at random values of the variables gathered as uniform random variates using inverse transform sampling method. We have performed symbolic computations using programs written in Mathematica. Very much smaller number of function evaluations is found to lead to much lower error compared to the case with uniform, non-random sampling i.e. without using Monte Carlo method. This is consistent with what we often hear about a virtue of Monte Carlo method in evaluating multi-dimensional or high-dimensional definite integrals. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9798337089232
Synopsis:
This book provides practical, hands-on demonstration of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated a large number of multi-dimensional definite integrals using Monte Carlo method. These are 2, 3, 5, 7 and 10 dimensional definite integrals. We have used mean value method for the evaluations. We have performed function evaluations at random values of the variables gathered as uniform random variates using inverse transform sampling method. We have performed symbolic computations using programs written in Mathematica. Very much smaller number of function evaluations is found to lead to much lower error compared to the case with uniform, non-random sampling i.e. without using Monte Carlo method. This is consistent with what we often hear about a virtue of Monte Carlo method in evaluating multi-dimensional or high-dimensional definite integrals.
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Bibliographic Details
Title: Multi-dimensional Monte Carlo Integrations ...
Publisher: American Academic Press
Publication Date: 2025
Binding: Paperback
Condition: new
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Acceptance-Rejection Sampling and Multi-dimensional Monte Carlo Integrations Utilizing Mathematica(R) (Paperback)
Print on DemandSeller: Grand Eagle Retail, Bensenville, IL, U.S.A.
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Paperback. Condition: new. Paperback. We have chosen suitable multi-variable probability density functions and obtained corresponding random variates using the random sampling method called acceptance-rejection method. This book provides hands-on and practical demonstrations of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated 2, 3, 5, 7 and 10 dimensional definite integrals. We performed symbolic computations using programs written in Mathematica(R), in which we performed the variate sampling and evaluated the integrals. The book is self-contained. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9798337089294
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Multi-dimensional Monte Carlo Integrations Utilizing Mathematica (Paperback)
Print on DemandSeller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. This book provides practical, hands-on demonstration of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated a large number of multi-dimensional definite integrals using Monte Carlo method. These are 2, 3, 5, 7 and 10 dimensional definite integrals. We have used mean value method for the evaluations. We have performed function evaluations at random values of the variables gathered as uniform random variates using inverse transform sampling method. We have performed symbolic computations using programs written in Mathematica. Very much smaller number of function evaluations is found to lead to much lower error compared to the case with uniform, non-random sampling i.e. without using Monte Carlo method. This is consistent with what we often hear about a virtue of Monte Carlo method in evaluating multi-dimensional or high-dimensional definite integrals. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9798337089232
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Acceptance-Rejection Sampling and Multi-dimensional Monte Carlo Integrations Utilizing Mathematica(R) (Paperback)
Print on DemandSeller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. We have chosen suitable multi-variable probability density functions and obtained corresponding random variates using the random sampling method called acceptance-rejection method. This book provides hands-on and practical demonstrations of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated 2, 3, 5, 7 and 10 dimensional definite integrals. We performed symbolic computations using programs written in Mathematica(R), in which we performed the variate sampling and evaluated the integrals. The book is self-contained. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9798337089294
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Multi-dimensional Monte Carlo Integrations Utilizing Mathematica (Paperback)
Print on DemandSeller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. This book provides practical, hands-on demonstration of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated a large number of multi-dimensional definite integrals using Monte Carlo method. These are 2, 3, 5, 7 and 10 dimensional definite integrals. We have used mean value method for the evaluations. We have performed function evaluations at random values of the variables gathered as uniform random variates using inverse transform sampling method. We have performed symbolic computations using programs written in Mathematica. Very much smaller number of function evaluations is found to lead to much lower error compared to the case with uniform, non-random sampling i.e. without using Monte Carlo method. This is consistent with what we often hear about a virtue of Monte Carlo method in evaluating multi-dimensional or high-dimensional definite integrals. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9798337089232
Buy New
US$ 61.37
Shipping:
US$ 48.47
From United Kingdom to U.S.A.
Quantity: 1 available
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Acceptance-Rejection Sampling and Multi-dimensional Monte Carlo Integrations Utilizing Mathematica(R) (Paperback)
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. We have chosen suitable multi-variable probability density functions and obtained corresponding random variates using the random sampling method called acceptance-rejection method. This book provides hands-on and practical demonstrations of evaluation of multi-dimensional or high-dimensional definite integrals using Monte Carlo method. We have evaluated 2, 3, 5, 7 and 10 dimensional definite integrals. We performed symbolic computations using programs written in Mathematica(R), in which we performed the variate sampling and evaluated the integrals. The book is self-contained. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9798337089294