Guide Mathematical and Computational Methods in Nuclear Physics

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Contents

  1. American Nuclear Society | M&C
  2. Computational Nuclear Physics 2

The chapters also contain sample input and test runs, as well as suggestions for further exploration.

Table of contents

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Nuclear Physics Problems Part 1

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FAQ Policy. About this book Computation is essential to our modern understanding of nuclear systems. Show all.

American Nuclear Society | M&C

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Since making that change he has published some papers on the numerical solution of integral equations, numerical integration and interpolation, boundary integral equations, approximation theory, continuous complexity theory, high dimensional integration, and other parts of numerical analysis and approximation theory. First, he is centrally involved with modern developments of high-dimensional integration and approximation.

Computational Nuclear Physics 2

This field was once the preserve of number theorists, but in recent decadesis attracting wide research interest as toolsare developed that can be applied to practical problems. High-dimensional problems that is problems with the number of continuous variables ranging from ten or twenty to the hundreds of thousands are increasingly encountered in practice. Some fields in which high-dimensional problems arise include mathematical finance; modelling of disease presentations in a community; and modelling the flow of subsurface water through a complex material considered as a random medium.

A general characteristic of high-dimensional problems is that they are hard! The workhorse for such problems is the Monte Carlo method, which relies on randomness, but while it is admirably robust and flexible, the Monte Carlo rate of convergence is often too slow. A central concern of this area of research might be said to be to devise methods that can be provedto be better than the Monte Carlo method for particular classes of problems.


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