Topic
Mathematical Computing
About: Mathematical Computing is a research topic. Over the lifetime, 85 publications have been published within this topic receiving 14682 citations.
Papers published on a yearly basis
Papers
Book•
31 Jan 1986TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
Abstract: From the Publisher:
This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, this book is more than ever the most practical, comprehensive handbook of scientific computing available today. The book retains the informal, easy-to-read style that made the first edition so popular, with many new topics presented at the same accessible level. In addition, some sections of more advanced material have been introduced, set off in small type from the main body of the text. Numerical Recipes is an ideal textbook for scientists and engineers and an indispensable reference for anyone who works in scientific computing. Highlights of the new material include a new chapter on integral equations and inverse methods; multigrid methods for solving partial differential equations; improved random number routines; wavelet transforms; the statistical bootstrap method; a new chapter on "less-numerical" algorithms including compression coding and arbitrary precision arithmetic; band diagonal linear systems; linear algebra on sparse matrices; Cholesky and QR decomposition; calculation of numerical derivatives; Pade approximants, and rational Chebyshev approximation; new special functions; Monte Carlo integration in high-dimensional spaces; globally convergent methods for sets of nonlinear equations; an expanded chapter on fast Fourier methods; spectral analysis on unevenly sampled data; Savitzky-Golay smoothing filters; and two-dimensional Kolmogorov-Smirnoff tests. All this is in addition to material on such basic top
20,527 citations
Book•
24 Nov 2009
TL;DR: This book covers basic random generation algorithms, Monte Carlo techniques for integration and optimization, convergence diagnoses, Markov chain Monte Carlo methods, including Metropolis {Hastings and Gibbs algorithms, and adaptive algorithms.
Abstract: Solutions des exercices proposes dans cet ouvrage librement accessibles a http://fr.arxiv.org/abs/1001.2906
475 citations
Journal Article•
TL;DR: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive.
Abstract: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. American Association for the Advancement of Science is collaborating with JSTOR to digitize, preserve and extend access to Science.
268 citations
27 Jun 2005
TL;DR: This work discusses the approaches the projects have taken to parallelize MATLAB, and describes innovative features in some of the parallel MATLAB projects, and gives an example of what it thinks is a "right" parallel MATLab.
Abstract: MATLAB is one of the most widely used mathematical computing environments in technical computing. It is an interactive environment that provides high-performance computational routines and an easy-to-use, C-like scripting language. It started out as an interactive interface to EISPACK and LINPACK and has remained a serial program. In 1995, C. Moler of Mathworks argued that there was no market at the time for a parallel MATLAB. But times have changed and we are seeing increasing interest in developing a parallel MATLAB, from both academic and commercial sectors. In a recent survey, 27 parallel MATLAB projects have been identified. We expand upon that survey and discuss the approaches the projects have taken to parallelize MATLAB. Also, we describe innovative features in some of the parallel MATLAB projects. Then we will conclude with an idea of a "right" parallel MATLAB. Finally we will give an example of what we think is a "right" parallel MATLAB: MATLAB*P.
176 citations
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1 Jan 1992
TL;DR: This paper provides a brief overview of the significant new features and capabilities of the Version 3 (both 3.0 and 3.1) of S-PLUS.
Abstract: S-PLUS is a very modern interactive language and system for graphical data analysis, statistical modeling and mathematical computing. This paper provides a brief overview of the significant new features and capabilities of the Version 3 (both 3.0 and 3.1) of S-PLUS.
156 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 3 |
| 2020 | 2 |
| 2019 | 1 |
| 2015 | 3 |
| 2014 | 4 |
| 2013 | 2 |