Mathematics

Numerical Analysis & Mathematical Computation

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Mathematica Beyond Mathematics: The Wolfram Language in the Real World

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José Guillermo Sánchez León
May 9, 2017

Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples, based on the experienc...

Exascale Scientific Applications: Scalability and Performance Portability

Tjerk P. Straatsma, Katerina B. Antypas, Timothy J. Williams
November 09, 2017

From the Foreword: "The authors of the chapters in this book are the pioneers who will explore the exascale frontier. The path forward will not be easy... These authors, along with their colleagues who will produce these powerful computer systems will, with dedication and determination, overcome...

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics

Kai Hormann, N. Sukumar
October 16, 2017

In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh...

Spectral Methods in Geodesy and Geophysics

Christopher Jekeli
September 28, 2017

The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The...

MATLAB® Essentials: A First Course for Engineers and Scientists

William Bober
September 01, 2017

All disciplines of science and engineering use numerical methods for complex problem analysis, due to the highly mathematical nature of the field. Analytical methods alone are unable to solve many complex problems engineering students and professionals confront. Introduction to MATLAB® Programming...

Computation with Linear Algebraic Groups

Willem Adriaan de Graaf
August 15, 2017

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with...

Mathematical Objects in C++: Computational Tools in A Unified Object-Oriented Approach

Yair Shapira
June 28, 2017

Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. Object-oriented implementation of three-dimensional meshes facilitates understanding...

Decomposition Methods for Differential Equations: Theory and Applications

Juergen Geiser
June 14, 2017

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and...

Numerical Techniques for Direct and Large-Eddy Simulations

Xi Jiang, Choi-Hong Lai
June 14, 2017

Compared to the traditional modeling of computational fluid dynamics, direct numerical simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the flow field by offering enhanced capability in predicting the unsteady features of the flow field. In many cases, DNS can...

Computational Methods for Numerical Analysis with R

James P Howard, II
June 08, 2017

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code....

Introduction to the Simulation of Dynamics Using Simulink

Michael A. Gray
June 07, 2017

Designed for undergraduate students in the general science, engineering, and mathematics community, Introduction to the Simulation of Dynamics Using Simulink® shows how to use the powerful tool of Simulink to investigate and form intuitions about the behavior of dynamical systems. Requiring no...

Scientific Computing with Multicore and Accelerators

Jakub Kurzak, David A. Bader, Jack Dongarra
June 07, 2017

The hybrid/heterogeneous nature of future microprocessors and large high-performance computing systems will result in a reliance on two major types of components: multicore/manycore central processing units and special purpose hardware/massively parallel accelerators. While these technologies have...

Handbook of Sinc Numerical Methods

Frank Stenger
May 31, 2017

Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems. Reflecting the author’s advances with Sinc since 1995, the text most notably provides a detailed exposition of the Sinc separation of variables method for numerically solving the full range of...

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