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 22, 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...

Genetic Algorithms and Genetic Programming: Modern Concepts and Practical Applications

Michael Affenzeller, Stefan Wagner, Stephan Winkler, Andreas Beham
April 16, 2018

Genetic Algorithms and Genetic Programming: Modern Concepts and Practical Applications discusses algorithmic developments in the context of genetic algorithms (GAs) and genetic programming (GP). It applies the algorithms to significant combinatorial optimization problems and describes structure...

A Mathematica Primer for Physicists

Jim Napolitano
March 28, 2018

"…an excellent text for either a short course or self-study… Professor Napolitano has figured out what students really need, and found a way to deliver it… I have found everything he writes to be worthy of my serious attention…" —Peter D. Persans, Professor of Physics and Director, Center for...

Differential Equations: A Problem Solving Approach Based on MATLAB

P. Mohana Shankar
March 28, 2018

The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions...

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Daniele Bertaccini, Fabio Durastante
February 28, 2018

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the...

Parallel Programming for Modern High Performance Computing Systems

Pawel Czarnul
February 28, 2018

In view of the growing presence and popularity of multicore and manycore processors, accelerators, and coprocessors, as well as clusters using such computing devices, the development of efficient parallel applications has become a key challenge to be able to exploit the performance of such systems....

Introduction to Mathematical Modeling and Computer Simulations

Vladimir Mityushev, Wojciech Nawalaniec, Natalia Rylko
February 26, 2018

Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced...

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Santanu Saha Ray, Arun Kumar Gupta
January 31, 2018

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical...

Computation of Generalized Matrix Inverses and Applications

Ivan Stanimirović
December 13, 2017

This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra. The...

Numerical Methods for Differential Equations: A Computational Approach

J.R. Dormand
December 13, 2017

With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All...

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...

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