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...

Introduction to Mathematical Modeling and Computer Simulations

Vladimir Mityushev, Wojciech Nawalaniec, Natalia Rylko
February 23, 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...

Numerical Methods and Applications (1994)

Guri I Marchuk
September 28, 2017

This book presents new original numerical methods that have been developed to the stage of concrete algorithms and successfully applied to practical problems in mathematical physics. The book discusses new methods for solving stiff systems of ordinary differential equations, stiff elliptic problems...

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 11, 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...

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