Numerical Analysis & Mathematical Computation

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Mathematics at the Meridian: The History of Mathematics at Greenwich

1st Edition

Raymond Flood, Tony Mann, Mary Croarken
November 11, 2019

Greenwich has been a centre for scientific computing since the foundation of the Royal Observatory in 1675. Early Astronomers Royal gathered astronomical data with the purpose of enabling navigators to compute their longitude at sea.  Nevil Maskelyne in the 18th century   organised...

Spectral Methods Using Multivariate Polynomials On The Unit Ball

1st Edition

Kendall Atkinson, David Chien, Olaf Hansen
November 11, 2019

Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial...

Computational Partial Differential Equations Using MATLAB®

2nd Edition

Jichun Li, Yi-Tung Chen
October 11, 2019

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method,...

A Numerical Primer for the Chemical Engineer, Second Edition

2nd Edition

Edwin Zondervan
August 27, 2019

Designed as an introduction to numerical methods for students, this book combines mathematical correctness with numerical performance, and concentrates on numerical methods and problem solving. It applies actual numerical solution strategies to formulated process models to help identify and solve...

Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle: with Applications to Unitary Operators in Hilbert Spaces

1st Edition

Silvestru Sever Dragomir
August 12, 2019

The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers. The fundamental tools to obtain these results are provided by some new Riemann-Stieltjes integral inequalities...

Mathematical Theory of Subdivision: Finite Element and Wavelet Methods

1st Edition

Sandeep Kumar, Ashish Pathak, Debashis Khan
July 12, 2019

This book provides good coverage of the powerful numerical techniques namely, finite element and wavelets, for the solution of partial differential equation to the scientists and engineers with a modest mathematical background. The objective of the book is to provide the necessary mathematical...

Advanced Problem Solving with Maple: A First Course

1st Edition

William P. Fox, William C. Bauldry
May 24, 2019

Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to...

Revival: Numerical Solution Of Convection-Diffusion Problems (1996)

1st Edition

K.W. Morton
January 29, 2019

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be...

Revival: Numerical Methods and Applications (1994)

1st Edition

Guri I Marchuk
January 25, 2019

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...

Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications

1st Edition

Francisco J. Sayas, Thomas S. Brown, Matthew E. Hassell
January 25, 2019

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations. Beginning with the...

MATLAB Handbook with Applications to Mathematics, Science, Engineering, and Finance

1st Edition

Jose Miguel David Baez-Lopez, David Alfredo Baez Villegas
January 15, 2019

The purpose of this handbook is to allow users to learn and master the mathematics software package MATLAB®, as well as to serve as a quick reference to some of the most used instructions in the package. A unique feature of this handbook is that it can be used by the novice and by experienced users...

Computer Algebra: Concepts and Techniques

1st Edition

Edmund A. Lamagna
December 18, 2018

The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are...