Frontiers And Prospects Of Contemporary Applied Mathematics

Frontiers And Prospects Of Contemporary Applied Mathematics PDF Author: Pingwen Zhang
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276

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Book Description
This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.

Optimization Software Guide

Optimization Software Guide PDF Author: Jorge J. More
Publisher: SIAM
ISBN: 0898713226
Category : Mathematics
Languages : en
Pages : 149

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Book Description
Mathematics of Computing -- Numerical Analysis.

Iterative Methods for Optimization

Iterative Methods for Optimization PDF Author: C. T. Kelley
Publisher: SIAM
ISBN: 9781611970920
Category : Mathematics
Languages : en
Pages : 195

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Book Description
This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.

Frontiers of Applied Mathematics

Frontiers of Applied Mathematics PDF Author: Din-Yu Hsieh
Publisher: World Scientific
ISBN: 9812770453
Category : Mathematics
Languages : en
Pages : 236

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Book Description
This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter dynamics, star formation, solitary waves, photonics, and nonlinear light propagation in periodic media. The contributions are written for a general audience, and the authors have included references for further reading.

Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform PDF Author: Charles Van Loan
Publisher: SIAM
ISBN: 0898712858
Category : Mathematics
Languages : en
Pages : 285

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Book Description
The author captures the interplay between mathematics and the design of effective numerical algorithms.

Mathematical Modeling in Optical Science

Mathematical Modeling in Optical Science PDF Author: Gang Bao
Publisher: SIAM
ISBN: 9780898717594
Category : Science
Languages : en
Pages : 349

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Book Description
This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers.

Computational Methods for Inverse Problems

Computational Methods for Inverse Problems PDF Author: Curtis R. Vogel
Publisher: SIAM
ISBN: 0898717574
Category : Mathematics
Languages : en
Pages : 195

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Book Description
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

The Mathematics of Reservoir Simulation

The Mathematics of Reservoir Simulation PDF Author: Richard E. Ewing
Publisher: SIAM
ISBN: 0898716624
Category : Science
Languages : en
Pages : 195

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Book Description
This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.

Mathematics: Frontiers and Perspectives

Mathematics: Frontiers and Perspectives PDF Author: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
ISBN: 9780821826973
Category : Mathematics
Languages : en
Pages : 476

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Book Description
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.

Handbook for Matrix Computations

Handbook for Matrix Computations PDF Author: Thomas F. Coleman
Publisher: SIAM
ISBN: 0898712270
Category : Mathematics
Languages : en
Pages : 265

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Book Description
Mathematics of Computing -- Numerical Analysis.