Frontiers in Mathematical Analysis and Numerical Methods

Frontiers in Mathematical Analysis and Numerical Methods PDF Author: Jacques-Louis Lions
Publisher: World Scientific
ISBN: 9812389415
Category : Mathematics
Languages : en
Pages : 306

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Book Description
This volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.

Frontiers in Mathematical Analysis and Numerical Methods

Frontiers in Mathematical Analysis and Numerical Methods PDF Author: Jacques-Louis Lions
Publisher: World Scientific
ISBN: 9812389415
Category : Mathematics
Languages : en
Pages : 306

Get Book Here

Book Description
This volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.

Frontiers in Numerical Analysis

Frontiers in Numerical Analysis PDF Author: James Blowey
Publisher: Springer Science & Business Media
ISBN: 3642556922
Category : Mathematics
Languages : en
Pages : 362

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Book Description
A set of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area. Detailed proofs of key results are provided. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians.

Frontiers in Numerical Analysis - Durham 2010

Frontiers in Numerical Analysis - Durham 2010 PDF Author: James Blowey
Publisher: Springer Science & Business Media
ISBN: 3642239145
Category : Mathematics
Languages : en
Pages : 298

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Book Description
This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.

Frontiers in Numerical Analysis - Durham 2010

Frontiers in Numerical Analysis - Durham 2010 PDF Author: James Blowey
Publisher: Springer
ISBN: 9783642239151
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.

The Graduate Student’s Guide to Numerical Analysis ’98

The Graduate Student’s Guide to Numerical Analysis ’98 PDF Author: Mark Ainsworth
Publisher: Springer Science & Business Media
ISBN: 3662039729
Category : Mathematics
Languages : en
Pages : 262

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Book Description
Detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics, with each set of notes presenting a self-contained guide to a current research area and supplemented by an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. They start from a level suitable for first year graduates in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Readers will thus quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described, and directions for future research given.

Frontiers of Numerical Analysis

Frontiers of Numerical Analysis PDF Author: James Blowey
Publisher: Springer
ISBN: 9783540805335
Category : Computers
Languages : en
Pages : 266

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Book Description


Mathematical Analysis and Numerical Methods for Science and Technology

Mathematical Analysis and Numerical Methods for Science and Technology PDF Author: Robert Dautray
Publisher: Springer Science & Business Media
ISBN: 3642615279
Category : Mathematics
Languages : en
Pages : 734

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Book Description
These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.

Frontiers of Numerical Mathematics

Frontiers of Numerical Mathematics PDF Author: Rudolph Ernest Langer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144

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Book Description


Frontiers in Fractional Calculus

Frontiers in Fractional Calculus PDF Author: Sachin Bhalekar
Publisher: Bentham Science Publishers
ISBN: 1681085992
Category : Mathematics
Languages : en
Pages : 381

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Book Description
This book brings together eleven topics on different aspects of fractional calculus in a single volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics and applications. The information in the book is presented in four parts: 1. Fractional Diffusion Equations: (i) solutions of fractional diffusion equations using wavelet methods, (ii) the maximum principle for time fractional diffusion equations, (iii) nonlinear sub-diffusion equations. 2. Mathematical Analysis: (i) shifted Jacobi polynomials for solving and identifying coupled fractional delay differential equations, (ii) the monotone iteration principle in the theory of Hadamard fractional delay differential equations, (iii) dynamics of fractional order modified Bhalekar-Gejji System, (iv) Grunwald-Letnikov derivatives. 3. Computational Techniques: GPU computing of special mathematical functions used in fractional calculus. 4. Reviews: (i) the popular iterative method NIM, (ii) fractional derivative with non-singular kernels, (iii) some open problems in fractional order nonlinear system This is a useful reference for researchers and graduate level mathematics students seeking knowledge about of fractional calculus and applied mathematics.

Numerical Analysis of Spectral Methods

Numerical Analysis of Spectral Methods PDF Author: David Gottlieb
Publisher: SIAM
ISBN: 0898710235
Category : Technology & Engineering
Languages : en
Pages : 167

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Book Description
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.