Frontiers In Mathematical Analysis And Numerical Methods

Author : Li Tatsien
Publisher : World Scientific
Page : 308 pages
File Size : 48,7 Mb
Release : 2004-07-26
Category : Mathematics
ISBN : 9789814482141

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Frontiers in Mathematical Analysis and Numerical Methods by Li Tatsien Pdf

This invaluable 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, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc. Contents:Stable and Unstable Ideal Plane Flows (C Bardos et al.)Sensitivity of Darcy's Law to Discontinuities (C Bernardi & O Pironneau)Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations (J Byström et al.)On the Connection in Finsler Space (S S Chern)On the Classification of Initial Data for Nonlinear Wave Equations (C Gu)Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems (T Li & B Rao)On Nonlinear Differential Galois Theory (B Malgrange)Quadrilateral Mesh (P Ming & Z Shi)On the Hyperbolic Obstacle Problem of First Order (J F Rodrigues)and other articles Readership: Graduate students and researchers in applied mathematics, numerical analysis and applied science. Keywords:Partial Differential Equation;Differential Geometry;Numerical Method;Control Theory;Fluid Dynamics;Jacques-Louis LionsKey Features:Most of the articles are by well-known mathematiciansResults presented are important to analysis and numerical methodsContains an introduction to Jacques-Louis Lions

Author : James Blowey,Alan Craig,Tony Shardlow
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642556920

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Frontiers in Numerical Analysis by James Blowey,Alan Craig,Tony Shardlow Pdf

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.

Author : James Blowey,Max Jensen
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 49,5 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642239144

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Frontiers in Numerical Analysis - Durham 2010 by James Blowey,Max Jensen Pdf

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.

Author : Jacques-Louis Lions,Ta-ch'ien Li,Daqian Li
Publisher : World Scientific
Page : 316 pages
File Size : 53,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9812562265

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Frontiers in Mathematical Analysis and Numerical Methods by Jacques-Louis Lions,Ta-ch'ien Li,Daqian Li Pdf

This invaluable volume is a collection of articles in memory ofJacques-Louis Lions, a leading mathematician and the founder of theContemporary French Applied Mathematics School. The contributions havebeen written by his friends, colleagues and students, including CBardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc

Author : James Blowey,Max Jensen
Publisher : Springer
Page : 292 pages
File Size : 48,6 Mb
Release : 2012-01-29
Category : Mathematics
ISBN : 3642239153

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Frontiers in Numerical Analysis - Durham 2010 by James Blowey,Max Jensen Pdf

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.

Author : James Blowey,Alan Craig
Publisher : Springer
Page : 266 pages
File Size : 42,7 Mb
Release : 2009-09-02
Category : Computers
ISBN : 3540805338

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Frontiers of Numerical Analysis by James Blowey,Alan Craig Pdf

Author : Rajesh Kumar Sharma,Lorenzo Pareschi,Abdon Atangana,Bikash Sahoo,Vijay Kumar Kukreja
Publisher : Springer Nature
Page : 659 pages
File Size : 52,5 Mb
Release : 2023-02-02
Category : Mathematics
ISBN : 9789811972720

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Frontiers in Industrial and Applied Mathematics by Rajesh Kumar Sharma,Lorenzo Pareschi,Abdon Atangana,Bikash Sahoo,Vijay Kumar Kukreja Pdf

This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful.

Author : Rudolph Ernest Langer
Publisher : Unknown
Page : 144 pages
File Size : 50,9 Mb
Release : 1960
Category : Mathematics
ISBN : MINN:31951000474851A

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Frontiers of Numerical Mathematics by Rudolph Ernest Langer Pdf

Author : Kendall Atkinson,Weimin Han
Publisher : Springer Science & Business Media
Page : 583 pages
File Size : 44,5 Mb
Release : 2007-06-07
Category : Mathematics
ISBN : 9780387287690

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Theoretical Numerical Analysis by Kendall Atkinson,Weimin Han Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

Author : Sachin Bhalekar
Publisher : Bentham Science Publishers
Page : 381 pages
File Size : 49,5 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9781681085999

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Frontiers in Fractional Calculus by Sachin Bhalekar Pdf

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.

Author : Pingwen Zhang,Tatsien Li
Publisher : World Scientific
Page : 276 pages
File Size : 42,8 Mb
Release : 2006-04-17
Category : Mathematics
ISBN : 9789814478519

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Frontiers And Prospects Of Contemporary Applied Mathematics by Pingwen Zhang,Tatsien Li Pdf

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.

Author : Julia Di Nunno,Bernt Øksendal
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 54,7 Mb
Release : 2011-03-29
Category : Mathematics
ISBN : 9783642184123

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Advanced Mathematical Methods for Finance by Julia Di Nunno,Bernt Øksendal Pdf

This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.

Author : D. Trigiante
Publisher : Nova Publishers
Page : 364 pages
File Size : 43,5 Mb
Release : 2000
Category : Mathematics
ISBN : 156072885X

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Recent Trends in Numerical Analysis by D. Trigiante Pdf

The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.

Author : Zhilin Li,Kazufumi Ito
Publisher : SIAM
Page : 343 pages
File Size : 53,7 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898716092

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The Immersed Interface Method by Zhilin Li,Kazufumi Ito Pdf

"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.

Author : Guri I. Marchuk
Publisher : CRC Press
Page : 288 pages
File Size : 47,7 Mb
Release : 1994-03-22
Category : Mathematics
ISBN : 084938947X

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Numerical Methods and Applications by Guri I. Marchuk Pdf

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 encountered in problems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous data. These methods allow natural paralleling of algorithms and will find many applications in vector and parallel computers.