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Elements Of Numerical Analysis With Mathematica

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Elements Of Numerical Analysis With Mathematica

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Author : John Loustau
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-08-23

Elements Of Numerical Analysis With Mathematica written by John Loustau and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.

Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.

Elements Of Numerical Analysis With Mathematica

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Author : John Loustau
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-08-24

Process Modelling And Simulation With Finite Element Methods

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Author : William B. J. Zimmerman
language : en
Publisher: World Scientific
Release Date : 2004

Process Modelling And Simulation With Finite Element Methods written by William B. J. Zimmerman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

This book presents a systematic description and case studies of chemical engineering modelling and simulation based on the MATLAB/FEMLAB tools, in support of selected topics in undergraduate and postgraduate programmes that require numerical solution of complex balance equations (ordinary differential equations, partial differential equations, nonlinear equations, integro-differential equations). These systems arise naturally in analysis of transport phenomena, process systems, chemical reactions and chemical thermodynamics, and particle rate processes. Templates are given for modelling both state-of-the-art research topics (e.g. microfluidic networks, film drying, multiphase flow, population balance equations) and case studies of commonplace design calculations -- mixed phase reactor design, heat transfer, flowsheet analysis of unit operations, flash distillations, etc. The great strength of this book is that it makes modelling and simulating in the MATLAB/FEMLAB environment approachable to both the novice and the expert modeller.

Frontiers In Mathematical Analysis And Numerical Methods In Memory Of Jacques Louis Lions

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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 2004-07-26

Frontiers In Mathematical Analysis And Numerical Methods In Memory Of Jacques Louis Lions written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-26 with Mathematics categories.

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.

Advanced Mathematical Tools In Metrology Proceedings Of The International Workshop

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Author : Nicola Bellomo
language : en
Publisher: World Scientific
Release Date : 1994-05-18

Advanced Mathematical Tools In Metrology Proceedings Of The International Workshop written by Nicola Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-18 with categories.

Since its reform and opening up, China has experienced unprecedented social and economic development. It is important to understand the biggest and fastest growing economy's policy and strategy. As a key director in Party School of the Central Committee of the Communist Party of China, the author proposes a development path and reform strategies for China in the next three decades.This book suggests reform strategies not only for the economic structure but also for the political system in China. The author makes a sound analysis and exposition of “Chinese dream”, which reflects the vision of a better life in the future and the main indicators of social change. The book investigates China's development path, political system, economic structure, people's livelihood etc and suggests long-term strategies for China in this regard.

Numerical Algorithms

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Author : Justin Solomon
language : en
Publisher: CRC Press
Release Date : 2015-06-24

Numerical Algorithms written by Justin Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Computers categories.

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

An Introduction To The Mathematical Theory Of Finite Elements

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Author : J. T. Oden
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23

An Introduction To The Mathematical Theory Of Finite Elements written by J. T. Oden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Technology & Engineering categories.

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Spectral Methods

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Author : Jie Shen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-25

Spectral Methods written by Jie Shen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Mathematics categories.

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Numerical Analysis And Its Applications

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Author : Ivan Dimov
language : en
Publisher: Springer
Release Date : 2013-10-01

Numerical Analysis And Its Applications written by Ivan Dimov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-01 with Computers categories.

This book constitutes thoroughly revised selected papers of the 5th International Conference on Numerical Analysis and Its Applications, NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised papers presented were carefully reviewed and selected from various submissions. The papers cover a broad area of topics of interest such as numerical approximation and computational geometry; numerical linear algebra and numerical solution of transcendental equation; numerical methods for differential equations; numerical stochastics, numerical modeling; and high performance scientific computing.

Mathematical Theory Of Subdivision

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Author : Sandeep Kumar
language : en
Publisher: CRC Press
Release Date : 2019-07-09

Mathematical Theory Of Subdivision written by Sandeep Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-09 with Mathematics categories.

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 foundation for the advanced level applications of these numerical techniques. The book begins with the description of the steps involved in finite element and wavelets-Galerkin methods. The knowledge of Hilbert and Sobolev spaces is needed to understand the theory of finite element and wavelet-based methods. Therefore, an overview of essential content such as vector spaces, norm, inner product, linear operators, spectral theory, dual space, and distribution theory, etc. with relevant theorems are presented in a coherent and accessible manner. For the graduate students and researchers with diverse educational background, the authors have focused on the applications of numerical techniques which are developed in the last few decades. This includes the wavelet-Galerkin method, lifting scheme, and error estimation technique, etc. Features: • Computer programs in Mathematica/Matlab are incorporated for easy understanding of wavelets. • Presents a range of workout examples for better comprehension of spaces and operators. • Algorithms are presented to facilitate computer programming. • Contains the error estimation techniques necessary for adaptive finite element method. This book is structured to transform in step by step manner the students without any knowledge of finite element, wavelet and functional analysis to the students of strong theoretical understanding who will be ready to take many challenging research problems in this area.

Elements Of Numerical Analysis With Mathematica

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