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Applied Analysis And Differential Equations


Applied Analysis And Differential Equations
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Applied Analysis And Differential Equations


Applied Analysis And Differential Equations
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Author : Ovidiu Carja
language : en
Publisher: World Scientific
Release Date : 2007-03-27

Applied Analysis And Differential Equations written by Ovidiu Carja and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-27 with Mathematics categories.


This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.



Topics In Applied Analysis And Optimisation


Topics In Applied Analysis And Optimisation
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Author : Michael Hintermüller
language : en
Publisher: Springer Nature
Release Date : 2019-11-27

Topics In Applied Analysis And Optimisation written by Michael Hintermüller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.


This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.



Applied Analysis Of Ordinary Differential Equations


Applied Analysis Of Ordinary Differential Equations
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Author : Sanjeeva Balasuriya
language : en
Publisher: MDPI
Release Date : 2019-11-14

Applied Analysis Of Ordinary Differential Equations written by Sanjeeva Balasuriya and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Science categories.


One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models—for example, when considering the evolution of a probability density function—and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications.



Applied Analysis


Applied Analysis
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Author : Takasi Senba
language : en
Publisher: World Scientific
Release Date : 2010

Applied Analysis written by Takasi Senba and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution.



Applied Analysis Of Ordinary Differential Equations


Applied Analysis Of Ordinary Differential Equations
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Author : Sanjeeva Balasuriya
language : en
Publisher:
Release Date : 2019

Applied Analysis Of Ordinary Differential Equations written by Sanjeeva Balasuriya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.


One might say that ordinary differential equations (notably, in Isaac Newton's analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change. ODEs also emerge in stochastic models--for example, when considering the evolution of a probability density function--and in large networks of interconnected agents. The increasing ease of numerically simulating large systems of ODEs has resulted in a plethora of publications in this area; nevertheless, the difficulty of parametrizing models means that the computational results by themselves are sometimes questionable. Therefore, analysis cannot be ignored. This book comprises articles that possess both interesting applications and the mathematical analysis driven by such applications.



Applied Analysis


Applied Analysis
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Author : John K Hunter
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-02-28

Applied Analysis written by John K Hunter 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 2001-02-28 with Mathematics categories.


This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor.The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.



Applied Analysis Of The Navier Stokes Equations


Applied Analysis Of The Navier Stokes Equations
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Author : Charles R. Doering
language : en
Publisher: Cambridge University Press
Release Date : 1995

Applied Analysis Of The Navier Stokes Equations written by Charles R. Doering and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.



Abstract And Applied Analysis


Abstract And Applied Analysis
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Author : N. M. Chuong
language : en
Publisher: World Scientific
Release Date : 2004

Abstract And Applied Analysis written by N. M. Chuong 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 History categories.


This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences



Applied Analysis


Applied Analysis
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01

Applied Analysis written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.


Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.



Handbook Of Applied Analysis


Handbook Of Applied Analysis
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Author : Nikolaos S. Papageorgiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-31

Handbook Of Applied Analysis written by Nikolaos S. Papageorgiou 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 2009-05-31 with Mathematics categories.


This handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It details many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features make the volume a valuable tool for every researcher working on nonlinear analysis.