Hot Equations

Author : Ganji, Davood Domiri,Talarposhti, Roghayeh Abbasi
Publisher : IGI Global
Page : 275 pages
File Size : 50,7 Mb
Release : 2017-07-26
Category : Technology & Engineering
ISBN : 9781522527145

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Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer by Ganji, Davood Domiri,Talarposhti, Roghayeh Abbasi Pdf

Engineering applications offer benefits and opportunities across a range of different industries and fields. By developing effective methods of analysis, results and solutions are produced with higher accuracy. Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer is an innovative source of academic research on the optimized techniques for analyzing heat transfer equations and the application of these methods across various fields. Highlighting pertinent topics such as the differential transformation method, industrial applications, and the homotopy perturbation method, this book is ideally designed for engineers, researchers, graduate students, professionals, and academics interested in applying new mathematical techniques in engineering sciences.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,7 Mb
Release : 2024-06-23
Category : Electronic
ISBN : 9789814464994

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Analysis of Singularities for Partial Differential Equations by Anonim Pdf

Author : Gisele Ruiz Goldstein,Rainer Nagel,Silvia Romanelli
Publisher : CRC Press
Page : 440 pages
File Size : 54,7 Mb
Release : 2019-04-24
Category : Mathematics
ISBN : 9781482275957

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Evolution Equations by Gisele Ruiz Goldstein,Rainer Nagel,Silvia Romanelli Pdf

Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li

Author : Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea
Publisher : CRC Press
Page : 434 pages
File Size : 42,6 Mb
Release : 2012-11-05
Category : Mathematics
ISBN : 9780203562338

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Numerical Methods for Hyperbolic Equations by Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea Pdf

Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover

Author : Anonim
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 44,6 Mb
Release : 2005
Category : Mathematics
ISBN : 0821839276

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Selected Papers on Differential Equations and Analysis by Anonim Pdf

This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics, including differential equations with free boundary, singular integral operators, operator algebras, and relations between the Brownian motion on a manifold with function theory. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations."

Author : Michael Shearer,Rachel Levy
Publisher : Princeton University Press
Page : 287 pages
File Size : 43,9 Mb
Release : 2015-03-01
Category : Mathematics
ISBN : 9781400866601

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Partial Differential Equations by Michael Shearer,Rachel Levy Pdf

An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

Author : Peter J. Olver
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 41,6 Mb
Release : 2013-11-08
Category : Mathematics
ISBN : 9783319020990

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Introduction to Partial Differential Equations by Peter J. Olver Pdf

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

Author : J Robert Buchanan,Zhoude Shao
Publisher : World Scientific Publishing Company
Page : 624 pages
File Size : 53,9 Mb
Release : 2017-10-30
Category : Mathematics
ISBN : 9789813226456

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A First Course in Partial Differential Equations by J Robert Buchanan,Zhoude Shao Pdf

Resources for instructors who adopt this textbook:Lecture SlidesInstructors' Manual (complete solutions and supporting work)Students' Manual (final answers to computational exercises) Kindly send your requests to sales@wspc.com. This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm–Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs. The lecture slides, instructors' manual and students' manual is available upon request for all instructors who adopt this book as a course text. Please send your request to sales@wspc.com.

Author : D.L. Ingram,L.E. Mount
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9781461393689

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Man and Animals in Hot Environments by D.L. Ingram,L.E. Mount Pdf

Author : Glenn Fulford,Peter Forrester,Arthur Jones
Publisher : Cambridge University Press
Page : 420 pages
File Size : 44,9 Mb
Release : 1997-06-12
Category : Mathematics
ISBN : 052144618X

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Modelling with Differential and Difference Equations by Glenn Fulford,Peter Forrester,Arthur Jones Pdf

Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.

Author : Carlos A. Smith,Scott W. Campbell
Publisher : CRC Press
Page : 344 pages
File Size : 45,9 Mb
Release : 2011-05-18
Category : Mathematics
ISBN : 9781439850886

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A First Course in Differential Equations, Modeling, and Simulation by Carlos A. Smith,Scott W. Campbell Pdf

Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for

Author : Gui-Qiang Chen,Emmanuele DiBenedetto
Publisher : American Mathematical Soc.
Page : 323 pages
File Size : 50,8 Mb
Release : 1999
Category : Differential equations, Nonlinear
ISBN : 9780821811962

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Nonlinear Partial Differential Equations by Gui-Qiang Chen,Emmanuele DiBenedetto Pdf

This volume is a collection of original research papers and expository articles stemming from the scientific program of the Nonlinear PDE Emphasis Year held at Northwestern University (Evanston, IL) in March 1998. The book offers a cross-section of the most significant recent advances and current trends and directions in nonlinear partial differential equations and related topics. The book's contributions offer two perspectives. There are papers on general analytical treatment of the theory and papers on computational methods and applications originating from significant realistic mathematical models of natural phenomena. Also included are articles that bridge the gap between these two perspectives, seeking synergistic links between theory and modeling and computation. The volume offers direct insight into recent trends in PDEs. This volume is also available on the Web. Those who purchase the print edition can gain free access by going to www.ams.org/conm/.

Author : Matthias Hieber,James C. Robinson,Yoshihiro Shibata
Publisher : Springer Nature
Page : 471 pages
File Size : 54,8 Mb
Release : 2020-04-28
Category : Mathematics
ISBN : 9783030362263

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Mathematical Analysis of the Navier-Stokes Equations by Matthias Hieber,James C. Robinson,Yoshihiro Shibata Pdf

This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free boundary problems for the Navier–Stokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the Navier–Stokes equations.

Author : Odile Pons
Publisher : World Scientific Publishing Company
Page : 256 pages
File Size : 40,5 Mb
Release : 2015-01-19
Category : Mathematics
ISBN : 9789814635981

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Analysis and Differential Equations by Odile Pons Pdf

This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions are defined from differential equations. Laguerre, Hermite and Legendre orthonormal polynomials as well as several extensions are also considered. It is illustrated by examples and graphs of functions, with each chapter containing exercises solved in the last chapter.

Author : Steven G. Penoncello
Publisher : CRC Press
Page : 453 pages
File Size : 43,8 Mb
Release : 2018-09-19
Category : Science
ISBN : 9781351736572

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Thermal Energy Systems by Steven G. Penoncello Pdf

Thermal Energy Systems: Design and Analysis, Second Edition presents basic concepts for simulation and optimization, and introduces simulation and optimization techniques for system modeling. This text addresses engineering economy, optimization, hydraulic systems, energy systems, and system simulation. Computer modeling is presented, and a companion website provides specific coverage of EES and Excel in thermal-fluid design. Assuming prior coursework in basic thermodynamics and fluid mechanics, this fully updated and improved text will guide students in Mechanical and Chemical Engineering as they apply their knowledge to systems analysis and design, and to capstone design project work.