Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Numerical Solution of Partial Differential Equations Theory Tools and Case Studies

Numerical Solution of Partial Differential Equations  Theory  Tools and Case Studies Author Dr. D. P. Laurie
ISBN-10 9783034862622
Release 2013-11-21
Pages 341
Download Link Click Here

Numerical Solution of Partial Differential Equations Theory Tools and Case Studies has been writing in one form or another for most of life. You can find so many inspiration from Numerical Solution of Partial Differential Equations Theory Tools and Case Studies also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Numerical Solution of Partial Differential Equations Theory Tools and Case Studies book for free.



Numerical Methods in Software and Analysis

Numerical Methods in Software and Analysis Author John R. Rice
ISBN-10 9781483295688
Release 2014-05-19
Pages 720
Download Link Click Here

Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem-there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts. Emphasizes the use of high-quality mathematical software for numerical computation Extensive use of IMSL routines Features extensive examples and case studies



Finite Elements

Finite Elements Author Dietrich Braess
ISBN-10 0521011957
Release 2001-04-12
Pages 352
Download Link Click Here

This is a thoroughly revised version of the successful first edition. In addition to up-dating the existing text, the author has added new material that will prove useful for research or application of the finite element method. The most important application of finite elements is the numerical solution of elliptic partial differential equations. The author gives a thorough coverage of this subject and includes aspects such as saddle point problems which require a more in-depth mathematical treatment. This is a book for graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.



Computational Partial Differential Equations

Computational Partial Differential Equations Author Hans Petter Langtangen
ISBN-10 9783662011706
Release 2013-04-17
Pages 685
Download Link Click Here

Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.



Shallow Water Hydrodynamics

Shallow Water Hydrodynamics Author W.Y. Tan
ISBN-10 0080870937
Release 1992-08-17
Pages 433
Download Link Click Here

Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.



Mathematical Modelling with Case Studies

Mathematical Modelling with Case Studies Author B. Barnes
ISBN-10 1420083503
Release 2011-03-23
Pages 368
Download Link Click Here

Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using MapleTM and MATLAB®, Second Edition presents mathematical techniques applicable to models involving differential equations that describe rates of change. Although the authors concentrate on models involving differential equations, the ideas used can be applied to many other areas. The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. They discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model. Through applications and the tools of MapleTM and MATLAB®, this textbook provides hands-on model building skills. It develops, extends, and improves simple models as well as interprets the results.



Numerical Solution of Partial Differential Equations

Numerical Solution of Partial Differential Equations Author K. W. Morton
ISBN-10 9781139443203
Release 2005-04-11
Pages
Download Link Click Here

This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.



Partial Differential Equations in Action

Partial Differential Equations in Action Author Sandro Salsa
ISBN-10 9783319150932
Release 2015-04-24
Pages 701
Download Link Click Here

The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.



Index of Mathematical Papers

Index of Mathematical Papers Author
ISBN-10 UOM:39015053357821
Release 1985
Pages
Download Link Click Here

Index of Mathematical Papers has been writing in one form or another for most of life. You can find so many inspiration from Index of Mathematical Papers also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Index of Mathematical Papers book for free.



Current Engineering Practice

Current Engineering Practice Author
ISBN-10 UIUC:30112007802165
Release 1985
Pages
Download Link Click Here

Current Engineering Practice has been writing in one form or another for most of life. You can find so many inspiration from Current Engineering Practice also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Current Engineering Practice book for free.



Techniques of Functional Analysis for Differential and Integral Equations

Techniques of Functional Analysis for Differential and Integral Equations Author Paul Sacks
ISBN-10 9780128114575
Release 2017-05-16
Pages 320
Download Link Click Here

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations, and especially partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and as PhD research preparation in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs are limited, and their sources precisely identifie d, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to the mathematical techniques widely used in applied mathematics and needed for advanced research Establishes the advanced background needed for sophisticated literature review and research in both differential and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UVA:X001409689
Release 1985
Pages
Download Link Click Here

Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Computational Partial Differential Equations

Computational Partial Differential Equations Author Hans Petter Langtangen
ISBN-10 9783642557699
Release 2012-12-06
Pages 862
Download Link Click Here

This text teaches finite element methods and basic finite difference methods from a computational point of view. It emphasizes developing flexible computer programs using the numerical library Diffpack, which is detailed for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. This edition offers new applications and projects, and all program examples are available on the Internet.



Partial Differential Equations

Partial Differential Equations Author R. M. M. Mattheij
ISBN-10 9780898715941
Release 2005-01-01
Pages 665
Download Link Click Here

Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.



Mathematical Tools for Physicists

Mathematical Tools for Physicists Author Michael Grinfeld
ISBN-10 9783527684274
Release 2014-11-05
Pages 632
Download Link Click Here

The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.



Control Theory of Systems Governed by Partial Differential Equations

Control Theory of Systems Governed by Partial Differential Equations Author A.K. Aziz
ISBN-10 9781483216300
Release 2014-05-10
Pages 288
Download Link Click Here

Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.



Fractional Partial Differential Equations and Their Numerical Solutions

Fractional Partial Differential Equations and Their Numerical Solutions Author Boling Guo
ISBN-10 9789814667067
Release 2015-03-09
Pages 348
Download Link Click Here

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope. This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear Schrödinger equations, fractional Landau–Lifshitz equations and fractional Ginzburg–Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs. Contents:Physics BackgroundFractional Calculus and Fractional Differential EquationsFractional Partial Differential EquationsNumerical Approximations in Fractional CalculusNumerical Methods for the Fractional Ordinary Differential EquationsNumerical Methods for Fractional Partial Differential Equations Readership: Graduate students and researchers in mathematical physics, numerical analysis and computational mathematics. Key Features:This book covers the fundamentals of this field, especially for the beginnersThe book covers new trends and results in this fieldThe book covers numerical results, which will be of broad interests to researchersKeywords:Fractional Partial Differential Equations;Numerical Solutions