Quelques Methodes De Resolution Des Equations De Convection Diffusion

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Mathematical and Computational Methods for Compressible Flow

Author : Miloslav Feistauer
Publisher : Oxford University Press
ISBN 13 : 9780198505884
Total Pages : 560 pages
Book Rating : 4.5/5 (58 download)

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Book Synopsis Mathematical and Computational Methods for Compressible Flow by : Miloslav Feistauer

Download or read book Mathematical and Computational Methods for Compressible Flow written by Miloslav Feistauer and published by Oxford University Press. This book was released on 2003 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.

Nonlinear Diffusion Equations

Author : Zhuoqun Wu
Publisher : World Scientific
ISBN 13 : 9810247184
Total Pages : 521 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Nonlinear Diffusion Equations by : Zhuoqun Wu

Download or read book Nonlinear Diffusion Equations written by Zhuoqun Wu and published by World Scientific. This book was released on 2001 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature. They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. In many cases, the equations possess degeneracy or singularity. The appearance of degeneracy or singularity makes the study more involved and challenging. Many new ideas and methods have been developed to overcome the special difficulties caused by the degeneracy and singularity, which enrich the theory of partial differential equations.This book provides a comprehensive presentation of the basic problems, main results and typical methods for nonlinear diffusion equations with degeneracy. Some results for equations with singularity are touched upon.

Numerical Methods in Finance

Author : Michèle Breton
Publisher : Springer Science & Business Media
ISBN 13 : 9780387251172
Total Pages : 282 pages
Book Rating : 4.2/5 (511 download)

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Book Synopsis Numerical Methods in Finance by : Michèle Breton

Download or read book Numerical Methods in Finance written by Michèle Breton and published by Springer Science & Business Media. This book was released on 2005-05-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: GERAD celebrates this year its 25th anniversary. The Center was created in 1980 by a small group of professors and researchers of HEC Montreal, McGill University and of the Ecole Polytechnique de Montreal. GERAD's activities achieved sufficient scope to justify its conversion in June 1988 into a Joint Research Centre of HEC Montreal, the Ecole Polytechnique de Montreal and McGill University. In 1996, the U- versite du Quebec a Montreal joined these three institutions. GERAD has fifty members (professors), more than twenty research associates and post doctoral students and more than two hundreds master and Ph.D. students. GERAD is a multi-university center and a vital forum for the devel- ment of operations research. Its mission is defined around the following four complementarily objectives: • The original and expert contribution to all research fields in GERAD's area of expertise; • The dissemination of research results in the best scientific outlets as well as in the society in general; • The training of graduate students and post doctoral researchers; • The contribution to the economic community by solving important problems and providing transferable tools.

Calcolo

Author :
Publisher :
ISBN 13 :
Total Pages : 872 pages
Book Rating : 4.:/5 (327 download)

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Book Synopsis Calcolo by :

Download or read book Calcolo written by and published by . This book was released on 2004 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Singularly Perturbed Differential Equations

Author : Hans-Görg Roos
Publisher : Springer Science & Business Media
ISBN 13 : 3662032066
Total Pages : 364 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Numerical Methods for Singularly Perturbed Differential Equations by : Hans-Görg Roos

Download or read book Numerical Methods for Singularly Perturbed Differential Equations written by Hans-Görg Roos and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.

Numerical Methods For Partial Differential Equations - Proceedings Of 2nd Conference

Author : Lung-an Ying
Publisher : World Scientific
ISBN 13 : 9814555037
Total Pages : 202 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Numerical Methods For Partial Differential Equations - Proceedings Of 2nd Conference by : Lung-an Ying

Download or read book Numerical Methods For Partial Differential Equations - Proceedings Of 2nd Conference written by Lung-an Ying and published by World Scientific. This book was released on 1992-01-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications. The contributed papers reflect the interest and high research level of the Chinese mathematicians working in these fields.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Author : Tarek Mathew
Publisher : Springer Science & Business Media
ISBN 13 : 354077209X
Total Pages : 775 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by : Tarek Mathew

Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.

Nonlinear Partial Differential Equations and Related Analysis

Author : Gui-Qiang Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821835335
Total Pages : 336 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Partial Differential Equations and Related Analysis by : Gui-Qiang Chen

Download or read book Nonlinear Partial Differential Equations and Related Analysis written by Gui-Qiang Chen and published by American Mathematical Soc.. This book was released on 2005 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, NavierStokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism. Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods forimage processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations.

The Porous Medium Equation

Author : Juan Luis Vazquez
Publisher : Clarendon Press
ISBN 13 : 0191513830
Total Pages : 648 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Porous Medium Equation by : Juan Luis Vazquez

Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Clarendon Press. This book was released on 2006-10-26 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.

Nonlinear Analysis and Optimization

Author : Boris S. Mordukhovich
Publisher : American Mathematical Soc.
ISBN 13 : 1470417367
Total Pages : 330 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Analysis and Optimization by : Boris S. Mordukhovich

Download or read book Nonlinear Analysis and Optimization written by Boris S. Mordukhovich and published by American Mathematical Soc.. This book was released on 2016-02-26 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16-19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology. The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for p -moduli, multiple Fourier transforms and trigonometric series in line with Hardy's variation, finite-parameter feedback control for stabilizing damped nonlinear wave equations, implicit Euler approximation and optimization of one-sided Lipschitz differential inclusions, Bolza variational problems with extended-valued integrands on large intervals, first order singular variational problem with nonconvex cost, gradient and extragradient methods for the elasticity imaging inverse problem, discrete approximations of the entropy functional for probability measures on the plane, optimal irrigation scheduling for wheat production, existence of a fixed point of nonexpansive mappings in uniformly convex Banach spaces, strong convergence properties of m-accretive bounded operators, the Reich-Simons convex analytic inequality, nonlinear input-output equilibrium, differential linear-quadratic Nash games with mixed state-control constraints, and excessive revenue models of competitive markets.

Numerical Solution of Partial Differential Equations by the Finite Element Method

Author : Claes Johnson
Publisher : Courier Corporation
ISBN 13 : 0486131599
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Numerical Solution of Partial Differential Equations by the Finite Element Method by : Claes Johnson

Download or read book Numerical Solution of Partial Differential Equations by the Finite Element Method written by Claes Johnson and published by Courier Corporation. This book was released on 2012-05-23 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Advances in Differential Equations

Author :
Publisher :
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Advances in Differential Equations by :

Download or read book Advances in Differential Equations written by and published by . This book was released on 2007 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Numerical Analysis

Author : Philippe G. Ciarlet
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444512246
Total Pages : 1187 pages
Book Rating : 4.5/5 (122 download)

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Book Synopsis Handbook of Numerical Analysis by : Philippe G. Ciarlet

Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 1187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes following subjects: Solution of equations in Rn, Finite difference methods, Finite element methods, Techniques of scientific computing, Optimization theory and systems science, Numerical methods for fluids, Numerical methods for solids, Specific applications

Mathematical Models for Poroelastic Flows

Author : Anvarbek Meirmanov
Publisher : Springer Science & Business Media
ISBN 13 : 9462390150
Total Pages : 477 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Mathematical Models for Poroelastic Flows by : Anvarbek Meirmanov

Download or read book Mathematical Models for Poroelastic Flows written by Anvarbek Meirmanov and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 – 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.

Iterative Methods for Linear Systems

Author : Maxim A. Olshanskii
Publisher : SIAM
ISBN 13 : 1611973457
Total Pages : 257 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Iterative Methods for Linear Systems by : Maxim A. Olshanskii

Download or read book Iterative Methods for Linear Systems written by Maxim A. Olshanskii and published by SIAM. This book was released on 2014-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.

Journal of Numerical Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Journal of Numerical Mathematics by :

Download or read book Journal of Numerical Mathematics written by and published by . This book was released on 2004 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Author : Peter Knabner
Publisher : Springer Nature
ISBN 13 : 3030793850
Total Pages : 811 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Numerical Methods for Elliptic and Parabolic Partial Differential Equations by : Peter Knabner

Download or read book Numerical Methods for Elliptic and Parabolic Partial Differential Equations written by Peter Knabner and published by Springer Nature. This book was released on 2021-11-19 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.