Numerical Approximation of Partial Differential Equations

Numerical Approximation of Partial Differential Equations
Springer | Texts in Applied Mathematics | July 3 2016 | ISBN-10: 3319323539 | 535 pages | pdf | 8.48 mb

Authors: Bartels, Sören

Matlab implementations illustrate the devised methods
Problems, projects, and quizzes allow for self-evaluation
Includes theoretical and physical backgrounds of mathematical models

Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.

Number of Illustrations and Tables

170 b/w illustrations

Topics

Numerical Analysis

Partial Differential Equations

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Differential Diagnosis in Dermatology, 4th Edition

Differential Diagnosis in Dermatology, 4th Edition by Richard Ashton, Barbara Leppard, Hywel Cooper
October 30, 2014 | ISBN: 1909368725 | English | 416 pages | PDF | 332 MB

Fully updated and revised, Differential Diagnosis in Dermatology, Fourth Edition has been greatly expanded and now includes entirely new chapters on specific areas such as mouth, tongue, lip and ear problems, acute erythematous rashes of the trunk and limbs, chronic erythematous rashes and lesions, and non-erythematous lesions. It also now includes an invaluable classification of topical steroids by potency.

Chapters are divided into different body areas, and possible diagnosis can be made by reading through the text or looking through the photographs.

It is a highly effective guide to dermatological diagnosis in the surgery or clinic, taking the reader through the process of diagnosing skin disease, from the basic biology of skin, history taking, describing skin lesions and carrying out special investigations.

With well over 750 illustrations, this full-colour book combines excellent clinical photography with practical text and clear diagrams throughout. | ISBN: 1909368725 | English | 416 pages | PDF | 332 MB

Fully updated and revised, Differential Diagnosis in Dermatology, Fourth Edition has been greatly expanded and now includes entirely new chapters on specific areas such as mouth, tongue, lip and ear problems, acute erythematous rashes of the trunk and limbs, chronic erythematous rashes and lesions, and non-erythematous lesions. It also now includes an invaluable classification of topical steroids by potency.

Chapters are divided into different body areas, and possible diagnosis can be made by reading through the text or looking through the photographs.

It is a highly effective guide to dermatological diagnosis in the surgery or clinic, taking the reader through the process of diagnosing skin disease, from the basic biology of skin, history taking, describing skin lesions and carrying out special investigations.

With well over 750 illustrations, this full-colour book combines excellent clinical photography with practical text and clear diagrams throughout. | ISBN: 1909368725 | English | 416 pages | PDF | 332 MB

Fully updated and revised, Differential Diagnosis in Dermatology, Fourth Edition has been greatly expanded and now includes entirely new chapters on specific areas such as mouth, tongue, lip and ear problems, acute erythematous rashes of the trunk and limbs, chronic erythematous rashes and lesions, and non-erythematous lesions. It also now includes an invaluable classification of topical steroids by potency.

Chapters are divided into different body areas, and possible diagnosis can be made by reading through the text or looking through the photographs.

It is a highly effective guide to dermatological diagnosis in the surgery or clinic, taking the reader through the process of diagnosing skin disease, from the basic biology of skin, history taking, describing skin lesions and carrying out special investigations.

With well over 750 illustrations, this full-colour book combines excellent clinical photography with practical text and clear diagrams throughout.