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Elements of Partial Differential Equations.
This book presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2014.
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| Edición: | 2nd ed. |
| Colección: | De Gruyter textbook.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 1 | 0 | |a Elements of Partial Differential Equations. |
| 250 | |a 2nd ed. | ||
| 260 | |a Berlin : |b De Gruyter, |c 2014. | ||
| 300 | |a 1 online resource (291 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Textbook | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs and learns some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is ad. | ||
| 505 | 0 | |a Preface ; Contents ; 1 Motivation, Derivation of Basic Mathematical Models ; 1.1 Conservation Laws ; 1.1.1 Evolution Conservation Law ; 1.1.2 Stationary Conservation Law ; 1.1.3 Conservation Law in One Dimension ; 1.2 Constitutive Laws ; 1.3 Basic Models. | |
| 505 | 8 | |a 1.3.1 Convection and Transport Equation 1.3.2 Diffusion in One Dimension ; 1.3.3 Heat Equation in One Dimension ; 1.3.4 Heat Equation in Three Dimensions ; 1.3.5 String Vibrations and Wave Equation in One Dimension ; 1.3.6 Wave Equation in Two Dimensions -- Vibrating Membrane. | |
| 505 | 8 | |a 1.3.7 Laplace and Poisson Equations -- Steady States 1.4 Exercises ; 2 Classification, Types of Equations, Boundary and Initial Conditions ; 2.1 Basic Types of Equations ; 2.2 Classical, General, Generic and Particular Solutions ; 2.3 Boundary and Initial Conditions. | |
| 505 | 8 | |a 2.4 Well-Posed and Ill-Posed Problems 2.5 Classification of Linear Equations of the Second Order ; 2.6 Exercises ; 3 Linear Partial Differential Equations of the First Order ; 3.1 Equations with Constant Coefficients ; 3.1.1 Geometric Interpretation -- Method of Characteristics. | |
| 505 | 8 | |a 3.1.2 Coordinate Method 3.1.3 Method of Characteristic Coordinates ; 3.2 Equations with Non-Constant Coefficients ; 3.2.1 Method of Characteristics ; 3.2.2 Method of Characteristic Coordinates ; 3.3 Problems with Side Conditions ; 3.4 Solution in Parametric Form ; 3.5 Exercises. | |
| 505 | 8 | |a 4 Wave Equation in One Spatial Variable -- Cauchy Problem in R. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations, Partial |v Textbooks. | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 655 | 7 | |a Textbooks |2 fast | |
| 700 | 1 | |a Holubová, Gabriela. | |
| 776 | 0 | 8 | |i Print version: |z 9783110316650 |
| 830 | 0 | |a De Gruyter textbook. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1575466 |z Texto completo |
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