| Autore |
Edsberg Lennart <1946->
|
| Edizione | [Second edition.] |
| Pubbl/distr/stampa |
Hoboken, New Jersey : , : Wiley, , 2016
|
| Descrizione fisica |
1 online resource (328 p.)
|
| Disciplina |
515/.350285
|
| Soggetto topico |
Differential equations - Data processing
Mathematical models
|
| Soggetto genere / forma |
Electronic books.
|
| ISBN |
1-119-01846-3
1-119-01845-5
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
""Title Page""; ""Copyright""; ""Table of Contents""; ""Preface""; ""Chapter 1: Introduction""; ""1.1 What is a Differential Equation?""; ""1.2 Examples of an ordinary and a partial differential equation""; ""1.3 Numerical analysis, a necessity for scientific computing""; ""1.4 Outline of the contents of this book""; ""Bibliography""; ""Chapter 2: Ordinary Differential Equations""; ""2.1 Problem Classification""; ""2.2 Linear Systems of Odes With Constant Coefficients""; ""2.3 Some Stability Concepts For Ode""; ""2.4 Some ode models in science and engineering""
""2.5 Some Examples From Applications""""Bibliography""; ""Chapter 3: Numerical Methods For Initial Value Problems""; ""3.1 Graphical Representation Of Solutions""; ""3.2 Basic Principles Of Numerical Approximation Of ODE""; ""3.3 Numerical Solution Of IVP with euler' method""; ""3.4 Higher order methods for the IVP""; ""3.5 Special Methods For Special Problems""; ""3.6 The Variational Equation And Parameter Fitting In IVP""; ""Bibliography""; ""Chapter 4: Numerical methods for boundary value problems""; ""4.1 Applications""; ""4.2 Difference methods for BVP""; ""4.3 Ansatz methods for BVP""
""Bibliography""""Chapter 5: Partial differential equations""; ""5.1 Classical PDE problems""; ""5.2 Differential operators used for PDEs""; ""5.3 Some PDE in science and engineering""; ""5.4 Initial and boundary conditions for PDE""; ""5.5 Numerical solution of PDEs, some general comments""; ""Bibliography""; ""Chapter 6: Numerical Methods for Parabolic Partial Differential Equations""; ""6.1 Applications""; ""6.2 An introductory example of discretization""; ""6.3 THE METHOD OF LINES FOR PARABOLIC PDEs""; ""6.4 Generalizations of the heat equation""
""6.5 Ansatz methods for the model equation""""Bibliography""; ""Chapter 7: Numerical methods for elliptic partial differential equations""; ""7.1 Applications""; ""7.2 The finite difference method""; ""7.3 Discretization of a problem with different BCs""; ""7.4 ANSATZ Methods For Elliptic PDE""; ""Bibliography""; ""Chapter 8: Numerical methods for hyperbolic PDE""; ""8.1 Applications""; ""8.2 Numerical solution of hyperbolic PDE""; ""8.3 The Finite Volume Method""; ""8.4 Some examples of stability analysis for hyperbolic PDE""; ""Bibliography""
""Chapter 9: Mathematical Modeling with Differential Equations""""9.1 NATURE LAWS""; ""9.2 CONSTITUTIVE EQUATIONS""; ""9.3 CONSERVATIVE EQUATIONS""; ""9.4 SCALING OF DIFFERENTIAL EQUATIONS TO DIMENSIONLESS FORM""; ""Chapter 10: Applied Projects On Differential Equations""; ""Appendix A: Some Numerical and Mathematical Tools""; ""A.1 Newton's Method for Systems of Nonlinear Algebraic Equations""; ""A.2 Some Facts about Linear Difference Equations""; ""A.3 Derivation of Difference Approximations""; ""Bibliography""; ""A.4 THE INTERPRETATIONS OF GRAD, DIV, AND CURL""
""A.5 NUMERICAL SOLUTION OF ALGEBRAIC SYSTEMS OF EQUATIONS""
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| Record Nr. | UNINA-9910460739403321 |
Info
Introduction to computation and modeling for differential equations / / Lennart Edsberg
