| Titre : | Computational differential equations |
| Auteurs : | K. Eriksson ; D. Estep ; P. Hansbo ; C. Johnson |
| Type de document : | texte imprimé |
| Editeur : | Cambridge : Cambridge University Press, 1996 |
| ISBN/ISSN/EAN : | 978-0-521-56738-1 |
| Format : | 1 vol. (XVI-538 p.) / ill.couv.ill en coul. / 22 cm |
| Langues originales: | |
| Index. décimale : | 515.35 (Équations différentielles) |
| Catégories : | |
| Mots-clés: | Equation différentielle |
| Résumé : |
This substantial revision of the text Numerical Solution of Partial Differential Equations by the Finite Element Method by C. Johnson is a two volume introduction to the computational solution of differential equations using a unified approach organised around the adaptive finite element method. It presents a synthesis of mathematical modelling, analysis and computation. It provides the student with theoretical and practical tools useful for addressing the basic questions of computational mathematical modelling in science and engineering: How to model physical phenomena using differential equations? What are the properties of solutions of differential equations? How to compute solutions in practice? How to estimate and control the accuracy of computed solutions? The first volume begins by developing the basic issues at an elementary level in the context of a set of model problems in ordinary differential equations. The second volume extends the scope to nonlinear differential equations and systems of equations modelling a variety of phenomena such as reaction-diffusion, fluid flow and many-body dynamics, and reaches the frontiers of research. |
| Note de contenu : |
Sommaire : 1. The Vision of Leibniz. 2. A Brief History. 3. A Review of Calculus. 4. A Short Review of Linear Algebra. 5. Polynomial Approximation. 6. Galerkin's Method. 7. Solving Linear Algebraic Systems. 8. Two-Point Boundary Value Problems. 9. Scalar Initial Value Problems. 10. Initial Value Problems for Systems. 11. Calculus of Variations. 12. Computational Mathematical Modeling. 13. Calculus of Several Variables. 14. Piecewise Polynomials in Several Dimensions. 15. The Poisson Equation. 16. The Heat Equation. 17. The Wave Equation. 18. Stationary Convection-Diffusion Problems. 19. Time Dependent Convection-Diffusion Problems. 20. The Eigenvalue Problem for an Elliptic Operator. 21. The Power of Abstraction. |
| Côte titre : |
S8/51786-51787 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/51786 | Livre | Bibliothèque centrale | Disponible |
| S8/51787 | Livre | Bibliothèque centrale | Disponible |
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