Numerical solution of elliptic and parabolic partial differential equations
Langue : Anglais
Auteur : TRANGENSTEIN John A.
For mathematicians and engineers interested in applying numerical methods
to physical problems this book is ideal. Numerical ideas are connected to
accompanying software, which is also available online. By seeing the
complete description of the methods in both theory and implementation,
students will more easily gain the knowledge needed to write their own
application programs or develop new theory. The book contains careful
development of the mathematical tools needed for analysis of the numerical
methods, including elliptic regularity theory and approximation theory.
Variational crimes, due to quadrature, coordinate mappings, domain
approximation and boundary conditions, are analyzed. The claims are stated
with full statement of the assumptions and conclusions, and use
subscripted constants which can be traced back to the origination
(particularly in the electronic version, which can be found on the
accompanying CD-ROM).
Preface, 1. Introduction to partial differential equations, 2. Parabolic equations, 3. Iterative linear algebra, 4. Introduction to finite element methods, 5. Finite element theory, 6. Finite element approximations, 7. Mixed and hybrid finite elements, 8. Finite elements for parabolic equations, 9. Finite elements and multigrid, 10. Local refinement, Nomenclature, Bibliography, Author index, Subject index.
Date de parution : 04-2013
Ouvrage de 630 p.
18.9x24.6 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 80,70 €
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