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Elliptic Differential Equations - Theory and Numerical Treatment (Paperback, Softcover reprint of the original 2nd ed. 2017)
Loot Price: R3,777
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Elliptic Differential Equations - Theory and Numerical Treatment (Paperback, Softcover reprint of the original 2nd ed. 2017)
Series: Springer Series in Computational Mathematics, 18
Expected to ship within 10 - 15 working days
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This book simultaneously presents the theory and the numerical
treatment of elliptic boundary value problems, since an
understanding of the theory is necessary for the numerical analysis
of the discretisation. It first discusses the Laplace equation and
its finite difference discretisation before addressing the general
linear differential equation of second order. The variational
formulation together with the necessary background from functional
analysis provides the basis for the Galerkin and finite-element
methods, which are explored in detail. A more advanced chapter
leads the reader to the theory of regularity. Individual chapters
are devoted to singularly perturbed as well as to elliptic
eigenvalue problems. The book also presents the Stokes problem and
its discretisation as an example of a saddle-point problem taking
into account its relevance to applications in fluid dynamics.
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