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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R1,631
Discovery Miles 16 310
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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Mathematics and Its Applications, 444
Expected to ship within 10 - 15 working days
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In this book the author sets out to answer two important questions:
1. Which numerical methods may be combined together? 2. How can
different numerical methods be matched together? In doing so the
author presents a number of useful combinations, for instance, the
combination of various FEMs, the combinations of FEM-FDM, REM-FEM,
RGM-FDM, etc. The combined methods have many advantages over single
methods: high accuracy of solutions, less CPU time, less computer
storage, easy coupling with singularities as well as the
complicated boundary conditions. Since coupling techniques are
essential to combinations, various matching strategies among
different methods are carefully discussed. The author provides the
matching rules so that optimal convergence, even superconvergence,
and optimal stability can be achieved, and also warns of the
matching pitfalls to avoid. Audience: The book is intended for both
mathematicians and engineers and may be used as text for advanced
students.
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