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The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering) (Mathematical and Analytical Techniques with Applications to Engineering) by Sergej Rjasanow; Olaf Steinbach is a nonfiction available to read on EtoBox.
What is The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering) (Mathematical and Analytical Techniques with Applications to Engineering) about?
The use of surface potentials to describe solutions of partial differential equations goes back to the middle of the 19th century. Numerical approximation procedures, known today as Boundary Element Methods (BEM), have been developed in the physics and engineering community since the 1950s. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations. __The Fast Solution of Boundary Integral Equations__ provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is discussed, and the necessary related stability and error estimates are derived. For the practical use of boundary integral methods, efficient algorithms together with their implementation are needed. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given which underline both theoretical results and the prac
Who reads The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering) (Mathematical and Analytical Techniques with Applications to Engineering)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Sergej Rjasanow; Olaf Steinbach
- Publisher
- Springer Science+Business Media, LLC
- Published
- 2007
- Language
- EN
- ISBN
- 9780387340425
- Category
- nonfiction
- Subjects
- Computer Science, Science, Physics
Other editions & translations
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