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Download or read book Geotechnical Safety and Risk IV written by Limin Zhang and published by CRC Press. This book was released on 2013-11-15 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geotechnical Safety and Risk IV contains the contributions presented at the 4th International Symposium on Geotechnical Safety and Risk (4th ISGSR, Hong Kong, 4-6 December 2013), which was organised under the auspices of the Geotechnical Safety Network (GEOSNet), TC304 on Engineering Practice of Risk Assessment and Management and TC205 on Safety an

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Download or read book Numerical Models for Differential Problems written by Alfio Quarteroni and published by Springer. This book was released on 2017-10-10 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, we introduce the basic concepts for the numerical modeling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

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