000			01822nam a22002057a 4500
003			OSt
005			20231123114834.0
008			220621b |||||||| |||| 00| 0 eng d
020			_a9788847010703
040			_cDonated by Prof. A s Vasudeva Murthy _aICTS-TIFR
050			_aQA377
100			_aQuarteroni, Alfio
245			_a Numerical models for differential problems Vol 2
260			_aNew York: _bSpringer, _c[c2009]
300			_axvi, 601 p
490			_aModeling, Simulation and Applications (MS&A)
520			_aIn this text, we introduce the basic concepts for the numerical modelling 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.---summary provided by the Publisher
856			_uhttps://link.springer.com/book/10.1007/978-88-470-5522-3
942			_2lcc _cBK
999			_c3169 _d3169