000			01784 a2200217 4500
005			20181015153419.0
008			181010b xxu||||| |||| 00| 0 eng d
020			_a9783319493152
040			_cIIT Kanpur
041			_aeng
082			_a518.64 _bQ28n3
100			_aQuarteroni, Alfio
245			_aNumerical models for differential problems _cAlfio Quarteroni
250			_a3rd ed.
260			_bSpringer _c2018 _aSwitzerland
440			_aMS&A / edited by T. Hou; v.16
520			_aIn 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.
650			_aNumerical analysis
650			_aDifferential equations, Partial -- Numerical solutions
942			_cBK
999			_c559662 _d559662