000140685 001__ 140685
000140685 005__ 20180913055413.0
000140685 020__ $$a978-88-470-1070-3
000140685 037__ $$aBOOK
000140685 245__ $$aNumerical Models for Differential Problems
000140685 269__ $$a2009
000140685 260__ $$aHeidelberg, DE$$bSpringer$$c2009
000140685 336__ $$aBooks
000140685 490__ $$aModeling, Simulation and Applications$$v2
000140685 500__ $$aWritten for students of bachelor and master courses in scientific disciplines: engineering, mathematics, physics, computational sciences, and information science
000140685 520__ $$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.
000140685 6531_ $$aAnalysis
000140685 6531_ $$aNumerical modelling
000140685 6531_ $$aPDE
000140685 700__ $$0240286$$aQuarteroni, Alfio$$g118377
000140685 8564_ $$uhttp://www.springer.com/math/book/978-88-470-1070-3$$zURL
000140685 909C0 $$0252102$$pCMCS$$xU10797
000140685 909CO $$ooai:infoscience.tind.io:140685$$pbook$$pSB
000140685 937__ $$aCMCS-BOOK-2009-002
000140685 973__ $$aEPFL$$sPUBLISHED
000140685 980__ $$aBOOK