000			02800nam a22003497a 4500
999			_c1543 _d1543
005			20220406155327.0
008			220406b ||||| |||| 00| 0 eng d
020			_a9783540344667
082			_a518.63 _bROO
100			_aRoos, Hans-Görg
245			_aRobust numerical methods for singularly perturbed differential equations : _bconvection-diffusion-reaction and flow problems _cHans-Görg Roos; M Stynes; L Tobiska
250			_a2nd ed.
260			_aBerlin : _bSpringer-Verlag, _c©2008.
300			_axiv, 604 pages : _billustrations ; _c25 cm
440			_aSpringer series in computational mathematics, _v24.
505			_apt. 1. Ordinary differential equations. -- _tThe analytical behaviour of solutions -- _tNumerical methods for second-order boundary value problems --
505			_apt. 2. Parabolic initial-boundary value problems in one space dimension. -- _tIntroduction -- _tAnalytical behaviour of solutions -- _tFinite difference methods -- _tFinite element methods -- _tTwo adaptive methods --
505			_apt. 3. Elliptic and parabolic problems in several space dimensions. -- _tAnalytical behaviour of solutions -- _tFinite difference methods -- _tFinite element methods -- _tTime-dependent problems --
505			_apt. 4. The incompressible Navier-Stokes equations. -- _tExistence and uniqueness results -- _tUpwind finite element method -- _tHigher-order methods of streamline diffusion type -- _tLocal projection stabilization for equal-order interpolation -- _tLocal projection method for Inf-Sup stable elements -- _tMass conservation for coupled flow-transport problems -- _tAdaptive error control.
520			_aThis considerably expanded and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.
650			_aSingular perturbations (Mathematics)
650			_aNumerical analysis
650			_aNavier-Stokes equations
650			_aBoundary value problems
650			_aFinite element method
650			_aDifferential equations--Numerical solutions
650			_aMathematics
650			_aStatistics
700			_aStynes, M.
700			_aTobiska, L.
942			_2ddc _cBK