000			05151cam a2200661Ia 4500
001			ocn162587214
003			OCoLC
005			20141103172226.0
006			m o d
007			cr cn|||||||||
008			070806s2006 ne ob 001 0 eng d
040			_aOPELS _beng _cOPELS _dOPELS _dOCLCQ _dN$T _dYDXCP _dMERUC _dE7B _dTULIB _dOCLCO _dOCLCQ _dOPELS _dOCLCF _dDEBBG
019			_a76863267 _a647547573 _a779919960
020			_a9780444521408
020			_a0444521402
020			_a0080462081 (electronic bk.)
020			_a9780080462080 (electronic bk.)
029	1		_aNZ1 _b12435170
029	1		_aAU@ _b000048130514
029	1		_aDEBBG _bBV039830227
029	1		_aAU@ _b000051860873
029	1		_aDEBBG _bBV036962359
035			_a(OCoLC)162587214 _z(OCoLC)76863267 _z(OCoLC)647547573 _z(OCoLC)779919960
037			_a130373:130476 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
050		4	_aQA871 _b.B34 2006eb
072		7	_aMAT _x007000 _2bisacsh
082	0	4	_a515/.392 _222
049			_aTEFA
100	1		_aBakaev, Nikolai Yu.
245	1	0	_aLinear discrete parabolic problems _h[electronic resource] / _cNikolai Yu. Bakaev.
250			_a1st ed.
260			_aAmsterdam ; _aBoston : _bElsevier, _c2006.
300			_a1 online resource (xv, 286 p.)
490	1		_aNorth-Holland mathematics studies, _x0304-0208 ; _v203
520			_aThis volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter.
505	0		_aPreface. -- Part I. EVOLUTION EQUATIONS IN DISCRETE TIME. -- Preliminaries. -- Main Results on Stability. -- Operator Splitting Problems. -- Equations with Memory. -- Part II. RUNGE-KUTTA METHODS. -- Discretization by Runge-Kutta methods. -- Analysis of Stability. -- Convergence Estimates. -- Variable Stepsize Approximations. -- Part III. OTHER DISCRETIZATION METHODS. -- The/theta-method. -- Methods with Splitting Operator. -- Linear Multistep Methods. -- Part IV. INTEGRO-DIFFERENTIAL EQUATIONS UNDER DISCRETIZATION. -- Integro-Differential Equations. -- APPENDIX. -- A Functions of Linear Operators. -- B Cauchy Problems in Banach Space.
504			_aIncludes bibliographical references (p. 269-283) and index.
588			_aDescription based on print version record.
650		0	_aStability.
650		0	_aRunge-Kutta formulas.
650		0	_aDifferential equations.
650		0	_aComputer science _xMathematics.
650		7	_aMATHEMATICS _xDifferential Equations _xGeneral. _2bisacsh
650		7	_aComputer science _xMathematics. _2fast _0(OCoLC)fst00872460
650		7	_aDifferential equations. _2fast _0(OCoLC)fst00893446
650		7	_aRunge-Kutta formulas. _2fast _0(OCoLC)fst01101336
650		7	_aStability. _2fast _0(OCoLC)fst01131203
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBakaev, Nikolai Yu. _tLinear discrete parabolic problems. _b1st ed. _dAmsterdam ; Boston : Elsevier, 2006 _z0444521402 _z9780444521408 _w(DLC) 2005055340 _w(OCoLC)62408816
830		0	_aNorth-Holland mathematics studies ; _v203. _x0304-0208
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444521408
856	4		_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=203 _3Volltext
938			_aYBP Library Services _bYANK _n2526439
938			_aebrary _bEBRY _nebr10138496
938			_aEBSCOhost _bEBSC _n166910
942			_cEB
994			_aC0 _bTEF
999			_c21883 _d21883