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005			20220315144905.0
008			130924s2012 njua b 001 0 eng
010			_a 2013443448
020			_a9789814390736
020			_a9814390739
040			_aDLC _beng _erda _cDLC _dDLC
042			_apcc
050	0	0	_aQA377 _b.M54 2012
082	0	0	_a515.352 _223 _bMIL
100	1		_aMiller, J. J. H.
245	1	0	_aFitted numerical methods for singular perturbation problems : _berror estimates in the maximum norm for linear problems in one and two dimensions / _cJ.J.H. Miller, Trinity College, Dublin, Ireland, E. O'Riordan, Dublin city University, Ireland, G.I. Shishkin, Russian Academy of Sciences, Russia.
250			_aRevised edition.
260			_aNew Jersy: _bWorld Scientific, _c©2012.
300			_axiv, 176 pages : _billustrations ; _c24 cm
505			_t1. Motivation for the study of singular perturbation problems -- _t2. Simple examples of singular perturbation problems -- _t3. Numerical methods for singular perturbation problems -- _t4. Simple fitted operator methods in one dimension -- _t5. Simple fitted mesh methods in one dimension -- _t6. Convergence of fitted mesh finite difference methods for linear reaction-diffusion problems in one dimension -- _t7. Properties of upwind finite difference operators on piecewise uniform fitted meshes -- _t8. Convergence of fitted mesh finite difference methods for linear convection-diffusion problems in one dimension -- _t9. Fitted mesh finite element methods for linear convection-diffusion problems in one dimension -- _t10. Convergence of Schwarz iterative methods for fitted mesh methods in one dimension -- _t11. Linear convection-diffusion problems in two dimensions and their numerical solution -- _t12. Bounds on the derivatives of solutions of linear convection-diffusion problems in two dimensions with regular boundary layers -- _t13. Convergence of fitted mesh finite difference methods for linear convection-diffusion problems in two dimensions with regular boundary layers -- _t14. Limitations of fitted operator methods on uniform rectangular meshes for problems with parabolic boundary layers -- _t15. Fitted numerical methods for problems with initial and parabolic boundary layers.
520			_aSince the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.
650		0	_aDifferential equations
650		0	_aPerturbation (Mathematics)
700	1		_aO'Riordan, E.
700	1		_aShishkin, G. I.,
942			_2ddc _cBK
100	1		_q(John James Henry), _d1937- _eauthor.
264		1	_aHackensack, New Jersey : _bWorld Scientific, _c[2012]
336			_atext _2rdacontent
337			_aunmediated _2rdamedia
338			_avolume _2rdacarrier
504			_aIncludes bibliographical references (pages 169-173) and index.
650		0	_xNumerical solutions.
700	1		_q(Eugene), _eauthor.
700	1		_eauthor.
906			_a7 _bcbc _corigcop _d2 _encip _f20 _gy-gencatlg