000			02795nam a22003974u 4500
001			10.1002/9781394276660
003			Wiley
005			20251030120320.0
007			cr nn 008mam|a
008			240313t2024||||xxu fs| |0|| 0|eng||
020			_a9781394276660 _qelectronic
024	7		_a10.1002/9781394276660 _2doi
041			_aeng
100	1		_aMakarov, Volodymyr _4aut _992257
245	1	0	_aTraditional Functional‐Discrete Methods for the Problems of Mathematical Physics _bNew Aspects _h[electronic resource] _cVolodymyr Makarov, Nataliya Mayko
250			_a1
260			_bWiley _c2024
264		1	_bWiley _c2024
300			_a352pp.;
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _2rdaft
347			_bPDF
520			_aThis book is devoted to the construction and study of approximate methods for solving mathematical physics problems in canonical domains. It focuses on obtaining weighted a priori estimates of the accuracy of these methods while also considering the influence of boundary and initial conditions. This influence is quantified by means of suitable weight functions that characterize the distance of an inner point to the boundary of the domain. New results are presented on boundary and initial effects for the finite difference method for elliptic and parabolic equations, mesh schemes for equations with fractional derivatives, and the Cayley transform method for abstract differential equations in Hilbert and Banach spaces. Due to their universality and convenient implementation, the algorithms discussed throughout can be used to solve a wide range of actual problems in science and technology. The book is intended for scientists, university teachers, and graduate and postgraduate students who specialize in the field of numerical analysis.
650		4	_aMathematical & Computational Physics _991336
650		4	_aPhysics Special Topics _991611
650		4	_aTheoretical Physics _992258
653	0	0	_amathematical physics; weight functions; boundary of the domain; elliptic equations; parabolic equations; mesh schemes; fractional derivatives; Cayley transform method; abstract differential equations; Hilbert spaces; Banach spaces; universality; convenient implementation
700	1		_aMayko, Nataliya _4aut _992259
776	0	8	_iPrinted edition: _z9781786309334
856	4	0	_uhttps://doi.org/10.1002/9781394276660 _aWiley Online Library
856	4	0	_uhttps://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394276660 _aWiley Online Library
856	4	2	_3Cover Image _uhttps://onlinelibrary.wiley.com/cms/asset/047b39a8-3936-41a5-8c43-fc9f966fa24f/9781394276660.cover.gif _aWiley Online Library
999			_c67287 _d67287