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Traditional Functional-Discrete Methods for the Problems of Mathematical Physics: New Aspects by Volodymyr Makarov (National Academy of Sciences of Ukraine, Kyiv, Ukraine) at Abbey's Bookshop,
Traditional Functional-Discrete Methods for the Problems of Mathematical Physics: New Aspects
— —
Volodymyr Makarov (National Academy of Sciences of Ukraine, Kyiv, Ukraine) Nataliya Mayko (Taras Shevchenko National University of Kyiv, Ukraine)

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

New Aspects

Volodymyr Makarov (National Academy of Sciences of Ukraine, Kyiv, Ukraine),  Nataliya Mayko (Taras Shevchenko National University of Kyiv, Ukraine)

$273.95

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English
ISTE Ltd and John Wiley & Sons Inc
04 March 2024
Mathematical physics
This 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.
Edited by:   , ,
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Country of Publication:   United Kingdom
Weight:   771g
ISBN:   9781786309334
ISBN 10:   1786309335
Pages:   352
Publication Date:  
Audience:   Professional and scholarly ,  College/higher education ,  Undergraduate ,  Primary
Format:   Hardback
Publisher's Status:   Active

Volodymyr Makarov is Doctor of Physical and Mathematical Sciences, Professor, and Academician at the National Academy of Sciences of Ukraine, Kyiv, where he is also the founder and head of their Computational Mathematics Department. Nataliya Mayko is Doctor of Physical and Mathematical Sciences and Professor in the Department of Computational Mathematics of the Faculty of Computer Science and Cybernetics at Taras Shevchenko National University of Kyiv, Ukraine.

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