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Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Título: Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Autor: Volodymyr Makarov

Sinopse: 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.

Contexto da obra

Quando a classificação é mais ampla, o contexto do livro costuma depender ainda mais de autoria, tema e edição. “Traditional Functional-Discrete Methods for the Problems of Mathematical Physics”, de Volodymyr Makarov, publicado pela editora John Wiley & Sons, em 2024 e com 356 páginas, integra a categoria Livros Variados. Por isso, autoria, edição e tema acabam tendo ainda mais peso na forma de apresentar o livro.

Editora: John Wiley & Sons

Páginas: 356

Ano: 2024

Edição:

Linguagem: en

ISBN: 1786309335

ISBN13: 9781786309334

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