Traditional Functional-Discrete Methods for the Problems of Mathematical Physics (Hardcover)

Volodymyr Makarov

ISBN 10: 1786309335 / ISBN 13: 9781786309334

Editore: ISTE Ltd and John Wiley & Sons Inc, London, 2024

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Hardcover. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9781786309334

Dati bibliografici

• Titolo: Traditional Functional-Discrete Methods for the Problems of Mathematical Physics (Hardcover)
• Editore: ISTE Ltd and John Wiley & Sons Inc, London
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 1786309335
• ISBN 13: 9781786309334
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.