TY  - BOOK
AU  - Makarov,Volodymyr
AU  - Mayko,Nataliya
TI  - Traditional Functional‐Discrete Methods for the Problems of Mathematical Physics: New Aspects
SN  - 9781394276660
PY  - 2024///
PB  - Wiley
KW  - Mathematical & Computational Physics
KW  - Physics Special Topics
KW  - Theoretical Physics
KW  - mathematical 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
N2  - 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
UR  - https://doi.org/10.1002/9781394276660
UR  - https://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781394276660
UR  - https://onlinelibrary.wiley.com/cms/asset/047b39a8-3936-41a5-8c43-fc9f966fa24f/9781394276660.cover.gif
ER  -