Traditional Functional-Discrete Methods for the Problems of Mathematical Physics PDF Download
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Author: Volodymyr Makarov Publisher: John Wiley & Sons ISBN: 1786309335 Category : Science Languages : en Pages : 356
Book Description
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.
Author: Volodymyr Makarov Publisher: John Wiley & Sons ISBN: 1786309335 Category : Science Languages : en Pages : 356
Book Description
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.
Author: Volodymyr Makarov Publisher: John Wiley & Sons ISBN: 1394276656 Category : Science Languages : en Pages : 356
Book Description
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.
Author: Michael Stone Publisher: Cambridge University Press ISBN: 1139480618 Category : Science Languages : en Pages : 821
Book Description
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
Author: Philippe Dennery Publisher: Courier Corporation ISBN: 0486157121 Category : Science Languages : en Pages : 420
Book Description
Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
Author: Victor Henner Publisher: CRC Press ISBN: 1439865167 Category : Mathematics Languages : en Pages : 852
Book Description
This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that
Author: Jin Yue Yan Publisher: Trans Tech Publications Ltd ISBN: 3038138304 Category : Technology & Engineering Languages : en Pages : 1980
Book Description
Selected, peer reviewed papers from the 2012 International Conference on Energy and Environmental Protection (ICEEP 2012), June 23-24, 2012, Hohhot, China
Author: Volodymyr Makarov
Author: Volodymyr Makarov
Author: Volodymyr Makarov
Author: Michael Stone
Author: Philippe Dennery
Author: Victor Henner
Author: Edward Charles Titchmarsh
Author: Kenneth Franklin Riley
Author: Jin Yue Yan
Author: Peter Szekeres
Author: Atkinson