Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors consider the principles of model construction and use common approaches to build models from a range of subject areas. The book reflects the interests and experiences of the authors, but it explores mathematical modeling across a wide range of applications, from mechanics to social science. A general approach is adopted, where ideas and examples are favored over rigorous mathematical procedures. This insightful book will be of interest to...
Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors con...
This two-volume work combines mathematical considerations, theoretical description, model derivation and the development of effective numerical procedures. It addresses those subjects applicable to heat transfer by conduction, convection and radiation in a unified way.
This two-volume work combines mathematical considerations, theoretical description, model derivation and the development of effective numerical proced...
This two-volume work combines mathematical considerations, theoretical description, model derivation and the development of effective numerical procedures. It addresses those subjects applicable to heat transfer by conduction, convection and radiation in a unified way.
This two-volume work combines mathematical considerations, theoretical description, model derivation and the development of effective numerical proced...
A. A. Samarskii Samarskii A. Samarskii Alexander A. Samarskii
The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written and] an excellent book, with a wealth of mathematical material and techniques."
The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses...
Alexander A. Samarskii A. A. Samarskii Piotr P. Matus
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di...
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect...
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.
The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.
Editorial Board
Lev Birbrair,...
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two deca...
Mathematical physics plays an important role in the study of many physical processes -- hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in...
Mathematical physics plays an important role in the study of many physical processes -- hydrodynamics, elasticity, and electrodynamics, to name jus...
