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Hydrogeodynamics
This text focuses particularly on the growing interest in hydrodynamic principles of the study of underground waters, new methods of eco-based hydrogeodynamic analysis, and the estimation of the quantity of infiltration water transfer. The author also discusses aspects of mass transfer by subsurface water flow in the light of molecular kinetics, and examines a new apporach to investigating the slow movements of groundwater at the deep zones of the hydrolithosphere.
Numerical Methods for Grid Equations
The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been de...
Iterative Incomplete Factorization Methods
This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.
Classical Numerical Analysis
A thorough introduction to graduate classical numerical analysis, with all important topics covered rigorously.
Linear Algebra for Large Scale and Real-Time Applications
Proceedings of the NATO Advanced Study Institute, Leuven, Belgium, August 3-14, 1992
Large Scale Scientific Computing
In this book, the new and rapidly expanding field of scientific computing is understood in a double sense: as computing for scientific and engineering problems and as the science of doing such computations. Thus scientific computing touches at one side mathematical modelling (in the various fields of applications) and at the other side computer science. As soon as the mathematical models de scribe the features of real life processes in sufficient detail, the associated computations tend to be large scale. As a consequence, interest more and more focusses on such numerical methods that can be expected to cope with large scale computational problems. Moreover, given the algorithms which are kn...
Solitary Waves in Dispersive Complex Media
Deals with the theoretical, analytical and advanced numerical study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrodinger (NLS) and derivative NLS (DNLS) classes of equations.
Domain Decomposition Methods in Science and Engineering
This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Much of the work in this field focuses on developing numerical methods for large algebraic systems.
