Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by Daniele Bertaccini
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems.
The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
-
Spectral Geometry of Partial Differential Operators
-
Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
-
Nonlinear Reaction-Diffusion-Convection Equations
-
Symmetry and Quantum Mechanics
-
Extending Structures
- Abstract Calculus
-
Inequalities and Integral Operators in Function Spaces
-
Finite Element Methods for Eigenvalue Problems
- Computation with Linear Algebraic Groups
-
Abstract Cauchy Problems
-
Monomial Algebras
-
Introduction to the Potential Theory for the Time-Dependent Stokes System
-
Differential Modules over Differential Rings
-
Set Theoretical Aspects of Real Analysis
-
Elastic Waves
-
Lineability
-
Spectral Methods Using Multivariate Polynomials On The Unit Ball
-
Partial Differential Equations with Variable Exponents
-
Localized Dynamics of Thin-Walled Shells
-
Morrey Spaces
-
Signal Processing
-
Iterative Methods without Inversion
-
Diagram Genus, Generators, and Applications
-
Analysis on Function Spaces of Musielak-Orlicz Type
-
Integration and Cubature Methods
-
Separate and Joint Continuity
-
Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations
-
Constructive Analysis of Semicircular Elements
-
Spectral and Scattering Theory for Second Order Partial Differential Operators
-
Modeling and Inverse Problems in the Presence of Uncertainty
-
Dictionary of Inequalities
-
Cremona Groups and the Icosahedron
-
Markov Random Flights
-
Willmore Energy and Willmore Conjecture
-
Mathematical Modelling of Waves in Multi-Scale Structured Media
-
Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
-
Tools for Infinite Dimensional Analysis
-
Applications of Homogenization Theory to the Study of Mineralized Tissue
-
Matrix Inequalities and Their Extensions to Lie Groups
-
Calculus of Variations and Control Theory
-
A Course on Malliavin-Skorohod Calculus for Additive Processes with Applications to Finance
-
Beyond the Gibbs Paradigm
-
Unbounded Operators and Subnormality
-
Free Random Variables
-
Non-Newtonian Sequence Spaces with Applications
The book can be used for a Master and/or PhD. level graduate course in science and engineering and can be useful to researchers from any eld of engineering, health, physical, chemical and biological sciences.
-Constantin Popa, Zentralblatt MATH
Daniele Bertaccini, Ph.D is currently a professor at Università di Roma Tor Vergata. Fabio Durastante, Ph.D is a postdoctoral researcher. Their research interests are mainly the large and sparse and/or structured linear systems arising in the numerical solution of partial and fractional differential equations with their applications in fluid dynamics, optimization and imaging.
| SKU | Unavailable |
| ISBN 13 | 9781498764162 |
| ISBN 10 | 1498764169 |
| Title | Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications |
| Author | Daniele Bertaccini |
| Series | Chapman And Hall Crc Monographs And Research Notes In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Taylor & Francis Inc |
| Year published | 2018-02-28 |
| Number of pages | 354 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |