Discrete Iterations by Francois Robert
a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large, jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy- sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.-
Numerical Analysis for Elliptic Optimal Control Problems
-
Introduction to Shape Optimization
-
Numerical Methods for Two-phase Incompressible Flows
-
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
-
Spectral Methods
-
The Graduate Student's Guide to Numerical Analysis '98
-
The Linearization Method for Constrained Optimization
-
Hilbert Space Splittings and Iterative Methods
-
The Concept of Stability in Numerical Mathematics
-
Monotone Discretizations for Elliptic Second Order Partial Differential Equations
-
Boundary Element Methods
-
History of Continued Fractions and Padé Approximants
-
Method of Difference Potentials and Its Applications
-
Newton Methods for Nonlinear Problems
-
High Order Difference Methods for Time Dependent PDE
-
Logarithmic Norms
-
Minimization Methods for Non-Differentiable Functions
-
Numerical Toolbox for Verified Computing I
-
Hierarchical Matrices: Algorithms and Analysis
-
Mixed and Hybrid Finite Element Methods
-
Solving Elliptic Problems Using ELLPACK
-
Numerical Techniques for Stochastic Optimization
-
Numerical Continuation Methods
-
Krylov Methods for Nonsymmetric Linear Systems
-
Progress in Approximation Theory
-
Sequence Transformations
-
Nonlinear Approximation Theory
-
Moduli of Smoothness
-
Numerical Methods Based on Sinc and Analytic Functions
-
Krylov Subspace Methods for Linear Systems
-
Advanced Boundary Element Methods
-
Retarded Potentials and Time Domain Boundary Integral Equations
-
Numerical Modeling in Materials Science and Engineering
-
Robust Numerical Methods for Singularly Perturbed Differential Equations
-
Finite Element Methods for Incompressible Flow Problems
-
Solving Ordinary Differential Equations I
-
Solving Ordinary Differential Equations II
-
Tensor Spaces and Numerical Tensor Calculus
-
Matrix Iterative Analysis
Francois Robert was born in Switzerland, where he studied and worked in graphic design. Francois and Jane Gittings now run their own photography studio in Arizona.
Jean Robert is a graphic designer who lives in Zurich.
Jean Robert is a graphic designer who lives in Zurich.
| SKU | Unavailable |
| ISBN 13 | 9783642648823 |
| ISBN 10 | 3642648827 |
| Title | Discrete Iterations |
| Author | Francois Robert |
| Series | Springer Series In Computational Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2011-10-06 |
| Number of pages | 198 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |