Listing 1 - 2 of 2 |
Sort by
|
Choose an application
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.
Inequalities (Mathematics) --- Differential equations. --- Integral equations.
Choose an application
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.
Algebra --- Partial differential equations --- Numerical analysis --- Computer science --- differentiaalvergelijkingen --- algebra --- matrices --- algoritmen --- numerieke analyse --- Mathematics. --- Matrices --- Algebra. --- Integral equations. --- Differential equations, Partial. --- Algorithms. --- Numerical analysis. --- Mathématiques --- Algèbre --- Équations intégrales --- Équations aux dérivées partielles --- Algorithmes --- Analyse numérique --- Data processing. --- Informatique
Listing 1 - 2 of 2 |
Sort by
|