Algorithmes numériques et calcul haute performance - Chaire CADMOS

Chaire

Publications associées (333)

Effects of fibinolysis on neurite growth from dorsal root ganglia cultured in two- and three-dimensional fibrin gels

Jeffrey Alan Hubbell

The mechanism of neurite penetration of three-dimensional fibrin matrices was investigated by culturing embryonic chick dorsal root ganglia (DRGs) within fibrin gels, upon fibrin gels, and upon laminin. The length of neurites within three-dimensional matri ...

1996

Spectral element discretization of the unsteady Navier-Stokes equations and its iterative solution on parallel computers

In this thesis we will show that unsteady, incompressible fluid-flow problems, as described by the three-dimensional Navier-Stokes equations, can efficiently be simulated by a parallel computer code based on a spectral element discretization. This efficien ...

EPFL1995

A look-ahead block Schur algorithm for Toeplitz-like matrices

Ali H. Sayed

We derive a look-ahead recursive algorithm for the block triangular factorization of Toeplitz-like matrices. The derivation is based on combining the block Schur/Gauss reduction procedure with displacement structure and leads to an efficient block-Schur co ...

Society for Industrial and Applied Mathematics1995

Fast algorithms for generalized displacement structures and lossless systems

Ali H. Sayed

We derive an efficient recursive procedure for the triangular factorization of strongly regular matrices with generalized displacement structure that includes, as special cases, a variety of previously studied classes such as Toeplitz-like and Hankel-like ...

Elsevier1995

Infiltration under ponded conditions: 4. An explicit predictive infiltration formula

David Andrew Barry

An approximation to an implicit infiltration formula presented earlier in this series is developed. At worst, the relative error of the approximation is always less than 1%, and it is much better than that for most cases. The approximation becomes more acc ...

Lippincott, Williams & Wilkins1995

Time-variant displacement structure and triangular arrays

Ali H. Sayed

The authors extend the concept of displacement structure to time-variant matrices and use it to efficiently and recursively propagate the Cholesky factor of such matrices. A natural implementation of the algorithm is via a modular triangular array of proce ...

IEEE1994

A recursive Schur-based solution of the four-block problem

Ali H. Sayed

We describe a new solution to the four-block problem using the method of generalized Schur analysis. We first reduce the general problem to a simpler one by invoking a coprime factorization with a block-diagonal inner matrix. Then, using convenient spectra ...

IEEE1994

Recursive solutions of rational interpolation problems via fast matrix factorization

Ali H. Sayed

We describe a novel approach to analytic rational interpolation problems of the Hermite-Fejér type, based on the fast generalized Schur algorithm for the recursive triangular factorization of structured matrices. We use the interpolation data to construct ...

Birkhäuser Basel1994

Structured matrices and unconstrained rational interpolation problems

Ali H. Sayed

We describe a fast recursive algorithm for the solution of an unconstrained rational interpolation problem by exploiting the displacement structure concept. We use the interpolation data to implicitly define a convenient non-Hermitian structured matrix, an ...

North-Holland1994

Generalized Chandrasekhar recursions from the generalized Schur algorithm

Ali H. Sayed

Presents a new approach to the Chandrasekhar recursions and some generalizations thereof. The derivation uses the generalized Schur recursions, which are O(N/sup 2/) recursions for the triangular factorization of N/spl times/N matrices having a certain Toe ...

IEEE1994