A computational domain decomposition approach for solving coupled flow-structure-thermal interaction problems.
A Computational Framework to Assess the Efficacy of Cytotoxic Molecules and Vascular Disrupting Agents against Solid Tumours
A computational framework for testing the effects of cytotoxic molecules, specific to a given phase of the cell cycle, and vascular disrupting agents (VDAs) is presented. The model is based on a cellular automaton to describe tumour cell states transitions from proliferation to death. It is coupled with a model describing the tumour vasculature and its adaptation to the blood rheological constraints when alterations are induced by VDAs treatment....
A computational investigation of an integro-differential inequality with periodic potential.
A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues.
A Computational Procedure for the Approximation of Random Functions.
A Computational Solution for a Matrix Riccati Differential Equation.
A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality of the package's tools...
A conception of optimality for algorithms and its application to the optimal search for a minimum
A conforming finite element method with Lagrange multipliers for the biharmonic problem
A conjecture on multivariate polynomial interpolation.
La generalización de las fórmulas de interpolación de Lagrange y Newton a varias variables es uno de los temas habituales de estudio en interpolación polinómica. Dos clases de configuraciones geométricas particularmente interesantes en el plano fueron obtenidas por Chung y Yao en 1978 para la fórmula de Lagrange y por Gasca y Maeztu en 1982 para la de Newton. Estos últimos autores conjeturaron que toda configuración de la primera clase es de la segunda, y probaron que el recíproco no es cierto....
A conjugate direction method for approximating the analytic center of a polytope.
A Conjugate Gradient Method and a Multigrid Algorithm for Morley' s Finite Element Approximation of the Biharmonic Equation.
A conjugate gradient method with quasi-Newton approximation
The conjugate gradient method of Liu and Storey is an efficient minimization algorithm which uses second derivatives information, without saving matrices, by finite difference approximation. It is shown that the finite difference scheme can be removed by using a quasi-Newton approximation for computing a search direction, without loss of convergence. A conjugate gradient method based on BFGS approximation is proposed and compared with existing methods of the same class.
A conjugate gradient method with sufficient descent and global convergence for unconstrained nonlinear optimization.
A conservative finite difference scheme for static diffusion equation.
A conservative particle approximation for a boundary advection-diffusion problem
A conservative spectral element method for the approximation of compressible fluid flow
A method to approximate the Euler equations is presented. The method is a multi-domain approximation, and a variational form of the Euler equations is found by making use of the divergence theorem. The method is similar to that of the Discontinuous-Galerkin method of Cockburn and Shu, but the implementation is constructed through a spectral, multi-domain approach. The method is introduced and is shown to be a conservative scheme. A numerical example is given for the expanding flow around a point...
A Constant Space Representation of Digital Cubic Parabolas
A Constraint Linearization Method for Nondifferentiable Convex Minimization.
A Construction of Monotonically Convergent Sequences from Successive Approximations in Certain Banach Spaces.