Truncation Error Bounds for Modified Continued Fractions with Applications to Special Functions.
T-stability approach to variational iteration method for solving integral equations.
Tubular NURB surfaces with boundary control.
Tubular splines using a higher dimensional representation.
Tumour angiogenesis model with variable vessels' effectiveness
We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical properties...
Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations.
Tutorials on Adaptive multiresolution for mesh refinement applied to fluid dynamics and reactive media problems
This work aims at evaluating in practical situations the capability of the mesh refinement technique based on the multiresolution adaptive method coupled with high resolution spatial and temporal approximations, to recover elementary physical mechanisms by achieving gains in both CPU time and memory use compared to single grid computations. We first present a summary of the multiresolution procedure. We then describe MR algorithms. Finally, the evaluation of the method is presented on several well...
Two and Three-Dimensional Art Inspired by Polynomiography
Two classes of numerical methods for stiff problems
Two Composition Methods for Solving Certain Systems of Linear Equations.
Two conservative difference schemes for the generalized Rosenau equation.
Two Families of Mixed Finite Elements for Second Order Elliptic Problems.
Two free-boundary problems with singularities
Two implementations of the preconditioned conjugate gradient method on heterogeneous computing grids
Efficient iterative solution of large linear systems on grid computers is a complex problem. The induced heterogeneity and volatile nature of the aggregated computational resources present numerous algorithmic challenges. This paper describes a case study regarding iterative solution of large sparse linear systems on grid computers within the software constraints of the grid middleware GridSolve and within the algorithmic constraints of preconditioned Conjugate Gradient (CG) type methods. We identify...
Two inequalities for means.
Two inverse eigenproblems for symmetric doubly arrow matrices.
Two methods for optical flow estimation
In this paper we describe two methods for optical flow estimation between two images. Both methods are based on the backward tracking of characteristics for advection equation and the difference is on the choice of advection vector field. We present numerical experiments on 2D data of cell nucleus.
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem.
Two Numerical Methods for the elliptic Monge-Ampère equation
The numerical solution of the elliptic Monge-Ampère Partial Differential Equation has been a subject of increasing interest recently [Glowinski, in 6th International Congress on Industrial and Applied Mathematics, ICIAM 07, Invited Lectures (2009) 155–192; Oliker and Prussner, Numer. Math.54 (1988) 271–293; Oberman, Discrete Contin. Dyn. Syst. Ser. B10 (2008) 221–238; Dean and Glowinski, in Partial differential equations, Comput. Methods Appl. Sci. 16 (2008) 43–63; Glowinski et al., Japan...