A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems.
A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces.
A hybrid method for nonlinear least squares that uses quasi-Newton updates applied to an approximation of the Jacobian matrix
In this contribution, we propose a new hybrid method for minimization of nonlinear least squares. This method is based on quasi-Newton updates, applied to an approximation of the Jacobian matrix , such that . This property allows us to solve a linear least squares problem, minimizing instead of solving the normal equation , where is the required direction vector. Computational experiments confirm the efficiency of the new method.
A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
The invasive capability is fundamental in determining the malignancy of a solid tumor. Revealing biomedical strategies that are able to partially decrease cancer invasiveness is therefore an important approach in the treatment of the disease and has given rise to multiple in vitro and in silico models. We here develop a hybrid computational framework, whose aim is to characterize the effects of the different cellular and subcellular mechanisms involved...
A hybrid multigrid method for the steady-state incompressible Navier-Stokes equations.
A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems
The present paper is devoted to the computation of single phase or two phase flows using the single-fluid approach. Governing equations rely on Euler equations which may be supplemented by conservation laws for mass species. Emphasis is given on numerical modelling with help of Godunov scheme or an approximate form of Godunov scheme called VFRoe-ncv based on velocity and pressure variables. Three distinct classes of closure laws to express the internal energy in terms of pressure, density and additional...
A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems
The present paper is devoted to the computation of single phase or two phase flows using the single-fluid approach. Governing equations rely on Euler equations which may be supplemented by conservation laws for mass species. Emphasis is given on numerical modelling with help of Godunov scheme or an approximate form of Godunov scheme called VFRoe-ncv based on velocity and pressure variables. Three distinct classes of closure laws to express the internal energy in terms of pressure, density...
A hybrid semi-primitive shock capturing scheme for conservation laws.
A hybrid-extragradient scheme for system of equilibrium problems, nonexpansive mappings, and monotone mappings.
A hyperbolic model for convection-diffusion transport problems in CFD: numerical analysis and applications.
In this paper we present a numerical study of the hyperbolic model for convection-diffusion transport problems that has been recently proposed by the authors. This model avoids the infinite speed paradox, inherent to the standard parabolic model and introduces a new parameter called relaxation time. This parameter plays the role of an “inertia” for the movement of the pollutant. The analysis presented herein is twofold: first, we perform an accurate study of the 1D steady-state equations and its...
A hyperbolic model of chemotaxis on a network: a numerical study
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented to show the...
A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis.
A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations.
A Jacobi eigenreduction algorithm for definite matrix pairs.
A Jacobi Type Method for Complex Symmetric Matrices.
A Kaczmarz-Kovarik algorithm for symmetric ill-conditioned matrices.
A Kantorovich-type Convergence Analysis for the Gauss-Newton-Method.
A kinetic model of tumor/immune system cellular interactions.
A Laplace decomposition algorithm applied to a class of nonlinear differential equations.
A Least Squares Method for Finding the Preisach Hysteresis Operator from Measurements.