Neurons: a numerical approach.
Neutron transport theory in the multigroup energetical approximation (Preliminary communication)
Nevanlinna Theory, Diophantine Approximation, and Numerical Analysis.
New a posteriori and -error estimates of mixed finite element methods for general nonlinear parabolic optimal control problems
We study new a posteriori error estimates of the mixed finite element methods for general optimal control problems governed by nonlinear parabolic equations. The state and the co-state are discretized by the high order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a posteriori error estimates in -norm and -norm for both the state, the co-state and the control approximation. Such estimates, which seem to be new, are an important...
New algorithm for polynomial spectral factorization with quadratic convergence. II
New algorithm for polynomial spectral factorization with quadratic convergence. I
New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method.
New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
New approximate solutions per unit of time for periodically checked systems with different lifetime distributions.
New block triangular preconditioners for saddle point linear systems with highly singular blocks.
New constructions of piecewise-constant wavelets.
New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations
New efficient numerical method for 3D point cloud surface reconstruction by using level set methods
In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency is...
New Einstein metrics on which are non-naturally reductive
We prove that there are at least two new non-naturally reductive invariant Einstein metrics on . It implies that every compact simple Lie group ...
New Error Bounds for the Penalty Method and Extrapolation.
New error inequalities for the Lagrange interpolating polynomial.
New estimates and tests of independence in semiparametric copula models
We introduce new estimates and tests of independence in copula models with unknown margins using -divergences and the duality technique. The asymptotic laws of the estimates and the test statistics are established both when the parameter is an interior or a boundary value of the parameter space. Simulation results show that the choice of -divergence has good properties in terms of efficiency-robustness.
New functional spaces and linear nonstationary problems of mathematical physics
New hybrid conjugate gradient method for nonlinear optimization with application to image restoration problems
The conjugate gradient method is one of the most effective algorithm for unconstrained nonlinear optimization problems. This is due to the fact that it does not need a lot of storage memory and its simple structure properties, which motivate us to propose a new hybrid conjugate gradient method through a convex combination of and . We compute the convex parameter using the Newton direction. Global convergence is established through the strong Wolfe conditions. Numerical experiments show the...
New inequalities obtained by means of quadrature formulae.