Search results for " Convergence"

A normalized iterative Smoothed Particle Hydrodynamics method

2020

Abstract In this paper we investigate on a normalized iterative approach to improve the Smoothed Particle Hydrodynamics (SPH) estimate of a function. The method iterates on the residuals of an initial SPH approximation to obtain a more accurate solution. The iterative strategy preserves the matrix-free nature of the method, does not require changes on the kernel function and it is not affected by disordered data distribution. The iterative refinement is further improved by ensuring linear approximation order to the starting iterative values. We analyze the accuracy and the convergence of the method with the standard and normalized formulation giving evidence of the enhancements obtained wit…

The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media

2012

A novel methodology is proposed for the solution of the flow equation in a variably saturated heterogeneous porous medium. The computational domain is descretized using triangular meshes and the governing PDEs are discretized using a lumped in the edge centres numerical technique. The dependent unknown variable of the problem is the piezometric head. A fractional time step methodology is applied for the solution of the original system, solving consecutively a prediction and a correction problem. A scalar potential of the flow field exists and in the prediction step a MArching in Space and Time (MAST) formulation is applied for the sequential solution of the Ordinary Differential Equation of…

Upstream Product Market Regulations, ICT, R&D and Productivity

2017

Our study aims to assess the actual importance of the two main channels via which upstream anti-competitive sector regulations are usually considered to impact productivity growth, i.e. by acting as a disincentive to business investments in R&D and in ICT. We estimate the specific impacts of these two channels and their shares in the total impact as opposed to alternative channels of investments in other forms of intangible capital that we cannot explicitly consider for lack of appropriate data such as improvements in skills, management and organization. To achieve this, we specify an extended production function explicitly relating productivity to R&D and ICT capital as well as to upstream…

Zobārstu pilnā vainaga preparātu konverģences pārbaude Latvijā, laboratorijas pētījums

2020

Ievads: Vienas vienības kroņa vai fiksētas daļējas protēzes saglabāšana un pretestība ir divi mehāniski faktori, kas ir saistīti ar veiktās atjaunošanas prognozi. Publicētajā literatūrā tiek atbalstīti īpaši zoba sagatavošanas parametri kroņa uzlikšanai. Preparācijas vertikālajām sienām jābūt ar konverģences leņķi no 10-14 grādiem, lai nodrošinātu kroņa saglabāšanu. Šo parametru neievērošana rada lielāku risku zaudēt kroņa saglabāšanu. Tomēr pētījumi liecina, ka šie kritēriji parasti netiek ievēroti. Nespēja ierobežot vertikālās sienas konverģenci (kopējo okluzālo konverģenci) izraisa protēzes struktūras zudumu, kariesu, palielina zobu struktūras zūdumu preparēšanas laikā un samazinā zoba p…

Approximation properties of q-Kantorovich-Stancu operator

2015

In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.

Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem

2016

We consider a constrained optimization problem arising from the study of the Helmholtz equation in unbounded domains. The optimization problem provides an approximation of the solution in a bounded computational domain. In this paper we prove some estimates on the rate of convergence to the exact solution.

On the Convergence of Formal Integrals in Finite Time

1982

Consider a differential system: x = f (x) + e g(x), \(x \in {R^n}.\). Let h(x) = ho(x) + eh1 (x)... a “third” integral. For finite time t, I obtain an eo such that the series h(x) converges if e > eo. When t tends to infinite, eo tends to zero.

Approximation method for computationally expensive nonconvex multiobjective optimization problems

2012

Variational Henstock integrability of Banach space valued functions

2016

We study the integrability of Banach space valued strongly measurable functions defined on $[0,1]$. In the case of functions $f$ given by $\sum \nolimits _{n=1}^{\infty } x_n\chi _{E_n}$, where $x_n $ are points of a Banach space and the sets $E_n$ are Lebesgue measurable and pairwise disjoint subsets of $[0,1]$, there are well known characterizations for Bochner and Pettis integrability of $f$. The function $f$ is Bochner integrable if and only if the series $\sum \nolimits _{n=1}^{\infty }x_n|E_n|$ is absolutely convergent. Unconditional convergence of the series is equivalent to Pettis integrability of $f$. In this paper we give some conditions for variational Henstock integrability of a…

On the equivalence between the Scheduled Relaxation Jacobi method and Richardson's non-stationary method

2017

The Scheduled Relaxation Jacobi (SRJ) method is an extension of the classical Jacobi iterative method to solve linear systems of equations ($Au=b$) associated with elliptic problems. It inherits its robustness and accelerates its convergence rate computing a set of $P$ relaxation factors that result from a minimization problem. In a typical SRJ scheme, the former set of factors is employed in cycles of $M$ consecutive iterations until a prescribed tolerance is reached. We present the analytic form for the optimal set of relaxation factors for the case in which all of them are different, and find that the resulting algorithm is equivalent to a non-stationary generalized Richardson's method. …