
Silviu-Dumitru Pavăl"Gheorghe Asachi" Technical University of Iasi · Computer Engineering
Silviu-Dumitru Pavăl
Doctor of Philosophy
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12
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Publications
Publications (12)
The paper concerns a nonlinear second-order system of coupled PDEs, having the principal part in divergence form and subject to in-homogeneous dynamic boundary conditions, for both θ(t,x) and φ(t,x). Two main topics are addressed here, as follows. First, under a certain hypothesis on the input data, f1, f2, w1, w2, α, ξ, θ0, α0, φ0, and ξ0, we prov...
The C-Nail® system is a novel intramedullary fixation method for displaced intra-articular calcaneal fractures. The aim of this study was to evaluate the biomechanical performance of the C-Nail® system and compare it with conventional plate fixation for the treatment of displaced intra-articular calcaneal fractures using finite element analysis. Th...
The paper is concerned with two main topics, as follows. In the first instance, a serious qualitative analysis is performed for a second-order system of coupled PDEs, equipped with nonlinear anisotropic diffusion and cubic nonlinear reaction, as well as in-homogeneous Neumann boundary conditions. The PDEs system is implementing a SEIRD (Susceptible...
In our current paper we are introducing a new method to enhance semantic image segmentation accuracy of a U-Net neural network model by integrating it with a mathematical model based on reaction-diffusion equations.
The methods currently used for semantic image segmentation, including U-Net neural networks, are processing images as blocks of pixels...
In this paper we are addressing two main topics, as follows. First, a rigorous qualitative study is elaborated for a second-order parabolic problem, equipped with nonlinear anisotropic diffusion and cubic nonlinear reaction, as well as non-homogeneous Cauchy-Neumann boundary conditions. Under certain assumptions on the input data: f(t,x), w(t,x) an...
In this paper we propose and compare two methods to optimize the numerical computations for the diffusion term in a nonlocal formulation for a reaction-diffusion equation. The diffusion term is particularly computationally intensive due to the integral formulation, and thus finding a better way of computing its numerical approximation could be of i...
The paper concerns with an implicit first-order in time, finite-differences in space, method to solve numerically a reaction-diffusion equation endowed with a cubic nonlinearity, and non-homogeneous Neumann boundary conditions. Numerical tests for the Allen-Cahn equation are presented and analyzed in terms of the physical quantities of interest.
We present the error analysis of three time-stepping schemes used in the discretization of a nonlinear reaction-diffusion equation with Neumann boundary conditions, relevant in phase transition. We prove L∞ stability by maximum principle arguments, and derive error estimates using energy methods for the implicit Euler, and two implicit-explicit app...
Elemente de bază ale sistemului de operare Linux; Sisteme de fişiere în Linux; Prelucrarea fişierelor text; Procese şi gestiunea memoriei; Programare sub shell-ul bash; Reţele de calculatoare; Pachete de programe; Instalarea distribuţiei Linux Mandrake; Sistemul de management al fişierelor; Resurse Linux pe Internet.