We prove the two dimensional KPZ equation with a logarithmically tuned nonlinearity and a small coupling constant, scales to the Edwards–Wilkinson equation with an effective variance.doi:10.1007/s40072-019-00144-8Yu GuSpringer USStochastics and Partial Differential Equations: Analysis and Computations...
Ömer23 discussed the numerical solution for 2-D FCE using a meshless numerical method which is based on the hybridization of Gaussian and cubic kernels. Moreover, the FCE is solved on both regular and irregular domains. Nasrin and Abbas24 used the collocation numerical method for the solution...
Journal of Nonlinear Mathematical Physics Volume 14, Number 1 (2007), 95–111 Article A geometric interpretation of the complex tensor Riccati equation for Gaussian beams M F DAHL Institute of Mathematics, Helsinki University of Technology, Box 1100, FIN-02015, Finland E-mail: matias.dahl@tkk....
The solution is thus obtained, from standard numerical techniques, such as Gaussian elimination, Gauss–Siedel iterative methods, LU decomposition methods, etc., by inversion of the matrix A= giving x¯=A−1B¯. 4.2.1 Equations of fluid dynamics Examples of PDEs used in thermal hydraulics...
The homogeneous diffusion equation provides a series solution to the inverse problem in which a Gaussian blurred image can be restored using an appropriate FIR filter which depend on the order of the solution that is considered (i.e. the number of terms in the Taylor series). This approach ...
In this article, we devote ourselves to building a stabilized finite volume element (SFVE) method with a non-dimensional real together with two Gaussian quadratures of the nonlinear incompressible viscoelastic flow equation in a two-dimensional (2D) domain, analyzing the existence, stability, and ...
Inverse matrix Gaussian elimination / Gauss-Jordan eliminationFor example, let's try to find the solution for the following set of simultaneous linear equations with 3 variables⎧⎪⎨⎪⎩x+y−z=1(1)8x+3y−6z=1(2)−4x−y+3z=1(3){x+y−z=1(1)8x+3y−6z...
This repo is to hold the public dataset for EquationGPT, which aims to collect Equation related Q&A corpus to finetune foundation models of GPT/ChatGPT. Each prompt-completion pairs contains information about the latex code for the equation, the meaning of each symbols, and related materials. ...
The solution of the complete coupling problem is given in the particular case of a Gaussian incident beam, and of a high index step-index waveguide. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by others Solution of the...
Planchon, F., Tzvetkov, N., Visciglia, N.: Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation. Math. Ann. 378(1–2), 389–423 (2020) MathSciNet Google Scholar Pocovnicu, O.: Almost sure global well-posedness for the energy-critical defocusing nonline...