New Possibilities and Applications of the Least Squares Collocation Method
نویسندگان
چکیده
منابع مشابه
Least – Squares Method For Estimating Diffusion Coefficient
Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...
متن کاملLEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT
Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.
متن کاملThe Method of Least Squares
This note calls attention to a variant formulation of the least-squares adjustment procedure [1] that should prove increasingly attractive as electronic dataprocessing equipment becomes ever more widely available. It indicates that the statistician need not concern himself with the two rituals featured in traditional textbook presentations—namely, the construction and solution of the convention...
متن کاملRobust Least Squares and Applications
We consider least-squares problems where the coef-cient matrices A; b are unknown-but-bounded. We minimize the worst-case residual error using (convex) second-order cone programming (SOCP), yielding an algorithm with complexity similar to one singular value decomposition of A. The method can be interpreted as a Tikhonov regularization procedure, with the advantage that it provides an exact boun...
متن کاملSolution of the Advective-Dispersive Transport Equation Using a Least Squares Collocation, Eulerian-Lagrangian Method
Numerical solution of the advective-dispcrsivc transport equation is difficult whcn advection dominatcs. Difficulties arise because of thc first-ordcr spalial dcrivatives which can be eliminatcd by a local coordinate transformation to the charactcristic lines of Ihe first order hypcrbolic portion of the equation. The resulting differential equation is discretized using a finite difference in ti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2018
ISSN: 2100-014X
DOI: 10.1051/epjconf/201817301012