Numerical Caseology by Lagrange Interpolation for the 1D Neutron Transport Equation in a Slab
نویسندگان
چکیده
Here, we are concerned with a new, highly precise, numerical solution to the one-dimensional neutron transport equation based on Case’s analytical, singular eigenfunction expansion (SEE). While considerable number of solutions currently exist, understandably, because its complexity even in one dimension, there only few truly analytical equation. In 1960, Case introduced consistent theory SEE for variety idealized problems and forever changed landscape theory. Several methods, including Fn method, were What is presented yet another, called Lagrange order N method (LNM) featuring simplicity precision but more convenient natural Lagrangian polynomial basis.
منابع مشابه
Local Interpolation by a Quadratic Lagrange Finite Element in 1d
We analyse the error of interpolation of functions from the space H(a, c) in the nodes a < b < c of a regular quadratic Lagrange finite element in 1D by interpolants from the local function space of this finite element. We show that the order of the error depends on the way in which the mutual positions of nodes a, b, c change as the length of interval [a, c] approaches zero.
متن کاملAn explicit stable numerical scheme for the 1D transport equation
We derive in this paper a numerical scheme in order to calculate solutions of 1D transport equations. This 2nd-order scheme is based on the method of characteristics and consists of two steps: The first step is about the approximation of the foot of the characteristic curve whereas the second one deals with the computation of the solution at this point. The main idea in our scheme is to combine...
متن کاملThe numerical stability of barycentric Lagrange interpolation
The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a modified Lagrange form and a barycentric form. We give an error analysis of the evaluation of the interpolating polynomial using these two forms. The modified Lagrange formula is shown to be backward stable. The barycentric formula has a less favourable error analysis, bu...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
ذخیره 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: Nuclear Science and Engineering
سال: 2022
ISSN: ['0029-5639', '1943-748X']
DOI: https://doi.org/10.1080/00295639.2022.2097494