High-Order Spatial Simulation Using Legendre-Like Orthogonal Splines
نویسندگان
چکیده
منابع مشابه
High order interpolation and differentiation using B-splines
We present a methodology of high order accuracy that constructs in a systematic way functions which can be used for the accurate interpolation and differentiation of scattered data. The functions are based on linear combination of polynomials (herein B-splines are used). The technique is applied to one-dimensional datasets but can be extended as needed for multidimensional interpolation and dif...
متن کاملRobust Template Matching Using Orthogonal Legendre Moment Invariants
Problem statement: Template matching is a famous methodology that has a wide range of applications in image and signal processing. For a template and input image, template matching methodology finds the partial input image that is most closely matches the template image in terms of specific criterion such as the Euclidean distance or cross-correlation. Approach: In this study, a fast and robust...
متن کاملSome High-order Zero-finding Methods Using Almost Orthogonal Polynomials
Some multipoint iterative methods without memory, for approximating simple zeros of functions of one variable, are described. For m > 0, n ≥ 0, and k satisfying m+1 ≥ k > 0, there exist methods which, for each iteration, use one evaluation of f, f ′, . . . , f (m), followed by n evaluations of f (k), and have order of convergence m + 2n + 1. In particular, there are methods of order 2(n+1) whic...
متن کاملNumerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas th...
متن کاملMüntz Systems and Orthogonal Müntz - Legendre Polynomials
The Müntz-Legendre polynomials arise by orthogonalizing the Müntz system {xxo, xx¡, ...} with respect to Lebesgue measure on [0, 1]. In this paper, differential and integral recurrence formulae for the Müntz-Legendre polynomials are obtained. Interlacing and lexicographical properties of their zeros are studied, and the smallest and largest zeros are universally estimated via the zeros of Lague...
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: Mathematical Geosciences
سال: 2018
ISSN: 1874-8961,1874-8953
DOI: 10.1007/s11004-018-9741-2