Numerical calculation of Fourier transforms based on hyperfunction theory
نویسندگان
چکیده
منابع مشابه
Numerical stability of nonequispaced fast Fourier transforms
This paper presents some new results on numerical stability for multivariate fast Fourier transform of nonequispaced data (NFFT). In contrast to fast Fourier transform (of equispaced data), the NFFT is an approximate algorithm. In a worst case study, we show that both approximation error and roundoff error have a strong influence on the numerical stability of NFFT. Numerical tests confirm the t...
متن کاملtranslation of collocations from english into persian, based on ghazalas theory
غزالا همایندها را به صورت ترکیبی از دو یا چند واژه که همواره در متون مختلف زبان ها همراه با هم می آیند تعریف می نماید. از دیدگاه او روند رو به رشد میل به ترجمه ی همایندها در مطالعات ترجمه، به دلیل اهمیت آنها در انسجام ساختار زبان است. این پایان نامه اساسا به ترجمه ی همایندها منحصر شده است. هدف آن بررسی کاربرد راهکارهای غزالا در مورد ترجمه ی همایندها از انگلیسی به فارسی است. هدف دیگر آن یافتن پر...
15 صفحه اولError Analysis at Numerical Inversion of Multidimensional Laplace Transforms Based on Complex Fourier Series Approximation
In the paper, a technique of the numerical inversion of multidimensional Laplace transforms (nD NILT), based on a complex Fourier series approximation is elaborated in light of a possible ralative error achievable. The detailed error analysis shows a relationship between the numerical integration of a multifold Bromwich integral and a complex Fourier series approximation, and leads to a novel f...
متن کاملViscosity Calculation of Supercritical Gases Based on the Rainwater-Friend Theory and the Modified Enskog Theory
A new correlation function for the calculation of viscosity for five typical supercritical gases is presented using the rainwater-Friend and modified Enskog theory. It is shown that by using accurate value for the thermal pressure and co-volume in the modified Enskog theory, this correlation function is suitable for calculation of the viscosity of supercritical gases, without any density an...
متن کاملParticle Simulation Based on Nonequispaced Fast Fourier Transforms
The fast calculation of long-range interactions is a demanding problem in particle simulation. The main focus of our approach is the decomposition of the problem in building blocks and present efficient numerical realizations for these blocks. For that reason we recapitulate the fast Fourier transform at nonequispaced nodes and the fast summation method. We describe the application of these alg...
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: Journal of Computational and Applied Mathematics
سال: 2020
ISSN: 0377-0427
DOI: 10.1016/j.cam.2020.112921