Inversion of the Laplace Transform Based on the Fourier-Legendre Expansion of the Original Function

被引：1
|
作者：
Kabardov, M. M.
机构：
来源：
VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2008年 / 41卷 / 01期
关键词：
D O I：
10.3103/S1063454108010123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A theorem on the convergence rate of the Fourier-Legendre expansion of the original is proved. The optimal value of the parameter mu in the change of variable x = e(-mu t) is determined.
引用
下载
收藏
页码：71 / 74
页数：4
相关论文
共 50 条
  • [1] NUMERICAL INVERSION OF THE LAPLACE TRANSFORM BASED ON THE FOURIER-BESSEL EXPANSION
    SELEZOV, IT
    KORSUNSKII, SV
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1988, (11): : 24 - 30
  • [2] A Multibaseline PolInSAR Forest Height Inversion Model Based on Fourier-Legendre Polynomials
    Zhang, Bing
    Fu, Haiqiang
    Zhu, Jianjun
    Peng, Xing
    Xie, Qinghua
    Lin, Dongfang
    Liu, Zhiwei
    IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2021, 18 (04) : 687 - 691
  • [3] A Proof of ζ(2)=π2/6 Involving a Fourier-Legendre Expansion
    Campbell, John M.
    AMERICAN MATHEMATICAL MONTHLY, 2024, 131 (04): : 349 - 352
  • [4] AN ASYMPTOTIC EXPANSION FORMULA OF KERNEL FUNCTION FOR QUASI FOURIER-LEGENDRE SERIES AND ITS APPLICATION
    Zhang Peixuan (Shandong University
    Analysis in Theory and Applications, 1997, (01) : 33 - 42
  • [5] A Fourier-Legendre Polynomial Forest Height Inversion Model Based on a Single-Baseline Configuration
    Zhang, Bing
    Zhu, Hongbo
    Xu, Wenxuan
    Xu, Sairu
    Chang, Xinyue
    Song, Weidong
    Zhu, Jianjun
    FORESTS, 2024, 15 (01):
  • [6] A NOTE ON NUMERICAL INVERSION OF LAPLACE TRANSFORM BY LEGENDRE POLYNOMIALS
    HAN, CD
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (02) : 230 - &
  • [7] The Fourier transform and an inversion formula for Laplace transforms
    Pavlov, A. V.
    MATHEMATICAL NOTES, 2011, 90 (5-6) : 775 - 779
  • [8] The Fourier transform and an inversion formula for Laplace transforms
    A. V. Pavlov
    Mathematical Notes, 2011, 90 : 775 - 779
  • [9] On THE NUMERICAL INVERSION OF THE LAPLACE TRANSFORM BY THE USE OF AN OPTIMIZED LEGENDRE POLYNOMIALS
    Amin Boumenir Al-Shuaibi
    Analysis in Theory and Applications, 2000, (04) : 17 - 32
  • [10] Real inversion of a Laplace transform function
    D'Amore, L.
    Murli, A.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 1996, 76 (Suppl 1):
12345