New Richardson's Extrapolation Spreadsheet Calculator Using VBA Programming for Numerical Differentiations

被引:1
|
作者
Tay, Kim Gaik [1 ]
Kek, Sie Long [2 ]
Abdul-Kahar, Rosmila
机构
[1] Univ Tun Hussein Onn Malaysia, Fac Elect & Elect Engn, Batu Pahat, Johor, Malaysia
[2] Univ Tun Hussein Onn Malaysia, Fac Sci Technol & Human Dev, Dept Math & Stat, Batu Pahat, Kagawa, Malaysia
关键词
Spreadsheet calculator; Richardson's extrapolation; numerical differentiation;
D O I
10.1063/1.4915696
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we have further improved the limitations of our previous two Richardson's extrapolation spreadsheet calculators for computing differentiations numerically. The new feature in this new Richardson's extrapolation spreadsheet calculator is fully automated up to any level based on the stopping criteria using VBA programming. The new version is more flexible because it is controlled by programming. Furthermore, it reduces computational time and CPU memory.
引用
收藏
页数:4
相关论文
共 33 条
  • [1] A Richardson's Extrapolation Spreadsheet Calculator for Numerical Differentiation
    Tay, Kim Gaik
    Kek, Sie Long
    Abdul-Kahar, Rosmila
    Azlan, Mohd Azwir
    Lee, Ming Foong
    SPREADSHEETS IN EDUCATION, 2013, 6 (02):
  • [2] Improved Richardson's Extrapolation Spreadsheet Calculator for Numerical Differentiation
    Tay, Kim Gaik
    Kek, Sie Long
    Abdul-Kahar, Rosmila
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 740 - 743
  • [3] A remark on Richardson's extrapolation process and numerical differentiation formulae
    Dubeau F.
    Journal of Computational Physics: X, 2019, 2
  • [4] The Fourth Order Runge-Kutta Spreadsheet Calculator Using VBA Programing For Ordinary Differential Equations
    Tay, Kim Gaik
    Kek, Sie Long
    Cheong, Tau Han
    Abdul-Kahar, Rosmila
    Lee, Ming Foong
    4TH WORLD CONGRESS ON TECHNICAL VOCATIONAL EDUCATION AND TRAINING (4THWOCTVET), 2015, 204 : 231 - 239
  • [5] Estimation of the accuracy of numerical simulations using Richardson extrapolation and a Hessian technique
    de Saint Victor, Xavier
    INTERNATIONAL JOURNAL OF ENGINEERING SYSTEMS MODELLING AND SIMULATION, 2010, 2 (1-2) : 25 - 37
  • [6] Edge Detection Method Using Richardson's Extrapolation Formula
    Halder, Amiya
    Bhattacharya, Pritam
    Kundu, Aritra
    SOFT COMPUTING IN DATA ANALYTICS, SCDA 2018, 2019, 758 : 727 - 733
  • [7] Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
    Gonzalez-Parra, Gilberto
    Arenas, Abraham J.
    Chen-Charpentier, Benito M.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (7-8) : 1030 - 1036
  • [8] High-order TVB discretizations in time using Richardson's extrapolation
    Amat, S.
    Busquier, S.
    Gomez, M. A.
    Manzano, F.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (12) : 1625 - 1634
  • [9] Calculation of numerical uncertainty using Richardson extrapolation: Application to some simple turbulent flow calculations
    Celik, I
    Zhang, WM
    JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1995, 117 (03): : 439 - 445
  • [10] The Euler's Graphical User Interface Spreadsheet Calculator For Solving Ordinary Differential Equations By Visual Basic For Application Programming
    Tay, Kim Gaik
    Cheong, Tau Han
    Lee, Ming Foong
    Kek, Sie Long
    Abdul-Kahar, Rosmila
    INTERNATIONAL RESEARCH AND INNOVATION SUMMIT (IRIS2017), 2017, 226