The discrete collocation method for nonlinear integral equations

Article Properties
Cite
ATKINSON, K., and J. FLORES. “The Discrete Collocation Method for Nonlinear Integral Equations”. IMA Journal of Numerical Analysis, vol. 13, no. 2, 1993, pp. 195-13, https://doi.org/10.1093/imanum/13.2.195.
ATKINSON, K., & FLORES, J. (1993). The discrete collocation method for nonlinear integral equations. IMA Journal of Numerical Analysis, 13(2), 195-213. https://doi.org/10.1093/imanum/13.2.195
ATKINSON K, FLORES J. The discrete collocation method for nonlinear integral equations. IMA Journal of Numerical Analysis. 1993;13(2):195-213.
Citations
Title Journal Journal Categories Citations Publication Date
Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions Engineering with Computers
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Discrete projection methods for Fredholm–Hammerstein integral equations using Kumar and Sloan technique Calcolo
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Numerical solutions of a class of linear and nonlinear Volterra integral equations of the third kind using collocation method based on radial basis functions Computational and Applied Mathematics
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Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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Numerical solution of third-kind Volterra integral equations with proportional delays based on moving least squares collocation method International Journal of Computer Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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Citations Analysis
The category Science: Mathematics 52 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The iterative correction method for Volterra integral equations and was published in 1996. The most recent citation comes from a 2024 study titled Numerical solution of third-kind Volterra integral equations with proportional delays based on moving least squares collocation method. This article reached its peak citation in 2019, with 7 citations. It has been cited in 26 different journals, 3% of which are open access. Among related journals, the Journal of Computational and Applied Mathematics cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year