Discontinuous Legendre wavelet element method for elliptic partial differential equations

Article Properties
Cite
Zheng, Xiaoyang, et al. “Discontinuous Legendre Wavelet Element Method for Elliptic Partial Differential Equations”. Applied Mathematics and Computation, vol. 218, no. 7, 2011, pp. 3002-18, https://doi.org/10.1016/j.amc.2011.08.045.
Zheng, X., Yang, X., Su, H., & Qiu, L. (2011). Discontinuous Legendre wavelet element method for elliptic partial differential equations. Applied Mathematics and Computation, 218(7), 3002-3018. https://doi.org/10.1016/j.amc.2011.08.045
Zheng X, Yang X, Su H, Qiu L. Discontinuous Legendre wavelet element method for elliptic partial differential equations. Applied Mathematics and Computation. 2011;218(7):3002-18.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Local discontinuous Galerkin methods for the Stokes system SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2002
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 668 2009
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 668 2009
Techniques for solving integral and differential equations by Legendre wavelets International Journal of Systems Science
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Manufactures: Production management. Operations management
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
 16 2009
Multivariate Regression and Machine Learning with Sums of Separable Functions SIAM Journal on Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 55 2009
Refrences Analysis
Category Category Repetition
Science: Mathematics13
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods11
Technology: Engineering (General). Civil engineering (General)4
Technology: Mechanical engineering and machinery4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Technology: Manufactures: Production management. Operations management2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Science: Physics2
The category Science: Mathematics 13 is the most frequently represented among the references in this article. It primarily includes studies from SIAM Journal on Numerical Analysis The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A Novel Feature Extraction Method Based on Legendre Multi-Wavelet Transform and Auto-Encoder for Steel Surface Defect Classification IEEE Access
  • Technology: Electrical engineering. Electronics. Nuclear engineering
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
 2024
Discontinuous Legendre Wavelet Element Method for Reaction–Diffusion Equation from Mathematical Chemistry

 International Journal of Computational Methods
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
 2019
Estimates of Approximation Error by Legendre Wavelet Applied Mathematics 2 2016
Legendre wavelet for power amplifier linearization Analog Integrated Circuits and Signal Processing
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
 2015
Study on affecting factors of temperature–pressure–stress-coupled field of lpg tank under fire based on Legendre wavelet finite element method

 Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
  • Technology: Mechanical engineering and machinery
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
 2 2015
Citations Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Technology: Electrical engineering. Electronics. Nuclear engineering1
Science: Science (General): Cybernetics: Information theory1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
Technology: Mechanical engineering and machinery1
Science: Mathematics1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
The category Technology: Engineering (General). Civil engineering (General) 3 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Study on affecting factors of temperature–pressure–stress-coupled field of lpg tank under fire based on Legendre wavelet finite element method and was published in 2015. The most recent citation comes from a 2024 study titled A Novel Feature Extraction Method Based on Legendre Multi-Wavelet Transform and Auto-Encoder for Steel Surface Defect Classification. This article reached its peak citation in 2015, with 3 citations. It has been cited in 5 different journals, 20% of which are open access. Among related journals, the Applied Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year