Numerical Integration Over Implicitly Defined Domains with Topological Guarantee

Article Properties
Cite
Yang, Tianhui, et al. “Numerical Integration Over Implicitly Defined Domains With Topological Guarantee”. Communications in Mathematics and Statistics, vol. 7, no. 4, 2019, pp. 459-74, https://doi.org/10.1007/s40304-019-00178-3.
Yang, T., Qarariyah, A., Kang, H., & Deng, J. (2019). Numerical Integration Over Implicitly Defined Domains with Topological Guarantee. Communications in Mathematics and Statistics, 7(4), 459-474. https://doi.org/10.1007/s40304-019-00178-3
Yang, Tianhui, Ammar Qarariyah, Hongmei Kang, and Jiansong Deng. “Numerical Integration Over Implicitly Defined Domains With Topological Guarantee”. Communications in Mathematics and Statistics 7, no. 4 (2019): 459-74. https://doi.org/10.1007/s40304-019-00178-3.
Yang T, Qarariyah A, Kang H, Deng J. Numerical Integration Over Implicitly Defined Domains with Topological Guarantee. Communications in Mathematics and Statistics. 2019;7(4):459-74.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
10.1137/16M1102227 SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2017
10.1134/S1995080216050103 Lobachevskii Journal of Mathematics
  • Science: Mathematics
 2016
Programming finite element methods with weighted B-splines Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 16 2015
High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles SIAM Journal on Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 95 2015
Bioinspired structural materials Nature Materials
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Chemistry
  • Science: Physics
  • Science: Physics
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
 3,070 2015
Refrences Analysis
Category Category Repetition
Science: Mathematics21
Technology: Engineering (General). Civil engineering (General)18
Science: Mathematics: Instruments and machines: Electronic computers. Computer science9
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics6
Technology: Mechanical engineering and machinery5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods5
Science: Physics4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials2
Technology: Manufactures1
Technology: Technology (General): Industrial engineering. Management engineering1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Science: Chemistry: Physical and theoretical chemistry1
Science: Chemistry1
Technology: Chemical technology1
The category Science: Mathematics 21 is the most frequently represented among the references in this article. It primarily includes studies from Computer Methods in Applied Mechanics and Engineering and International Journal for Numerical Methods in Engineering. 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
An adaptive collocation method on implicit domains using weighted extended THB-splines Computer Aided Geometric Design
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • 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
Buckling and post-buckling of variable stiffness plates with cutouts by a single-domain Ritz method Thin-Walled Structures
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 8 2023
Explicit Gaussian Quadrature Rules for $$C^1$$ Cubic Splines with Non-uniform Knot Sequences Communications in Mathematics and Statistics
  • Science: Mathematics
 3 2021
Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2021
An Adaptive Collocation Method with Weighted Extended PHT-Splines Journal of Systems Science and Complexity
  • Science: Mathematics
  • Science: Mathematics
 3 2020
Citations Analysis
Category Category Repetition
Science: Mathematics3
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Technology: Engineering (General). Civil engineering (General)1
Technology: Mechanical engineering and machinery1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
The category Science: Mathematics 3 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled An Adaptive Collocation Method with Weighted Extended PHT-Splines and was published in 2020. The most recent citation comes from a 2024 study titled An adaptive collocation method on implicit domains using weighted extended THB-splines. This article reached its peak citation in 2021, with 2 citations. It has been cited in 5 different journals. Among related journals, the Computer Aided Geometric Design cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year