Alternating Direction Methods for Hyperbolic Differential Equations

Article Properties
Refrences
Title Journal Journal Categories Citations Publication Date
A Study of the Numerical Solution of Partial Differential Equations Journal of Mathematics and Physics 172 1951
10.1090/S0002-9947-1956-0084194-4
von Newmann difference approximation to hyperbolic equations Pacific Journal of Mathematics
  • Science: Mathematics
 12 1960
10.1007/BF01939220
10.1007/BF01448839
Citations
Title Journal Journal Categories Citations Publication Date
High resolution numerical algorithm of order (2, 4, 4) for 2D quasi-linear hyperbolic equations based on half-step discretization on an unequal grid Partial Differential Equations in Applied Mathematics 2023
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain Applied Numerical Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 2022
A High Accuracy Local One-Dimensional Explicit Compact Scheme for the 2D Acoustic Wave Equation

 Advances in Mathematical Physics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
 1 2022
Citations Analysis
Category Category Repetition
Science: Mathematics47
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods36
Technology: Engineering (General). Civil engineering (General)23
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Science: Physics5
Technology: Mechanical engineering and machinery4
Science: Physics: Heat: Thermodynamics3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Science: Biology (General)1
Medicine: Medicine (General): Medical technology1
Science: Biology (General): Genetics1
Science: Chemistry1
Technology: Chemical technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials1
The category Science: Mathematics 47 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A general formulation of alternating direction methods and was published in 1964. The most recent citation comes from a 2023 study titled High resolution numerical algorithm of order (2, 4, 4) for 2D quasi-linear hyperbolic equations based on half-step discretization on an unequal grid. This article reached its peak citation in 2011, with 5 citations. It has been cited in 36 different journals, 5% 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