Approximation schemes for viscosity solutions of Hamilton-Jacobi equations

Article Properties
Journal Category
Science
Mathematics
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Refrences
Title Journal Journal Categories Citations Publication Date
Existence of viscosity solutions of Hamilton-Jacobi equations Journal of Differential Equations
  • Science: Mathematics
 52 1985
Product formulas and max-min representations (with applications to differential games) for viscosity solutions of Hamilton-Jacobi equations 1985
Viscosity solutions of Hamilton-Jacobi equations Transactions of the American Mathematical Society
  • Science: Mathematics
 1984
Two approximations of solutions of Hamilton-Jacobi equations Mathematics of Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1984
Existence results for first order Hamilton-Jacobi equations Nonlinear Analysis 1984
Refrences Analysis
Category Category Repetition
Science: Mathematics4
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
The category Science: Mathematics 4 is the most frequently represented among the references in this article. It primarily includes studies from Transactions of the American Mathematical Society and Mathematics of Computation. 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
The Carleman convexification method for Hamilton-Jacobi equations Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 2024
The Cox-Ingersoll-Ross process under volatility uncertainty Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme Numerische Mathematik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2023
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI Applied Mathematics & Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Approximating the Value of Zero-Sum Differential Games with Linear Payoffs and Dynamics

 Journal of Optimization Theory and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics151
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods128
Technology: Engineering (General). Civil engineering (General)33
Technology: Mechanical engineering and machinery24
Science: Mathematics: Instruments and machines: Electronic computers. Computer science15
Science: Physics11
Technology: Manufactures: Production management. Operations management8
Science: Mathematics: Probabilities. Mathematical statistics4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software3
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics3
Social Sciences: Economic theory. Demography: Economics as a science3
Social Sciences: Commerce: Business3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Social Sciences: Statistics2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Social Sciences: Commerce: Business: Personnel management. Employment management1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Social Sciences: Sociology (General)1
Social Sciences1
Social Sciences: Finance1
Science: Mathematics: Instruments and machines1
The category Science: Mathematics 151 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Two approximations of solutions of Hamilton-Jacobi equations and was published in 1984. The most recent citation comes from a 2024 study titled The Carleman convexification method for Hamilton-Jacobi equations. This article reached its peak citation in 2000, with 12 citations. It has been cited in 73 different journals. Among related journals, the SIAM Journal on Control and Optimization cited this research the most, with 18 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year