Automatic differentiation of explicit Runge-Kutta methods for optimal control

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Walther, Andrea. “Automatic Differentiation of Explicit Runge-Kutta Methods for Optimal Control”. Computational Optimization and Applications, vol. 36, no. 1, 2006, pp. 83-108, https://doi.org/10.1007/s10589-006-0397-3.
Walther, A. (2006). Automatic differentiation of explicit Runge-Kutta methods for optimal control. Computational Optimization and Applications, 36(1), 83-108. https://doi.org/10.1007/s10589-006-0397-3
Walther, Andrea. “Automatic Differentiation of Explicit Runge-Kutta Methods for Optimal Control”. Computational Optimization and Applications 36, no. 1 (2006): 83-108. https://doi.org/10.1007/s10589-006-0397-3.
Walther A. Automatic differentiation of explicit Runge-Kutta methods for optimal control. Computational Optimization and Applications. 2006;36(1):83-108.
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Citations Analysis
Category Category Repetition
Science: Mathematics22
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods16
Technology: Engineering (General). Civil engineering (General)11
Technology: Mechanical engineering and machinery8
Science: Physics5
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Technology: Manufactures: Production management. Operations management3
Technology: Chemical technology: Chemical engineering3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics2
Science: Geology2
Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
Science: Chemistry1
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 machines1
Technology: Chemical technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials1
Medicine: Medicine (General): Medical technology1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Science: Biology (General)1
The category Science: Mathematics 22 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the discrete adjoints of adaptive time stepping algorithms and was published in 2009. The most recent citation comes from a 2023 study titled Direct approaches for PDE-constrained dynamic optimization based on space–time orthogonal collocation on finite elements. This article reached its peak citation in 2021, with 6 citations. It has been cited in 29 different journals, 10% of which are open access. Among related journals, the Journal of Computational and Applied Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year