[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/3584#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/3584","headline":"\u30c9\u30eb\u30de\u30f3\uff1d\u30d7\u30ea\u30f3\u30b9\u6cd5 – Wikipedia","name":"\u30c9\u30eb\u30de\u30f3\uff1d\u30d7\u30ea\u30f3\u30b9\u6cd5 – Wikipedia","description":"\u30c9\u30eb\u30de\u30f3\uff1d\u30d7\u30ea\u30f3\u30b9\u6cd5 (Dormand-Prince method) \u306fMATLAB\/GNU Octave\u306b\u304a\u3044\u3066ode45\u3068\u3057\u3066\u642d\u8f09\u3055\u308c\u3066\u3044\u308b\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u3067\u3042\u308a\u3001\u30eb\u30f3\u30b2\uff1d\u30af\u30c3\u30bf\u6cd5\u306e\u4e00\u3064\u3067\u3042\u308b[1][2][3][4]\u3002 ^ Dormand, J. R.; Prince, P. J. (1980), “A family of embedded Runge-Kutta formulae”, en:Journal","datePublished":"2019-10-01","dateModified":"2019-10-01","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/ja.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","url":"https:\/\/ja.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","height":"1","width":"1"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/3584","about":["Wiki"],"wordCount":663,"articleBody":"\u30c9\u30eb\u30de\u30f3\uff1d\u30d7\u30ea\u30f3\u30b9\u6cd5 (Dormand-Prince method) \u306fMATLAB\/GNU Octave\u306b\u304a\u3044\u3066ode45\u3068\u3057\u3066\u642d\u8f09\u3055\u308c\u3066\u3044\u308b\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u3067\u3042\u308a\u3001\u30eb\u30f3\u30b2\uff1d\u30af\u30c3\u30bf\u6cd5\u306e\u4e00\u3064\u3067\u3042\u308b[1][2][3][4]\u3002^ Dormand, J. R.; Prince, P. J. (1980), “A family of embedded Runge-Kutta formulae”, en:Journal of Computational and Applied Mathematics, 6 (1): 19\u201326.^ Dormand, John R. (1996), Numerical Methods for Differential Equations: A Computational Approach, Boca Raton: en:CRC Press.^ Deuflhard, P., & Bornemann, F. (2012). Scientific computing with ordinary differential equations. en:Springer Science & Business Media.^ Shampine, Lawrence F. (1986), “Some Practical Runge-Kutta Formulas”, en:Mathematics of Computation, 46 (173): 135\u2013150.\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u95a2\u9023\u6587\u732e[\u7de8\u96c6]Engstler, C., & Lubich, C. (1997). MUR8: a multirate extension of the eighth-order Dormand-Prince method. Applied numerical mathematics, 25(2-3), 185-192.Calvo, M., Montijano, J. I., & Randez, L. (1990). A fifth-order interpolant for the Dormand and Prince Runge-Kutta method. Journal of Computational and Applied Mathematics, 29(1), 91-100.Aristoff, J. M., Horwood, J. T., & Poore, A. B. (2014). Orbit and uncertainty propagation: a comparison of Gauss\u2013Legendre-, Dormand\u2013Prince-, and Chebyshev\u2013Picard-based approaches. Celestial Mechanics and Dynamical Astronomy, 118(1), 13-28.Seen, W. M., Gobithaasan, R. U., & Miura, K. T. (2014, July). GPU acceleration of Runge Kutta-Fehlberg and its comparison with Dormand-Prince method. In AIP Conference Proceedings (Vol. 1605, No. 1, pp. 16-21). AIP.Jim\u00e9nez, J. C., Sotolongo, A., & Sanchez-Bornot, J. M. (2014). Locally linearized Runge Kutta method of Dormand and Prince. Applied Mathematics and Computation, 247, 589-606.Olemskoi, I. V. (2005). A fifth-order five-stage embedded method of the Dormand\u2013Prince type. Zhurnal Vychislitel’noi Matematikii Matematicheskoi Fiziki, 45(7), 1181-1191.Novikov, A. E. E., & Novikov, E. A. (2007). An algorithm of variable order and step based on stages of the Dormand-Prince method of the eighth order of accuracy. Vychislitel’nye metodyi programmirovanie, 8(4), 317-325.  "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki7\/archives\/3584#breadcrumbitem","name":"\u30c9\u30eb\u30de\u30f3\uff1d\u30d7\u30ea\u30f3\u30b9\u6cd5 – Wikipedia"}}]}]