{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T23:06:02Z","timestamp":1725750362894},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642415142"},{"type":"electronic","value":"9783642415159"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-41515-9_36","type":"book-chapter","created":{"date-parts":[[2013,10,1]],"date-time":"2013-10-01T02:08:27Z","timestamp":1380593307000},"page":"327-336","source":"Crossref","is-referenced-by-count":1,"title":["Runge-Kutta Methods with Equation Dependent Coefficients"],"prefix":"10.1007","author":[{"given":"L. Gr.","family":"Ixaru","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"36_CR1","doi-asserted-by":"publisher","DOI":"10.1002\/9780470753767","volume-title":"Numerical Methods for Ordinary Differential Equations","author":"J.C. Butcher","year":"2008","unstructured":"Butcher, J.C.: Numerical Methods for Ordinary Differential Equations, 2nd edn. Wiley, Chichester (2008)","edition":"2"},{"key":"36_CR2","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.cpc.2010.10.009","volume":"182","author":"R. D\u2019Ambrosio","year":"2011","unstructured":"D\u2019Ambrosio, R., Ixaru, L.G., Paternoster, B.: Construction of the ef-based Runge-Kutta methods revisited. Comput. Phys. Commun.\u00a0182, 322\u2013329 (2011)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR3","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.cpc.2011.08.017","volume":"183","author":"L.G. Ixaru","year":"2012","unstructured":"Ixaru, L.G.: Runge-Kutta method with equation dependent coefficients. Comput. Phys. Commun.\u00a0183, 63\u201369 (2012)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR4","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1016\/j.cam.2008.01.026","volume":"223","author":"M. Calvo","year":"2009","unstructured":"Calvo, M., Franco, J.M., Montijano, J.I., et al.: Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type. J. Comput. Appl. Math.\u00a0223, 387\u2013398 (2009)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR5","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1016\/S0377-0427(02)00485-5","volume":"149","author":"J.M. Franco","year":"2002","unstructured":"Franco, J.M.: An embedded pair of exponentially fitted explicit Runge-Kutta methods. J. Comput. Appl. Math.\u00a0149, 407\u2013414 (2002)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cam.2003.09.042","volume":"167","author":"J.M. Franco","year":"2004","unstructured":"Franco, J.M.: Exponentially fitted explicit Runge-Kutta-Nystrom methods. J. Comput. Appl. Math.\u00a0167, 1\u201319 (2004)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR7","doi-asserted-by":"crossref","unstructured":"Ixaru, L.G., Vanden Berghe, G.: Exponential Fitting. Kluwer Academic Publishers (2004)","DOI":"10.1007\/978-1-4020-2100-8"},{"key":"36_CR8","doi-asserted-by":"publisher","first-page":"1802","DOI":"10.1016\/j.cpc.2009.05.006","volume":"180","author":"J. Martin-Vaquero","year":"2009","unstructured":"Martin-Vaquero, J., Janssen, B.: Second-order stabilized explicit Runge-Kutta methods for stiff problems. Comput. Phys. Commun.\u00a0180, 1802\u20131810 (2009)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR9","first-page":"107","volume":"18","author":"K. Ozawa","year":"2001","unstructured":"Ozawa, K., Japan, J.: Indust. Appl. Math.\u00a018, 107 (2001)","journal-title":"Appl. Math."},{"key":"36_CR10","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/S0168-9274(98)00056-7","volume":"28","author":"B. Paternoster","year":"1998","unstructured":"Paternoster, B.: Runge-Kutta(-Nystrom) methods for ODEs with periodic solutions based on trigonometric polynomials. Appl. Numer. Math.\u00a028, 401\u2013412 (1998)","journal-title":"Appl. Numer. Math."},{"key":"36_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0010-4655(98)00088-5","volume":"115","author":"T.. Simos","year":"1998","unstructured":"Simos, T.: An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions. Comput. Phys. Commun.\u00a0115, 1\u20138 (1998)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR12","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/S0010-4655(99)00365-3","volume":"123","author":"G. Vanden Berghe","year":"1999","unstructured":"Vanden Berghe, G., De Meyer, H., Van Daele, M., et al.: Exponentially-fitted explicit Runge-Kutta methods. Comput. Phys. Commun.\u00a0123, 7\u201315 (1999)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR13","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/S0377-0427(00)00462-3","volume":"125","author":"G. Vanden Berghe","year":"2000","unstructured":"Vanden Berghe, G., De Meyer, H., Van Daele, M., et al.: Exponentially fitted Runge-Kutta methods. J. Comput. Appl. Math.\u00a0125, 107\u2013115 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR14","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/S0377-0427(00)00602-6","volume":"132","author":"G. Vanden Berghe","year":"2001","unstructured":"Vanden Berghe, G., Ixaru, L.G., De Meyer, H.: Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. J. Comput. Appl. Math.\u00a0132, 95\u2013105 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR15","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1016\/S0010-4655(02)00676-8","volume":"150","author":"L.G. Ixaru","year":"2003","unstructured":"Ixaru, L.G., Vanden Berghe, G., De Meyer, H.: Exponentially fitted variable two-step BDF algorithm for first order ODEs. Comput. Phys. Commun.\u00a0150, 116\u2013128 (2003)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR16","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/S0377-0427(03)00450-3","volume":"159","author":"G. Vanden Berghe","year":"2003","unstructured":"Vanden Berghe, G., Van Daele, M., Vyver, H.V.: Exponential fitted Runge-Kutta methods of collocation type: fixed or variable knot points? J. Comput. Appl. Math.\u00a0159, 217\u2013239 (2003)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR17","doi-asserted-by":"publisher","first-page":"442","DOI":"10.1016\/j.cam.2005.01.020","volume":"184","author":"H. Vyver Van De","year":"2005","unstructured":"Van De Vyver, H.: Frequency evaluation for exponentially fitted Runge-Kutta methods. J. Comput. Appl. Math.\u00a0184, 442\u2013463 (2005)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR18","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/j.cam.2005.04.028","volume":"188","author":"H. Vyver Van de","year":"2006","unstructured":"Van de Vyver, H.: On the generation of P-stable exponentially fitted Runge-Kutta-Nystrom methods by exponentially fitted Runge-Kutta methods. J. Comput. Appl. Math.\u00a0188, 309\u2013318 (2006)","journal-title":"J. Comput. Appl. Math."},{"key":"36_CR19","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/j.cpc.2007.07.007","volume":"178","author":"J. Vigo-Aguiar","year":"2008","unstructured":"Vigo-Aguiar, J., Martin-Vaquero, J., Ramos, H.: Exponential fitting BDF-Runge-Kutta algorithms. Comput. Phys. Commun.\u00a0178, 15\u201334 (2008)","journal-title":"Comput. Phys. Commun."},{"key":"36_CR20","doi-asserted-by":"publisher","first-page":"798","DOI":"10.1093\/imanum\/drl040","volume":"27","author":"V.-A. Jesus","year":"2007","unstructured":"Jesus, V.-A., Higinio, R.: A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems. IMA J. Numerical Analysis\u00a027, 798\u2013817 (2007)","journal-title":"IMA J. Numerical Analysis"},{"key":"36_CR21","volume-title":"Numerical methods for ordinary differential systems: The initial value problem","author":"J.D. Lambert","year":"1991","unstructured":"Lambert, J.D.: Numerical methods for ordinary differential systems: The initial value problem. Wiley, Chichester (1991)"},{"key":"36_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0010-4655(97)00067-2","volume":"105","author":"L.G. Ixaru","year":"1997","unstructured":"Ixaru, L.G.: Operations on oscillatory functions. Comput. Phys. Commun.\u00a0105, 1\u201319 (1997)","journal-title":"Comput. Phys. Commun."}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-41515-9_36","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T13:44:47Z","timestamp":1558100687000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-41515-9_36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642415142","9783642415159"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-41515-9_36","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}