{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T06:45:44Z","timestamp":1648881944291},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[1995,1,1]],"date-time":"1995-01-01T00:00:00Z","timestamp":788918400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1995,1]]},"DOI":"10.1007\/bf02431994","type":"journal-article","created":{"date-parts":[[2006,7,7]],"date-time":"2006-07-07T17:03:13Z","timestamp":1152291793000},"page":"23-40","source":"Crossref","is-referenced-by-count":3,"title":["Perturbed collocation and symplectic RKN methods"],"prefix":"10.1007","volume":"3","author":[{"given":"G.","family":"Ramaswami","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02431994_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1693-1","volume-title":"Mathematical Methods of Classical Mechanics","author":"V.I. Arnold","year":"1978","unstructured":"V.I. Arnold,Mathematical Methods of Classical Mechanics (Springer, New York, 1978)."},{"key":"BF02431994_CR2","unstructured":"J.C. Butcher,The Numerical Analysis of Ordinary Differential Equations (Wiley, 1987)."},{"key":"BF02431994_CR3","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1145\/42288.42341","volume":"14","author":"J.C. Butcher","year":"1988","unstructured":"J.C. Butcher, Towards efficient implementation of singly implicit methods, ACM Trans. Math. Software 14 (1988) 68\u201375.","journal-title":"ACM Trans. Math. Software"},{"key":"BF02431994_CR4","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1088\/0951-7715\/3\/2\/001","volume":"3","author":"P.J. Channel","year":"1990","unstructured":"P.J. Channel and C. Scovel, Symplectic integration of Hamiltonian systems, Nonlinearity 3 (1990) 231\u2013239.","journal-title":"Nonlinearity"},{"key":"BF02431994_CR5","volume-title":"Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations","author":"K. Dekker","year":"1984","unstructured":"K. Dekker and J.G. Verwer,Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations (North-Holland, Amsterdam, 1984)."},{"key":"BF02431994_CR6","volume-title":"Foundations of Modern Analysis","author":"J. Dieudonn\u00e9","year":"1960","unstructured":"J. Dieudonn\u00e9,Foundations of Modern Analysis (Academic Press, New York and London, 1960)."},{"key":"BF02431994_CR7","first-page":"42","volume-title":"Proc. 1984 Beijing Symp. on Differential Geometry and Differential Equations","author":"Feng Kang","year":"1985","unstructured":"Feng Kang, On difference schemes and symplectic geometry, in:Proc. 1984 Beijing Symp. on Differential Geometry and Differential Equations, ed. Feng Kang (Science Press, Beijing, 1985) pp. 42\u201358."},{"key":"BF02431994_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1140-2","volume-title":"Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields","author":"J. Guckenheimer","year":"1983","unstructured":"J. Guckenheimer and P. Holmes,Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields (Springer, New York, 1983)."},{"key":"BF02431994_CR9","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/BF01396335","volume":"25","author":"E. Hairer","year":"1976","unstructured":"E. Hairer and G. Wanner, A theory for Nystr\u00f6m methods, Numer. Math. 25 (1976) 383\u2013400.","journal-title":"Numer. Math."},{"key":"BF02431994_CR10","first-page":"3","volume":"32","author":"A. Iserles","year":"1991","unstructured":"A. Iserles, Efficient R-K methods for Hamiltonian systems, Bull. Greek Math. Soc. 32 (1991) 3\u201320.","journal-title":"Bull. Greek Math. Soc."},{"key":"BF02431994_CR11","first-page":"952","volume":"39","author":"F. Lasagni","year":"1988","unstructured":"F. Lasagni, Canomical R-K methods, ZAMP 39 (1988) 952\u2013953.","journal-title":"ZAMP"},{"key":"BF02431994_CR12","series-title":"Lecture Notes in Mathematics","volume-title":"Numerical Analysis","author":"S.P. N\u00f8rsett","year":"1980","unstructured":"S.P. N\u00f8rsett, Collocation and perturbed collocation methods, in:Numerical Analysis, ed. G.A. Watson, Lecture Notes in Mathematics 773 (Springer, Berlin, 1980)."},{"key":"BF02431994_CR13","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01397089","volume":"38","author":"S.P. N\u00f8rsett","year":"1981","unstructured":"S.P. N\u00f8rsett and G. Wanner, Perturbed collocation, Numer. Math. 38 (1981) 193\u2013208.","journal-title":"Numer. Math."},{"key":"BF02431994_CR14","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1137\/0729032","volume":"29","author":"D. Okunbor","year":"1992","unstructured":"D. Okunbor and R.D. Skeel, An explicit Runge-Kutta-Nystr\u00f6m method is canonical if and only if its adjoint is explicit, SIAM J. Numer. Anal. 29 (1992) 521\u2013527.","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02431994_CR15","doi-asserted-by":"crossref","first-page":"2669","DOI":"10.1109\/TNS.1983.4332919","volume":"30","author":"R.D. Ruth","year":"1983","unstructured":"R.D. Ruth, A canonical integration technique, IEEE Trans. Nucl. Sci. NS-30 (1983) 2669\u20132671.","journal-title":"IEEE Trans. Nucl. Sci. NS"},{"key":"BF02431994_CR16","unstructured":"J.M. Sanz-Serna, Symplectic integrators for Hamiltonian problems: An overview, Acta Numerica (1991) 243\u2013286."},{"key":"BF02431994_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3093-4","volume-title":"Numerical Hamiltonian Problems","author":"J.M. Sanz-Serna","year":"1994","unstructured":"J.M. Sanz-Serna and M.P. Calvo,Numerical Hamiltonian Problems (Chapman and Hall, London, 1994)."},{"key":"BF02431994_CR18","first-page":"202","volume":"29","author":"Y.B. Suris","year":"1989","unstructured":"Y.B. Suris, The canonicity of mappings generated by R-K type methods when integrating the systemsx\u2033=\u2212\u03d6U\/\u03d6x, Zh. Vichisl. Mat i Mat. Fiz. 29 (1989) 202\u2013211 (in Russian) [Transl.: USSR Comp. Maths. Math. Phys. 29 (1989) 149\u2013156].","journal-title":"Zh. Vichisl. Mat i Mat. Fiz."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02431994.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02431994\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02431994","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T18:21:26Z","timestamp":1558117286000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02431994"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":18,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["BF02431994"],"URL":"https:\/\/doi.org\/10.1007\/bf02431994","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}