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Items where Subject is "Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations"

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Number of items at this level: 77.

2023

Clarkson, Peter, Law, Chun-Kong, Lin, Chia-Hua (2023) A Constructive Proof for the Umemura Polynomials of the for the third Painlevé equation. Symmetry, Integrability and Geometry: Methods and Applications, 19 . Article Number 080. ISSN 1815-0659. (doi:10.3842/SIGMA.2023.080) (KAR id:103469)
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Hone, Andrew N.W. and Roberts, John A.G. and Vanhaecke, Pol (2023) A family of integrable maps associated with the Volterra lattice. [Preprint] (Submitted) (doi:10.48550/arXiv.2309.02336) (KAR id:103631)
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Hone, Andrew N.W., Roberts, John A.G., Vanhaecke, Pol, Zullo, Federico (2023) Integrable maps in 4D and modified Volterra lattices. Open Communications in Nonlinear Mathematical Physics, . E-ISSN 2802-9356. (Submitted) (KAR id:103632)
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2021

Deaño, Alfredo, Eijsvoogel, Bruno, Román, Pablo (2021) Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146 (2). pp. 463-497. ISSN 0022-2526. (doi:10.1111/sapm.12351) (KAR id:80236)
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2020

Deaño, Alfredo, SImm, Nicholas J (2020) Characteristic polynomials of complex random matrices and Painlevé transcendents. International Mathematics Research Notices, . Article Number rnaa111. ISSN 1073-7928. (doi:10.1093/imrn/rnaa111) (KAR id:80235)
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Hone, A.N.W. and Quispel, G.R.W. (2020) Analogues of Kahan's method for higher order equations of higher degree. In: Shi, Y., ed. Asymptotic, Algebraic and Geometric Aspects of Integrable Systems In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018. Springer Proceedings in Mathematics & Statistics . Springer, Cham, Switzerland, pp. 175-189. ISBN 978-3-030-56999-0. E-ISBN 978-3-030-57000-2. (doi:10.1007/978-3-030-57000-2_9) (KAR id:81279)
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2019

Starostka, Maciej, Waterstraat, Nils (2019) The E-cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n. Advanced Nonlinear Studies, 19 (3). pp. 519-528. ISSN 1536-1365. (doi:10.1515/ans-2019-2044) (KAR id:63985)
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2018

Izydorek, Marek, Janczewska, Joanna, Waterstraat, Nils, Zgorzelska, Anita (2018) Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation. Nonlinear Analysis. Real World Applications, 39 . pp. 451-463. ISSN 1468-1218. (doi:10.1016/j.nonrwa.2017.07.008) (KAR id:60224)
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2017

Bearup, Daniel, Blasius, Bernd (2017) Ecotone formation induced by the effects of tidal flooding: A conceptual model of the mud flat-coastal wetland ecosystem. Ecological Complexity, 32 (B). pp. 217-227. ISSN 1476-945X. (doi:10.1016/j.ecocom.2016.11.005) (KAR id:64315)
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Brown, Brian Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian (2017) Inverse problems for boundary triples with applications. Studia Mathematica, 237 . pp. 241-275. ISSN 0039-3223. E-ISSN 1730-6337. (doi:10.4064/sm8613-11-2016) (KAR id:60783)
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Candela, Anna Maria, Waterstraat, Nils (2017) Bifurcation of critical points along gap-continuous families of subspaces. Journal of Fixed Point Theory and Applications, 19 (4). pp. 3053-3068. ISSN 1661-7738. E-ISSN 1661-7746. (doi:10.1007/s11784-017-0468-3) (KAR id:51402)
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Ciesielski, Jakub, Janczewska, Joanna, Waterstraat, Nils (2017) On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems. Differential Integral Equations, 30 (3/4). pp. 259-272. ISSN 0893-4983. (KAR id:65033)
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Ciesielski, Jakub, Janczewska, Joanna, Waterstraat, Nils (2017) On the existence of homoclinic type solutions of inhomogenous Lagrangian systems. Differential and Integral Equations, 30 (3-4). pp. 259-272. ISSN 0893-4983. (KAR id:55882)
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Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2017) Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30 (2). pp. 622-658. ISSN 0951-7715. E-ISSN 1361-6544. (doi:10.1088/1361-6544/aa5490) (KAR id:54154)
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Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. [Preprint] (doi:10.48550/arXiv.1701.03238) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:59909)

Skiba, Robert, Waterstraat, Nils (2017) The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems. Discrete and Continuous Dynamical Systems. Series A, 37 (11). pp. 5603-5629. ISSN 1078-0947. E-ISSN 1553-5231. (doi:10.3934/dcds.2017243) (KAR id:59892)
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2016

Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:10.1111/sapm.12123) (KAR id:51255)
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Clarkson, Peter, Loureir0, Ana F., Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, 22 (5). pp. 656-675. ISSN 1023-6198. E-ISSN 1563-5120. (doi:10.1080/10236198.2015.1127917) (KAR id:51098)
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Fischbacher, Christoph, Naboko, Serguei, Wood, Ian (2016) The Proper Dissipative Extensions of a Dual Pair. Integral Equations and Operator Theory, 85 (4). pp. 573-599. ISSN 0378-620X. (doi:10.1007/s00020-016-2310-5) (KAR id:57819)
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Francois, Boulier, Francois, Lemaire, Joseph, Lallemand, Georg, Regensburger, Markus, Rosenkranz (2016) Additive Normal Forms and Integration of Differential Fractions. Journal of Symbolic Computation, . ISSN 0747-7171. E-ISSN 1095-855X. (doi:10.1016/j.jsc.2016.01.002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:54451)

Portaluri, Alessandro, Waterstraat, Nils (2016) A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems. Journal of Fixed Point Theory and Applications, 19 (1). pp. 833-851. ISSN 1661-7738. E-ISSN 1661-7746. (doi:10.1007/s11784-016-0378-9) (KAR id:55881)
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Waterstraat, Nils (2016) A Remark on Bifurcation of Fredholm Maps. Advances in Nonlinear Analysis, 7 (3). pp. 285-292. ISSN 2191-9496. E-ISSN 2191-950X. (doi:10.1515/anona-2016-0067) (KAR id:55879)
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2015

Clarkson, Peter, Jordaan, Kerstin, Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12105) (KAR id:51095)
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Condon, Marissa, Deaño, Alfredo, Gao, Jing, Iserles, Arieh (2015) Asymptotic solvers for ordinary differential equations with multiple frequencies. Science China Mathematics, 58 (11). pp. 2279-2300. ISSN 1674-7283. (doi:10.1007/s11425-015-5066-5) (KAR id:51342)
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Guo, Li, Zheng, Shanghua, Rosenkranz, Markus (2015) Rota-Baxter operators on the polynomial algebras, integration and averaging operators. Pacific Journal of Mathematics, 275 (2). pp. 481-507. ISSN 0030-8730. (doi:10.2140/pjm.2015.275.481) (KAR id:45956)
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Hone, Andrew N.W., Towler, Kim (2015) Non-standard discretization of biological models. Natural Computing, 14 . pp. 39-48. ISSN 1567-7818. (KAR id:41482)
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Rosenkranz, Markus, Liu, Jane, Maletzky, Alexander, Buchberger, Bruno (2015) Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates. In: Gerdt, Vladimir P. and Koepf, Wolfram and Seiler, Werner and Vorozhtsov, Evgenii V., eds. Proceedings of the 17th International Workshop, CASC 2015. Computer Algebra in Scientific Computing. Lecture Notes in Computer Science , 9301. pp. 406-423. Springer, Berlin ISBN 978-3-319-24020-6. E-ISBN 978-3-319-24021-3. (doi:10.1007/978-3-319-24021-3_30) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:49025)

Rosenkranz, Markus and Serwa, Nitin (2015) Green's Functions for Stieltjes Boundary Problems. In: Robertz, Daniel, ed. Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation. ISSAC International Symposium on Symbolic and Algebraic Computation . ACM, New York, USA, pp. 315-321. ISBN 978-1-4503-3435-8. (doi:10.1145/2755996.2756681) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:49024)

Waterstraat, Nils (2015) Spectral flow, crossing forms and homoclinics of Hamiltonian systems. Proceedings of the London Mathematical Society, 3 (111). pp. 275-304. ISSN 0024-6115. (doi:10.1112/plms/pdv028) (KAR id:51393)
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2014

Gao, Xing, Guo, Li, Rosenkranz, Markus (2014) Free integro-differential algebras and Groebner-Shirshov bases. Journal of Algebra, 442 . pp. 354-396. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2014.10.016) (KAR id:43407)
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Guo, Li, Regensburger, Georg, Rosenkranz, Markus (2014) On Integro-Differential Algebras. Journal of Pure and Applied Algebra, 218 (3). pp. 456-473. ISSN 0022-4049. (doi:10.1016/j.jpaa.2013.06.015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:34347)

2013

Albrecher, Hansjoerg, Constantinescu, Corina, Palmowski, Zbigniew, Regensburger, Georg, Rosenkranz, Markus (2013) Exact and asymptotic results for insurance risk models with surplus-dependent premiums. SIAM Journal on Applied Mathematics, 73 (1). pp. 47-66. ISSN 0036-1399. (doi:10.1137/110852000) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:30376)

Boulier, Francois and Lemaire, Francois and Regensburger, Georg and Rosenkranz, Markus (2013) On the Integration of Differential Fractions. In: Kauers, M., ed. Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. ACM, New York, pp. 101-108. ISBN 978-1-4503-2059-7. (doi:10.1145/2465506.2465934) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:33746)

Clarkson, Peter (2013) Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations. Journal of Physics A: Mathematical and Theoretical, 46 (18). ISSN 1751-8113. (doi:10.1088/1751-8113/46/18/185205) (KAR id:33120)
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Clarkson, Peter, Jordaan, Kerstin (2013) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:10.1007/s00365-013-9220-4) (KAR id:51256)
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Goncalves, T.M.N., Mansfield, Elizabeth L. (2013) Moving Frames and Conservation Laws for Euclidean Invariant Lagrangians. Studies in Applied Mathematics, 130 (2). pp. 134-166. ISSN 1467-9590. (doi:10.1111/j.1467-9590.2012.00566.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31674)

Hone, Andrew N.W., Ragnisco, Orlando, Zullo, Federico (2013) Properties of the series solution for Painlevé I. Journal of Nonlinear Mathematical Physics, 20 (Supp.1). pp. 85-100. ISSN 1402-9251. (doi:10.1080/14029251.2013.862436) (KAR id:41485)
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Rosenkranz, Markus, Korporal, Anja (2013) A Noncommutative Algebraic Operational Calculus for Boundary Problems. Mathematics in Computer Science, 7 (2). pp. 201-227. ISSN 1661-8270. (doi:10.1007/s11786-013-0154-9) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:33900)

2012

Buchberger, Bruno, Rosenkranz, Markus (2012) Transforming boundary problems from analysis to algebra: A case study in boundary problems. Journal of Symbolic Computation, 47 (6). pp. 589-609. ISSN 0747-7171. (doi:10.1016/j.jsc.2011.12.022) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29247)

Condon, Marissa, Deaño, Alfredo, Iserles, Arieh, Kropielnicka, Karolina (2012) Efficient computation of delay differential equations with highly oscillatory terms. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 46 (6). pp. 1407-1420. ISSN 0764-583X. (doi:10.1051/m2an/2012004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70216)

Dorey, Patrick, Dunning, Clare, Tateo, Roberto (2012) Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations. Journal of Physics A: Mathematical and Theoretical, 45 (44). pp. 1-11. ISSN 1751-8113. (doi:10.1088/1751-8113/45/44/444013) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31250)

Rosenkranz, Markus and Regensburger, Georg and Tec, Loredana and Buchberger, Bruno (2012) Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases. In: Langer, Ulrich and Paule, Peter, eds. Numerical and Symbolic Scientific Computing: Progress and Prospects. Texts and Monographs in Symbolic Computation . Springer, Wien, pp. 273-331. ISBN 0943853X. (doi:10.1007/978-3-7091-0794-2_5) (KAR id:26236)
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2011

Korporal, Anja and Regensburger, Georg and Rosenkranz, Markus (2011) Regular and singular boundary problems in Maple. In: Gerdt, V.P. and Koepf, W. and Mayr, E.W. and Vorozhtsov, E.V., eds. Proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing (CASC'11). Lecture Notes in Computer Science, 6885 . Springer, Berlin, pp. 280-293. ISBN 978-3-642-23567-2. (doi:10.1007/978-3-642-23568-9_22) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29248)

Mansfield, Elizabeth L., Goncalves, T.M.N. (2011) On Moving Frames and Noether’s Conservation Laws. Studies in Applied Mathematics, 128 (1). pp. 1-29. ISSN 1467-9590. (doi:10.1111/j.1467-9590.2011.00522.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:27753)

2010

Albrecher, Hansjoerg, Constantinescu, Corina, Pirsic, Gottlieb, Regensburger, Georg, Rosenkranz, Markus (2010) An algebraic operator approach to the analysis of Gerber-Shiu functions. Insurance: Mathematics and Economics, 46 (1). pp. 42-51. ISSN 0167-6687. (doi:10.1016/j.insmatheco.2009.02.002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29601)

Condon, Marissa, Deaño, Alfredo, Iserles, Arieh (2010) On second order differential equations with highly oscillatory forcing terms. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466 . pp. 1809-1828. ISSN 1364-5021. (doi:10.1098/rspa.2009.0481) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70220)

Condon, Marissa, Deaño, Alfredo, Iserles, Arieh (2010) On systems of differential equations with extrinsic oscillation. Discrete and Continuous Dynamical Systems - A, 28 (4). pp. 1345-1367. ISSN 1078-0947. (doi:10.3934/dcds.2010.28.1345) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70218)

Goatham, S.W., Krusch, Steffen (2010) Fermions, Skyrmions and the 3-sphere. Journal of Physics A: Mathematical and Theoretical, 43 (3). 035402-035419. ISSN 1751-8113. (doi:10.1088/1751-8113/43/3/035402) (KAR id:23536)
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Korporal, Anja, Regensburger, Georg, Rosenkranz, Markus (2010) A MAPLE package for integro-differential operators and boundary problems. ACM Communications in Computer Algebra, 44 (3). pp. 120-122. ISSN 1932-2240. (doi:10.1145/1940475.1940495) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29312)

Tec, Loredana and Regensburger, Georg and Rosenkranz, Markus and Buchberger, Bruno (2010) An automated confluence proof for an infinite rewrite system parametrized over an integro-differential algebra. In: Fukuda, Komei and van der Hoeven, Joris and Joswig, Michael and Takayama, Nobuki, eds. Proceedings of the Third international congress conference on Mathematical software. Lecture Notes in Computer Science, 6327 . Springer, Berlin, pp. 245-248. ISBN 978-3-642-15581-9. (doi:10.1007/978-3-642-15582-6_41) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29966)

2009

Clarkson, Peter (2009) Vortices and Polynomials. Studies in Applied Mathematics, 123 (1). pp. 37-62. ISSN 0022-2526. (doi:10.1111/j.1467-9590.2009.00446.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:20510)

Hone, Andrew N.W., Irle, Michael V. (2009) On the non-integrability of the Popowicz peakon system. Dynamical Systems and Differential Equations, 2009 (2009). pp. 359-366. ISSN 1078-0947. (doi:10.3934/proc.2009.2009.359) (KAR id:41490)
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Hone, Andrew N.W., Lundmark, H., Szmigielski, J. (2009) Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa--Holm type equation. Dynamics of Partial Differential Equations, 6 (3). pp. 253-289. ISSN 1548-159X. (doi:10.4310/dpde.2009.v6.n3.a3) (KAR id:24242)
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Regensburger, Georg, Rosenkranz, Markus (2009) An algebraic foundation for factoring linear boundary problems. Annali di Matematica Pura ed Applicata, 188 (1). pp. 123-151. ISSN 0373-3114. (doi:10.1007/s10231-008-0068-3) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29969)

Regensburger, Georg and Rosenkranz, Markus and Middeke, Johannes (2009) A skew polynomial approach to integro-differential operators. In: Johnson, Jeremy R. and Park, Hyungju and Kaltofen, Erich, eds. Proceedings of the 2009 international symposium on Symbolic and algebraic computation. ACM, pp. 287-294. ISBN 978-1-60558-609-0. (doi:10.1145/1576702.1576742) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29968)

Rosenkranz, Markus and Regensburger, Georg and Tec, Loredana and Buchberger, Bruno (2009) A symbolic framework for operations on linear boundary problems. In: Gerdt, V.P. and Mayr, E.W. and Vorozhtsov, E.V., eds. Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing. Lecture Notes in Computer Science, 5743 . Springer, pp. 269-283. ISBN 978-3-642-04102-0. (doi:10.1007/978-3-642-04103-7_24) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29967)

2008

Buchberger, Bruno, Regensburger, Georg, Rosenkranz, Markus, Tec, Loredana (2008) General polynomial reduction with Theorema functors: Applications to integro-differential operators and polynomials. ACM Communications in Computer Algebra, 42 (3). pp. 135-137. ISSN 1932-2240. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29970)

Clarkson, Peter (2008) Asymptotics of the second Painleve equation. In: Dominici, Diego and Maier, Robert, eds. Special Functions and Orthogonal Polynomials: AMS Special Session on Special Functions and Orthogonal Polynomials. Contemporary Mathematics . American Mathematical Society, Providence, Rhode Island, USA, pp. 69-83. ISBN 978-0-8218-4650-6. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13299)

Clarkson, Peter (2008) The fourth Painleve equation. . (KAR id:23090)
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Common, Alan K., Hone, Andrew N.W. (2008) Rational solutions of the discrete time Toda lattice and the alternate discrete Painleve II equation. Journal of Physics A: Mathematical and Theoretical, 41 (48). p. 485203. ISSN 1751-8113. (doi:10.1088/1751-8113/41/48/485203) (KAR id:41488)
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Rosenkranz, Markus and Regensburger, Georg (2008) Integro-differential polynomials and operators. In: Jeffrey, D., ed. Proceedings of the twenty-first international symposium on Symbolic and algebraic computation. ACM, pp. 261-268. ISBN 978-1-59593-904-3. (doi:10.1145/1390768.1390805) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29972)

Rosenkranz, Markus, Regensburger, Georg (2008) Solving and factoring boundary problems for linear ordinary differential equations in differential algebras. Journal of Symbolic Computation, 43 (8). pp. 515-544. ISSN 0747-7171. (doi:10.1016/j.jsc.2007.11.007) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29971)

Shemyakova, Ekaterina and Mansfield, Elizabeth L. (2008) Moving Frames for Laplace Invariants. In: Jeffrey, D., ed. ISSAC '08 Proceedings of the twenty-first international symposium on Symbolic and algebraic computation. ISSAC International Symposium on Symbolic and Algebraic Computation . ACM, New York, USA, pp. 291-298. ISBN 978-1-60560-494-7. (doi:10.1145/1390768.1390809) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23874)

2007

Deaño, Alfredo, Segura, Javier (2007) Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric equation. Journal of Approximation Theory, 148 (1). pp. 92-110. ISSN 0021-9045. (doi:10.1016/j.jat.2007.02.005) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70231)

2005

Braden, H.W., Enolskii, V.Z., Hone, Andrew N.W. (2005) Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Journal of Nonlinear Mathematical Physics, 12 (Sup.2). pp. 46-62. ISSN 1402-9251. (doi:10.2991/jnmp.2005.12.s2.5) (KAR id:41493)
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Holm, Darryl D., Hone, Andrew N.W. (2005) A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith). Journal of Nonlinear Mathematical Physics, 12 (Sup.1). pp. 380-394. ISSN 1402-9251. (doi:10.2991/jnmp.2005.12.s1.31) (KAR id:41497)
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Rosenkranz, Markus (2005) New symbolic computation methods for the exact solution of two-point boundary value problems. In: Hassi, S. and Keranen, V. and Kallman, C.-G. and Laaksonen, M. and Linna, M., eds. Proceedings of the algorithmic information theory conference. Selvityksia ja Raportteja, 124 . Vaasan Yliopiston Julkaisuja, pp. 157-176. ISBN 952-476-124-6. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29976)

Rosenkranz, Markus (2005) A new symbolic method for solving linear two-point boundary value problems on the level of operators. Journal of Symbolic Computation, 39 (2). pp. 171-199. ISSN 0747-7171. (doi:10.1016/j.jsc.2004.09.004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29975)

2003

Holm, Darryl D., Hone, Andrew N.W. (2003) Non-integrability of a fifth order equation with integrable two-body dynamics. Theoretical and Mathematical Physics, 137 (1). pp. 1459-1471. ISSN 0040-5779. (doi:10.1023/A:1026060924520) (KAR id:41496)
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Rosenkranz, Markus (2003) Symbolic solution of simple BVPs on the operator level. Communications in Computer Algebra, 37 (3). pp. 84-87. ISSN 1932-2240. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29979)

Rosenkranz, Markus, Buchberger, Bruno, Engl, Heinz W. (2003) Solving linear boundary value problems via non-commutative Groebner bases. Applicable Analysis, 82 (7). pp. 655-675. ISSN 0003-6811. (doi:10.1080/0003681031000118981) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29978)

2002

Hone, Andrew N.W. (2002) Lattice equations and tau-functions for a coupled Painlevé system. Nonlinearity, 15 (3). pp. 735-745. ISSN 0951-7715. (doi:10.1088/0951-7715/15/3/313) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:41498)

2001

Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (2001) Backlund transformations for the sl(2) Gaudin magnet. Journal of Physics A: Mathematical and General, 34 (11). pp. 2477-2490. ISSN 0305-4470. (KAR id:41495)
Format: PDF

Mansfield, Elizabeth L. and Hydon, Peter E. (2001) Towards approximations which preserve integrals. In: Mourrain, B., ed. Proceedings of the 2001 international symposium on Symbolic and algebraic computation. ACM, New York, USA, pp. 217-222. ISBN 1-58113-417-7. (doi:10.1145/384101.384131) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23872)

2000

Nijhoff, Frank W., Hone, Andrew N.W., Joshi, Nalini (2000) On a Schwarzian PDE associated with the KdV Hierarchy. Physics Letters A, 267 (2-3). pp. 147-156. ISSN 0375-9601. (doi:10.1016/S0375-9601(00)00063-3) (KAR id:41499)
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Nijhoff, Frank W., Joshi, Nalini, Hone, Andrew N.W. (2000) On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation. Physics Letters A, 264 (5). pp. 396-406. ISSN 0375-9601. (doi:10.1016/S0375-9601(99)00764-1) (KAR id:41500)
Format: PDF

1999

Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (1999) Backlund transformations for many-body systems related to KdV. Journal of Physics A: Mathematical and General, 32 (27). L299-L306. ISSN 0305-4470. (doi:10.1088/0305-4470/32/27/102) (KAR id:41494)
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This list was generated on Wed Mar 27 21:53:50 2024 GMT.