Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application. (English) Zbl 1526.37069 Sci. China, Math. 66, No. 7, 1473-1494 (2023). MSC: 37J30 32H04 34C14 34M03 34M15 34M45 12H05 12H20 PDFBibTeX XMLCite \textit{K. Huang} et al., Sci. China, Math. 66, No. 7, 1473--1494 (2023; Zbl 1526.37069) Full Text: DOI arXiv
Acevedo, Yeisson; García, Danilo Hernández; Loaiza, Gabriel; Londoño, Oscar Lie Algebra Classification, Conservation Laws and Invariant Solutions for a Variant of the Levinson-Smith Equation. arXiv:2310.12438 Preprint, arXiv:2310.12438 [math.CA] (2023). MSC: 70G65 33E30 11F22 34A34 76M60 BibTeX Cite \textit{Y. Acevedo} et al., ``Lie Algebra Classification, Conservation Laws and Invariant Solutions for a Variant of the Levinson-Smith Equation'', Preprint, arXiv:2310.12438 [math.CA] (2023) Full Text: arXiv OA License
Simon, Sergi Formal first integrals and higher variational equations. arXiv:2309.04449 Preprint, arXiv:2309.04449 [math.DS] (2023). MSC: 34A05 37C79 37J99 37J30 34M15 34C28 37C10 15A69 16W60 13F25 37N25 BibTeX Cite \textit{S. Simon}, ``Formal first integrals and higher variational equations'', Preprint, arXiv:2309.04449 [math.DS] (2023) Full Text: arXiv OA License
de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia Reduction and reconstruction of multisymplectic Lie systems. (English) Zbl 1507.34066 J. Phys. A, Math. Theor. 55, No. 29, Article ID 295204, 34 p. (2022). MSC: 34G20 53D05 53D20 37J37 37J65 70G65 PDFBibTeX XMLCite \textit{J. de Lucas} et al., J. Phys. A, Math. Theor. 55, No. 29, Article ID 295204, 34 p. (2022; Zbl 1507.34066) Full Text: DOI arXiv
Morales-Salgado, Vicente Said An affine Weyl group characterization of polynomial Heisenberg algebras. (English) Zbl 1502.81038 Ann. Phys. 444, Article ID 169037, 11 p. (2022). MSC: 81Q60 81S05 35R03 11F68 34M55 37K35 81R05 PDFBibTeX XMLCite \textit{V. S. Morales-Salgado}, Ann. Phys. 444, Article ID 169037, 11 p. (2022; Zbl 1502.81038) Full Text: DOI arXiv
Yagasaki, Kazuyuki Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits. (English) Zbl 1497.37063 J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022). MSC: 37J30 34E10 34M15 34M35 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022; Zbl 1497.37063) Full Text: DOI arXiv
Sanabria Malagón, Camilo Solutions of algebraic linear ordinary differential equations. (English) Zbl 1507.12007 J. Algebra 602, 60-82 (2022). Reviewer: Thomas Dreyfus (Paris) MSC: 12H05 34A30 34M15 33C20 33C80 PDFBibTeX XMLCite \textit{C. Sanabria Malagón}, J. Algebra 602, 60--82 (2022; Zbl 1507.12007) Full Text: DOI arXiv
Takenawa, Tomoyuki Space of initial conditions for the four-dimensional Fuji-Suzuki-Tsuda system. (English) Zbl 1508.37082 RIMS Kôkyûroku Bessatsu B87, 99-111 (2021). MSC: 37J65 37J38 37J70 34M55 14E07 PDFBibTeX XMLCite \textit{T. Takenawa}, RIMS Kôkyûroku Bessatsu B87, 99--111 (2021; Zbl 1508.37082) Full Text: arXiv Link
Buchstaber, V. M.; Tertychnyi, S. I. Categories of symmetry groups of the space of solutions of the special doubly confluent Heun equation. (English. Russian original) Zbl 07455543 Math. Notes 110, No. 5, 643-654 (2021); translation from Mat. Zametki 110, No. 5, 643-657 (2021). MSC: 20Fxx 34Mxx 33Cxx PDFBibTeX XMLCite \textit{V. M. Buchstaber} and \textit{S. I. Tertychnyi}, Math. Notes 110, No. 5, 643--654 (2021; Zbl 07455543); translation from Mat. Zametki 110, No. 5, 643--657 (2021) Full Text: DOI
Shibayama, Mitsuru; Yamada, Junji Nonintegrability of the reduced planar three-body problem with generalized force. (English) Zbl 1484.70021 Regul. Chaotic Dyn. 26, No. 4, 439-455 (2021). Reviewer: Sergi Simon (Portsmouth) MSC: 70H07 70F07 37J30 34M15 PDFBibTeX XMLCite \textit{M. Shibayama} and \textit{J. Yamada}, Regul. Chaotic Dyn. 26, No. 4, 439--455 (2021; Zbl 1484.70021) Full Text: DOI
Nagiyev, Sh. N.; Mir-Kasimov, R. M. Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group. (English. Russian original) Zbl 1482.81012 Theor. Math. Phys. 208, No. 3, 1265-1276 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 481-494 (2021). MSC: 81Q05 81R20 34C10 65L12 33C45 81S22 35P05 PDFBibTeX XMLCite \textit{Sh. N. Nagiyev} and \textit{R. M. Mir-Kasimov}, Theor. Math. Phys. 208, No. 3, 1265--1276 (2021; Zbl 1482.81012); translation from Teor. Mat. Fiz. 208, No. 3, 481--494 (2021) Full Text: DOI
Abdi, N.; Aminikhah, H.; Sheikhani, A. H. Refahi High-order rotated grid point iterative method for solving 2D time fractional telegraph equation and its convergence analysis. (English) Zbl 1476.34157 Comput. Appl. Math. 40, No. 2, Paper No. 54, 26 p. (2021). MSC: 34K37 65M06 65D07 PDFBibTeX XMLCite \textit{N. Abdi} et al., Comput. Appl. Math. 40, No. 2, Paper No. 54, 26 p. (2021; Zbl 1476.34157) Full Text: DOI
Yagasaki, Kazuyuki A new proof of Poincaré’s result on the restricted three-body problem. arXiv:2111.11031 Preprint, arXiv:2111.11031 [math.DS] (2021). MSC: 70F07 37J30 34E10 34M15 34M35 37J40 BibTeX Cite \textit{K. Yagasaki}, ``A new proof of Poincar\'e's result on the restricted three-body problem'', Preprint, arXiv:2111.11031 [math.DS] (2021) Full Text: arXiv OA License
Acosta-Humánez, Primitivo B.; Álvarez-Ramírez, Martha; Stuchi, Teresinha J. A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials. arXiv:2112.05072 Preprint, arXiv:2112.05072 [math.DS] (2021). MSC: 34M15 12H05 37J35 BibTeX Cite \textit{P. B. Acosta-Humánez} et al., ``A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials'', Preprint, arXiv:2112.05072 [math.DS] (2021) Full Text: arXiv OA License
Yagasaki, Kazuyuki Nonintegrability of the restricted three-body problem. arXiv:2106.04925 Preprint, arXiv:2106.04925 [math.DS] (2021). MSC: 70F07 37J30 34E10 34M15 34M35 37J40 BibTeX Cite \textit{K. Yagasaki}, ``Nonintegrability of the restricted three-body problem'', Preprint, arXiv:2106.04925 [math.DS] (2021) Full Text: arXiv OA License
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 1457.39006 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDFBibTeX XMLCite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 1457.39006) Full Text: Link
Bihlo, Alex; Jackaman, James; Valiquette, Francis On the development of symmetry-preserving finite element schemes for ordinary differential equations. (English) Zbl 1452.65136 J. Comput. Dyn. 7, No. 2, 339-368 (2020). MSC: 65L60 34C14 58D19 PDFBibTeX XMLCite \textit{A. Bihlo} et al., J. Comput. Dyn. 7, No. 2, 339--368 (2020; Zbl 1452.65136) Full Text: DOI arXiv
Maciejewski, Andrzej J.; Przybylska, Maria Integrability analysis of the stretch-twist-fold flow. (English) Zbl 1445.37038 J. Nonlinear Sci. 30, No. 4, 1607-1649 (2020). MSC: 37J30 37J35 34M15 76W05 76D07 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, J. Nonlinear Sci. 30, No. 4, 1607--1649 (2020; Zbl 1445.37038) Full Text: DOI
Colombo, Leonardo J.; Eyrea Irazú, María Emma Symmetries and periodic orbits in simple hybrid Routhian systems. (English) Zbl 1447.37055 Nonlinear Anal., Hybrid Syst. 36, Article ID 100857, 14 p. (2020). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J06 37J11 37N10 37N35 34C14 70H33 70K42 70G65 PDFBibTeX XMLCite \textit{L. J. Colombo} and \textit{M. E. Eyrea Irazú}, Nonlinear Anal., Hybrid Syst. 36, Article ID 100857, 14 p. (2020; Zbl 1447.37055) Full Text: DOI arXiv
Acosta-Humánez, Primitivo B.; Yagasaki, Kazuyuki Nonintegrability of the unfoldings of codimension-two bifurcations. (English) Zbl 1439.37053 Nonlinearity 33, No. 4, 1366-1387 (2020). MSC: 37J30 37G05 34M15 34C07 34C23 PDFBibTeX XMLCite \textit{P. B. Acosta-Humánez} and \textit{K. Yagasaki}, Nonlinearity 33, No. 4, 1366--1387 (2020; Zbl 1439.37053) Full Text: DOI arXiv
Bujac, Cristina The classification of a family of cubic differential systems in terms of configurations of invariant lines of the type \((3,3)\). (English) Zbl 1474.58013 Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 79-98 (2019). MSC: 58K45 34C05 34A34 PDFBibTeX XMLCite \textit{C. Bujac}, Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 79--98 (2019; Zbl 1474.58013) Full Text: Link
Roul, Pradip; Prasad Goura, V. M. K.; Madduri, Harshita; Obaidurrahman, K. Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation. (English) Zbl 1428.82076 Appl. Numer. Math. 145, 201-226 (2019). MSC: 82D75 34A08 65L12 82M20 PDFBibTeX XMLCite \textit{P. Roul} et al., Appl. Numer. Math. 145, 201--226 (2019; Zbl 1428.82076) Full Text: DOI
Qu, Jingjia Complex dynamics of some Hamiltonian systems: nonintegrability of equations of motion. (English) Zbl 1415.37079 Adv. Math. Phys. 2019, Article ID 9326947, 10 p. (2019). MSC: 37J30 37J35 34M50 PDFBibTeX XMLCite \textit{J. Qu}, Adv. Math. Phys. 2019, Article ID 9326947, 10 p. (2019; Zbl 1415.37079) Full Text: DOI
Belavin, Vladimir; Haraoka, Yoshishige; Santachiara, Raoul Rigid Fuchsian systems in 2-dimensional conformal field theories. (English) Zbl 1435.37083 Commun. Math. Phys. 365, No. 1, 17-60 (2019). Reviewer: Laure Gouba (Trieste) MSC: 37J37 37J38 81T40 34M03 17B68 34M15 PDFBibTeX XMLCite \textit{V. Belavin} et al., Commun. Math. Phys. 365, No. 1, 17--60 (2019; Zbl 1435.37083) Full Text: DOI arXiv
Guillot, Adolfo Complex differential equations and geometric structures on curves. (English) Zbl 1409.37053 Hernández-Lamoneda, Luis (ed.) et al., Geometrical themes inspired by the N-body problem. Lecture notes given at the 7th mini-meeting on differential geometry, Center for Research in Mathematics (CIMAT), Guanajuato, México, February 17–19, 2015. Cham: Springer. Lect. Notes Math. 2204, 1-47 (2018). Reviewer: Thomas Dreyfus (Paris) MSC: 37F75 34M15 34M35 34M45 37J35 37J05 32M25 32S65 PDFBibTeX XMLCite \textit{A. Guillot}, Lect. Notes Math. 2204, 1--47 (2018; Zbl 1409.37053) Full Text: DOI
Yanchenko, A. Ya.; Podkopaeva, V. A. On entire functions – solutions of a class of algebraic differential equations. (Russian. English summary) Zbl 1402.34089 Sib. Èlektron. Mat. Izv. 15, 1284-1291 (2018). MSC: 34M05 34M15 PDFBibTeX XMLCite \textit{A. Ya. Yanchenko} and \textit{V. A. Podkopaeva}, Sib. Èlektron. Mat. Izv. 15, 1284--1291 (2018; Zbl 1402.34089)
Lisovyy, O.; Nagoya, H.; Roussillon, J. Irregular conformal blocks and connection formulae for Painlevé V functions. (English) Zbl 1404.33020 J. Math. Phys. 59, No. 9, 091409, 27 p. (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 58B15 14D05 17B68 34M30 34M35 34M40 34M50 34M55 34E05 35Q15 32S40 58K10 81R05 81R10 PDFBibTeX XMLCite \textit{O. Lisovyy} et al., J. Math. Phys. 59, No. 9, 091409, 27 p. (2018; Zbl 1404.33020) Full Text: DOI arXiv
Hooton, Edward; Kravetc, Pavel; Rachinskii, Dmitrii Restrictions to the use of time-delayed feedback control in symmetric settings. (English) Zbl 1441.93088 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 543-556 (2018). MSC: 93B52 37C27 34K35 34C14 PDFBibTeX XMLCite \textit{E. Hooton} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 543--556 (2018; Zbl 1441.93088) Full Text: DOI
Buchstaber, V. M.; Tertychnyi, S. I. Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. (English. Russian original) Zbl 1395.34086 Math. Notes 103, No. 3, 357-371 (2018); translation from Mat. Zametki 103, No. 3, 346-363 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M03 20C05 34M15 PDFBibTeX XMLCite \textit{V. M. Buchstaber} and \textit{S. I. Tertychnyi}, Math. Notes 103, No. 3, 357--371 (2018; Zbl 1395.34086); translation from Mat. Zametki 103, No. 3, 346--363 (2018) Full Text: DOI
Shen, Shou-feng; Jin, Yong-yang Group classification of differential-difference equations: low-dimensional Lie algebras. (English) Zbl 1375.34058 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 345-362 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 34C14 PDFBibTeX XMLCite \textit{S.-f. Shen} and \textit{Y.-y. Jin}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 345--362 (2017; Zbl 1375.34058) Full Text: DOI
Dong, Tao; Wang, Aijuan; Liao, Xiaofeng Impact of discontinuous antivirus strategy in a computer virus model with the point to group. (English) Zbl 1452.68032 Appl. Math. Modelling 40, No. 4, 3400-3409 (2016). MSC: 68M25 34C60 34D20 PDFBibTeX XMLCite \textit{T. Dong} et al., Appl. Math. Modelling 40, No. 4, 3400--3409 (2016; Zbl 1452.68032) Full Text: DOI
Murza, Adrian C. The cyclic Hopf \(H\bmod K\) Theorem. (English) Zbl 1389.37014 Math. Rep., Buchar. 18(68), No. 3, 327-334 (2016). MSC: 37C80 37G40 34C15 34C23 34C25 PDFBibTeX XMLCite \textit{A. C. Murza}, Math. Rep., Buchar. 18(68), No. 3, 327--334 (2016; Zbl 1389.37014) Full Text: arXiv
Morales-Ruiz, Juan J. Integrable systems and differential Galois theory. (English) Zbl 1418.37096 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016). MSC: 37J35 37J30 34M50 12H05 34M15 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. 1--33 (2016; Zbl 1418.37096) Full Text: DOI
Combot, Thierry Integrable planar homogeneous potentials of degree \(- 1\) with small eigenvalues. (Les potentiels intégrables homogènes de degré \(-1\) du plan avec petites valeurs propres.) (English. French summary) Zbl 1417.37199 Ann. Inst. Fourier 66, No. 6, 2253-2298 (2016). MSC: 37J35 37J30 34M15 34M35 PDFBibTeX XMLCite \textit{T. Combot}, Ann. Inst. Fourier 66, No. 6, 2253--2298 (2016; Zbl 1417.37199) Full Text: DOI arXiv
Numfor, Eric; Bhattacharya, Souvik; Martcheva, Maia; Lenhart, Suzanne Optimal control in multi-group coupled within-host and between-host models. (English) Zbl 1342.49064 Electron. J. Differ. Equ. 2016, Conf. 23, 87-117 (2016). MSC: 49N90 49J15 49K15 49J20 49K20 49M25 92D30 92C50 34D20 34C60 PDFBibTeX XMLCite \textit{E. Numfor} et al., Electron. J. Differ. Equ. 2016, 87--117 (2016; Zbl 1342.49064) Full Text: EMIS
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups. (English) Zbl 1382.37057 J. Differ. Equations 260, No. 11, 8207-8228 (2016). Reviewer: Ivailo Mladenov (Sofia) MSC: 37J35 34A26 17B62 17B63 17B80 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., J. Differ. Equations 260, No. 11, 8207--8228 (2016; Zbl 1382.37057) Full Text: DOI arXiv
Aparicio-Monforte, A.; Dreyfus, T.; Weil, J.-A. Liouville integrability: an effective Morales-Ramis-Simó theorem. (English) Zbl 1418.37092 J. Symb. Comput. 74, 537-560 (2016). MSC: 37J30 37J35 34A05 34M03 34M15 34M25 17B45 20G45 34M05 17B80 PDFBibTeX XMLCite \textit{A. Aparicio-Monforte} et al., J. Symb. Comput. 74, 537--560 (2016; Zbl 1418.37092) Full Text: DOI arXiv
Stachowiak, Tomasz; Szumiński, Wojciech Non-integrability of restricted double pendula. (English) Zbl 1364.37122 Phys. Lett., A 379, No. 47-48, 3017-3024 (2015). MSC: 37J30 70K55 37D45 34C23 PDFBibTeX XMLCite \textit{T. Stachowiak} and \textit{W. Szumiński}, Phys. Lett., A 379, No. 47--48, 3017--3024 (2015; Zbl 1364.37122) Full Text: DOI arXiv
Filipuk, Galina A remark about quasi-Painlevé equations of \( P_{II} \) type. (English) Zbl 1340.34348 C. R. Acad. Bulg. Sci. 68, No. 4, 427-430 (2015). Reviewer: Petar Popivanov (Sofia) MSC: 34M55 37J30 PDFBibTeX XMLCite \textit{G. Filipuk}, C. R. Acad. Bulg. Sci. 68, No. 4, 427--430 (2015; Zbl 1340.34348)
Pinchuk, Sergey; Shafikov, Rasul Critical sets of proper holomorphic mappings. (English) Zbl 1325.32010 Proc. Am. Math. Soc. 143, No. 10, 4335-4345 (2015). Reviewer: Paweł Zapałowski (Kraków) MSC: 32D15 32V40 32H02 32H04 32H35 32M99 32T25 34M35 PDFBibTeX XMLCite \textit{S. Pinchuk} and \textit{R. Shafikov}, Proc. Am. Math. Soc. 143, No. 10, 4335--4345 (2015; Zbl 1325.32010) Full Text: DOI arXiv
Cima, Anna; Gasull, Armengol; Mañosa, Víctor Non-integrability of measure preserving maps via Lie symmetries. (English) Zbl 1355.37038 J. Differ. Equations 259, No. 10, 5115-5136 (2015). Reviewer: Eszter Gselmann (Debrecen) MSC: 37C05 34C14 37C25 37J30 39A12 70G65 PDFBibTeX XMLCite \textit{A. Cima} et al., J. Differ. Equations 259, No. 10, 5115--5136 (2015; Zbl 1355.37038) Full Text: DOI arXiv
Talwar, Jyoti; Mohanty, Ranjan Kumar A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers’ equation on a variable mesh. (English) Zbl 1319.65067 Math. Comput. Sci. 9, No. 1, 85-103 (2015). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 65L12 34B15 65M20 35Q53 65L50 65L20 PDFBibTeX XMLCite \textit{J. Talwar} and \textit{R. K. Mohanty}, Math. Comput. Sci. 9, No. 1, 85--103 (2015; Zbl 1319.65067) Full Text: DOI
Duval, Guillaume; Maciejewski, Andrzej J. Integrability of potentials of degree \(k \neq \pm 2\). Second order variational equations between Kolchin solvability and abelianity. (English) Zbl 1333.37077 Discrete Contin. Dyn. Syst. 35, No. 5, 1969-2009 (2015). Reviewer: Konstantinos Efstathiou (Suzhou) MSC: 37J30 70H07 37J35 34M35 PDFBibTeX XMLCite \textit{G. Duval} and \textit{A. J. Maciejewski}, Discrete Contin. Dyn. Syst. 35, No. 5, 1969--2009 (2015; Zbl 1333.37077) Full Text: DOI arXiv
Simon, Sergi Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian. (English) Zbl 1421.83160 J. Nonlinear Math. Phys. 21, No. 1, 1-16 (2014). MSC: 83F05 37J30 34M15 34M35 65P10 PDFBibTeX XMLCite \textit{S. Simon}, J. Nonlinear Math. Phys. 21, No. 1, 1--16 (2014; Zbl 1421.83160) Full Text: DOI arXiv
Salnikov, Vladimir Effective algorithm of analysis of integrability via the Ziglin’s method. (English) Zbl 1333.37078 J. Dyn. Control Syst. 20, No. 4, 465-474 (2014). MSC: 37J30 34M35 70M20 70F07 PDFBibTeX XMLCite \textit{V. Salnikov}, J. Dyn. Control Syst. 20, No. 4, 465--474 (2014; Zbl 1333.37078) Full Text: DOI arXiv
Zhang, Ziheng; Yuan, Rong Solutions for subquadratic fractional Hamiltonian systems without coercive conditions. (English) Zbl 1307.34019 Math. Methods Appl. Sci. 37, No. 18, 2934-2945 (2014). MSC: 34A08 37J99 58E40 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{R. Yuan}, Math. Methods Appl. Sci. 37, No. 18, 2934--2945 (2014; Zbl 1307.34019) Full Text: DOI
Dessie, Hunegnaw; Kishan, N. Scaling group analysis on MHD free convective heat and mass transfer over a stretching surface with suction / injection, heat source/sink considering viscous dissipation and chemical reaction effects. (English) Zbl 1311.34040 Appl. Appl. Math. 9, No. 2, 553-572 (2014). MSC: 34B15 76M20 76R10 76W05 PDFBibTeX XMLCite \textit{H. Dessie} and \textit{N. Kishan}, Appl. Appl. Math. 9, No. 2, 553--572 (2014; Zbl 1311.34040) Full Text: Link
Duval, Guillaume; Maciejewski, Andrzej J. Integrability of Hamiltonian systems with homogeneous potentials of degrees \(\pm 2\). An application of higher order variational equations. (English) Zbl 1331.37076 Discrete Contin. Dyn. Syst. 34, No. 11, 4589-4615 (2014). MSC: 37J30 70H07 37J35 34M35 PDFBibTeX XMLCite \textit{G. Duval} and \textit{A. J. Maciejewski}, Discrete Contin. Dyn. Syst. 34, No. 11, 4589--4615 (2014; Zbl 1331.37076) Full Text: DOI arXiv
Mohanty, R. K.; Talwar, Jyoti A single sweep AGE algorithm on a variable mesh based on off-step discretization for the solution of nonlinear Burgers’ equation. (English) Zbl 1303.65065 J. Comput. Methods Phys. 2014, Article ID 853198, 11 p. (2014). MSC: 65L10 34B15 65L12 35Q53 65L20 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{J. Talwar}, J. Comput. Methods Phys. 2014, Article ID 853198, 11 p. (2014; Zbl 1303.65065) Full Text: DOI
Guo, Li; Regensburger, Georg; Rosenkranz, Markus On integro-differential algebras. (English) Zbl 1310.16019 J. Pure Appl. Algebra 218, No. 3, 456-473 (2014). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S32 16W20 12H05 34M15 16S15 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Pure Appl. Algebra 218, No. 3, 456--473 (2014; Zbl 1310.16019) Full Text: DOI arXiv
Khovanskii, Askold [Burda, Yura] Topological Galois theory. Solvability and unsolvability of equations in finite terms. Translated from the Russian by Valentina Kirichenko, Lucy Kadets and Vladen Timorin. Appendices C and D written jointly with Yura Burda. Translation based on the Russian original 2008. (English) Zbl 1331.12001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-38870-5/hbk; 978-3-642-38871-2/ebook). xviii, 307 p. (2014). Reviewer: Teresa Crespo (Barcelona) MSC: 12-02 32-02 12F10 12H05 34M15 PDFBibTeX XMLCite \textit{A. Khovanskii}, Topological Galois theory. Solvability and unsolvability of equations in finite terms. Translated from the Russian by Valentina Kirichenko, Lucy Kadets and Vladen Timorin. Appendices C and D written jointly with Yura Burda. Translation based on the Russian original 2008. Berlin: Springer (2014; Zbl 1331.12001) Full Text: DOI
Combot, Thierry Non-integrability of a self-gravitating Riemann liquid ellipsoid. (English) Zbl 1417.37195 Regul. Chaotic Dyn. 18, No. 5, 497-507 (2013). MSC: 37J30 37J35 70G55 34M15 34M35 PDFBibTeX XMLCite \textit{T. Combot}, Regul. Chaotic Dyn. 18, No. 5, 497--507 (2013; Zbl 1417.37195) Full Text: DOI arXiv
Morales Ruiz, Juan J. Differential Galois theory and non-integrability of Hamiltonian systems. Reprint of the 1999 original. (English) Zbl 1295.37015 Modern Birkhäuser Classics. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0720-3/pbk; 978-3-0348-0723-4/ebook). xiv, 167 p. (2013). Reviewer: Xiang Zhang (Shanghai) MSC: 37J30 34-02 34M15 34M50 12H05 PDFBibTeX XMLCite \textit{J. J. Morales Ruiz}, Differential Galois theory and non-integrability of Hamiltonian systems. Reprint of the 1999 original. Basel: Birkhäuser/Springer (2013; Zbl 1295.37015) Full Text: DOI
Chaperon, Marc Normalisation of the smooth focus-focus: a simple proof. (English) Zbl 1273.34043 Acta Math. Vietnam. 38, No. 1, 3-9 (2013). MSC: 34C20 34A26 37C15 37C85 37J35 58K50 PDFBibTeX XMLCite \textit{M. Chaperon}, Acta Math. Vietnam. 38, No. 1, 3--9 (2013; Zbl 1273.34043) Full Text: DOI
Acosta-Humánez, Primitivo B.; Alvarez-Ramírez, Martha; Blázquez-Sanz, David; Delgado, Joaquín Non-integrability criterium for normal variational equations around an integrable subsystem and an example: the Wilberforce spring-pendulum. (English) Zbl 1264.37014 Discrete Contin. Dyn. Syst. 33, No. 3, 965-986 (2013). MSC: 37J30 70G55 70H06 12H05 34M45 37J35 PDFBibTeX XMLCite \textit{P. B. Acosta-Humánez} et al., Discrete Contin. Dyn. Syst. 33, No. 3, 965--986 (2013; Zbl 1264.37014) Full Text: DOI arXiv
Corsi, Livia; Feola, Roberto; Gentile, Guido Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions. (English) Zbl 1259.82036 J. Stat. Phys. 150, No. 1, 156-180 (2013). MSC: 37J40 34C45 34E13 70S05 70H08 PDFBibTeX XMLCite \textit{L. Corsi} et al., J. Stat. Phys. 150, No. 1, 156--180 (2013; Zbl 1259.82036) Full Text: DOI arXiv
Aminov, G. A. Limit relation between Toda chains and the elliptic \(\mathrm{SL}(N,\mathbb{C})\) top. (English. Russian original) Zbl 1417.37196 Theor. Math. Phys. 171, No. 2, 575-588 (2012); translation from Teor. Mat. Fiz. 171, No. 2, 179-195 (2012). MSC: 37J35 34M56 70E40 70E45 70G65 PDFBibTeX XMLCite \textit{G. A. Aminov}, Theor. Math. Phys. 171, No. 2, 575--588 (2012; Zbl 1417.37196); translation from Teor. Mat. Fiz. 171, No. 2, 179--195 (2012) Full Text: DOI
Corrêa, Maurício jun. Darboux integrability for polynomial vector fields invariant under action of finite group. (English) Zbl 1266.34003 Qual. Theory Dyn. Syst. 11, No. 1, 159-166 (2012). Reviewer: Maite Grau (Lleida) MSC: 34A05 34C14 PDFBibTeX XMLCite \textit{M. Corrêa jun.}, Qual. Theory Dyn. Syst. 11, No. 1, 159--166 (2012; Zbl 1266.34003) Full Text: DOI Link
Mohanty, R. K. A combined arithmetic average discretization and TAGE iterative method for nonlinear two point boundary value problems with a source function in integral form. (English) Zbl 1256.65076 Differ. Equ. Dyn. Syst. 20, No. 4, 423-440 (2012). MSC: 65L10 34B15 65L50 65L12 PDFBibTeX XMLCite \textit{R. K. Mohanty}, Differ. Equ. Dyn. Syst. 20, No. 4, 423--440 (2012; Zbl 1256.65076) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Integrable variational equations of non-integrable systems. (English) Zbl 1252.70019 Regul. Chaotic Dyn. 17, No. 3-4, 337-358 (2012). MSC: 70E17 70E40 37J30 70H07 34M15 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Regul. Chaotic Dyn. 17, No. 3--4, 337--358 (2012; Zbl 1252.70019) Full Text: DOI
Maier, Robert S. Quadratic Differential Systems and Chazy Equations, I. arXiv:1203.0283 Preprint, arXiv:1203.0283 [math.CA] (2012). MSC: 34M55 33C05 34M15 37J35 BibTeX Cite \textit{R. S. Maier}, ``Quadratic Differential Systems and Chazy Equations, I'', Preprint, arXiv:1203.0283 [math.CA] (2012) Full Text: arXiv OA License
Jha, Navnit; Mohanty, R. K. TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. (English) Zbl 1244.65111 Appl. Math. Comput. 218, No. 7, 3289-3296 (2011). MSC: 65L10 34B16 65Y05 65L20 65L12 PDFBibTeX XMLCite \textit{N. Jha} and \textit{R. K. Mohanty}, Appl. Math. Comput. 218, No. 7, 3289--3296 (2011; Zbl 1244.65111) Full Text: DOI
Aparicio Monforte, A.; Weil, J.-A. A reduction method for higher order variational equations of Hamiltonian systems. (English) Zbl 1243.37048 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 1-15 (2011). Reviewer: István Gaál (Debrecen) MSC: 37J30 34A05 68W30 34M15 34M25 PDFBibTeX XMLCite \textit{A. Aparicio Monforte} and \textit{J. A. Weil}, Contemp. Math. 549, 1--15 (2011; Zbl 1243.37048) Full Text: arXiv
Winternitz, Pavel Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations. (English) Zbl 1229.65133 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-13658-7/pbk). London Mathematical Society Lecture Note Series 381, 292-341 (2011). MSC: 65L12 34A34 65L05 34A26 PDFBibTeX XMLCite \textit{P. Winternitz}, Lond. Math. Soc. Lect. Note Ser. 381, 292--341 (2011; Zbl 1229.65133)
Giorgadze, G. On one necessary condition of solvability of Riemann-Hilbert monodromy problem in dimension four. (English) Zbl 1240.32023 Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 2, 42-52 (2010). MSC: 32G34 34M35 37J35 34M50 30E25 30G20 PDFBibTeX XMLCite \textit{G. Giorgadze}, Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 2, 42--52 (2010; Zbl 1240.32023)
Abért, Miklós (ed.); Gaboriau, Damien (ed.); Grunewald, Fritz (ed.) Actions and invariants of residually finite groups: asymptotic methods. Abstracts from the workshop held September 5th – September 11th, 2010. (English) Zbl 1209.00026 Oberwolfach Rep. 7, No. 3, 2335-2391 (2010). MSC: 00B05 20-06 20F69 20E26 22D40 37A20 34L20 37A15 37A30 PDFBibTeX XMLCite \textit{M. Abért} (ed.) et al., Oberwolfach Rep. 7, No. 3, 2335--2391 (2010; Zbl 1209.00026) Full Text: DOI Link
Acosta-Humánez, Primitivo B.; Álvarez-Ramírez, Martha; Delgado, Joaquín Non-integrability of some few body problems in two degrees of freedom. (English) Zbl 1200.37051 Qual. Theory Dyn. Syst. 8, No. 2, 209-239 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 34M15 37N05 PDFBibTeX XMLCite \textit{P. B. Acosta-Humánez} et al., Qual. Theory Dyn. Syst. 8, No. 2, 209--239 (2010; Zbl 1200.37051) Full Text: DOI arXiv
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre Integrability of dynamical systems through differential Galois theory: a practical guide. (English) Zbl 1294.37024 Acosta-Humánez, Primitivo B. (ed.) et al., Differential algebra, complex analysis and orthogonal polynomials. Jairo Charris Seminar 2007–2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4886-9/pbk). Contemporary Mathematics 509, 143-220 (2010). MSC: 37J30 70H07 34A05 34C14 34M15 70H06 70H33 12H05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J.-P. Ramis}, Contemp. Math. 509, 143--220 (2010; Zbl 1294.37024)
Kumar, Manoj; Gupta, Yogesh Methods for solving singular boundary value problems using splines: a review. (English) Zbl 1186.65104 J. Appl. Math. Comput. 32, No. 1, 265-278 (2010). MSC: 65L10 65-02 65L12 34B16 PDFBibTeX XMLCite \textit{M. Kumar} and \textit{Y. Gupta}, J. Appl. Math. Comput. 32, No. 1, 265--278 (2010; Zbl 1186.65104) Full Text: DOI
Przybylska, M. Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom. Nongeneric cases. (English) Zbl 1229.37060 Regul. Chaotic Dyn. 14, No. 3, 349-388 (2009). MSC: 37J30 70H07 37J35 34M35 PDFBibTeX XMLCite \textit{M. Przybylska}, Regul. Chaotic Dyn. 14, No. 3, 349--388 (2009; Zbl 1229.37060) Full Text: DOI arXiv
Przybylska, M. Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom. (English) Zbl 1229.37059 Regul. Chaotic Dyn. 14, No. 2, 263-311 (2009). MSC: 37J30 70H07 37J35 34M35 PDFBibTeX XMLCite \textit{M. Przybylska}, Regul. Chaotic Dyn. 14, No. 2, 263--311 (2009; Zbl 1229.37059) Full Text: DOI arXiv
Casale, Guy Morales-Ramis theorems via Malgrange pseudogroup. (English) Zbl 1232.12005 Ann. Inst. Fourier 59, No. 7, 2593-2610 (2009). Reviewer: Rakib Efendiev (Baku) MSC: 12H05 37J30 34M15 37C10 58H05 PDFBibTeX XMLCite \textit{G. Casale}, Ann. Inst. Fourier 59, No. 7, 2593--2610 (2009; Zbl 1232.12005) Full Text: DOI EuDML Link
Giorgadze, G. K. Density problem of monodromy representation of Fuchsian systems. (English) Zbl 1182.32006 Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 347-355 (2009). MSC: 32G34 34M35 37J35 34M50 30E25 30G20 PDFBibTeX XMLCite \textit{G. K. Giorgadze}, in: Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific. 347--355 (2009; Zbl 1182.32006)
Maciejewski, Andrzej J.; Przybylska, Maria; Yoshida, Haruo Necessary conditions for super-integrability of Hamiltonian systems. (English) Zbl 1223.37070 Phys. Lett., A 372, No. 34, 5581-5587 (2008). MSC: 37J35 37J30 32S40 11E72 34M35 34M50 33C05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., Phys. Lett., A 372, No. 34, 5581--5587 (2008; Zbl 1223.37070) Full Text: DOI
Przybylska, Maria Differential Galois obstructions for integrability of homogeneous Newton equations. (English) Zbl 1153.81420 J. Math. Phys. 49, No. 2, 022701, 40 p. (2008). MSC: 37J30 34M15 70H07 PDFBibTeX XMLCite \textit{M. Przybylska}, J. Math. Phys. 49, No. 2, 022701, 40 p. (2008; Zbl 1153.81420) Full Text: DOI arXiv
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. Integrability of Lie systems and some of its applications in physics. (English) Zbl 1148.37029 J. Phys. A, Math. Theor. 41, No. 30, Article ID 304029, 14 p. (2008). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J15 37J30 34A05 34A26 70G65 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Phys. A, Math. Theor. 41, No. 30, Article ID 304029, 14 p. (2008; Zbl 1148.37029) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew [Morales-Ruiz, Juan J.] Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. (English) Zbl 1172.12002 Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (ISBN 978-83-7242-453-2/pbk). 94 p. (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12-02 12H05 34M15 37J35 PDFBibTeX XMLCite \textit{T. Crespo} and \textit{Z. Hajto}, Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (2007; Zbl 1172.12002)
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. (English) Zbl 1144.37023 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845-884 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 37F10 34M35 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845--884 (2007; Zbl 1144.37023) Full Text: DOI Numdam EuDML
Tavakoli, Rohallah; Davami, Parviz A new parallel Gauss-Seidel method based on alternating group explicit method and domain decomposition method. (English) Zbl 1114.65317 Appl. Math. Comput. 188, No. 1, 713-719 (2007). MSC: 65F10 65L12 34B05 PDFBibTeX XMLCite \textit{R. Tavakoli} and \textit{P. Davami}, Appl. Math. Comput. 188, No. 1, 713--719 (2007; Zbl 1114.65317) Full Text: DOI
Dong, Shi-Hai Factorization method in quantum mechanics. (English) Zbl 1130.81001 Fundamental Theories of Physics 150. Dordrecht: Springer (ISBN 978-1-4020-5795-3/hbk). xix, 297 p. (2007). Reviewer: Giulio Landolfi (Lecce) MSC: 81-01 81Q05 81U15 34L40 81R15 81R05 81Q60 81R30 PDFBibTeX XMLCite \textit{S.-H. Dong}, Factorization method in quantum mechanics. Dordrecht: Springer (2007; Zbl 1130.81001)
Morales-Ruiz, Juan J. Non-integrability criteria by means of the Galois groups of variational equations: recent results and works in progress. (English) Zbl 1181.37083 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 249-252 (2006). MSC: 37J30 34C20 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 249--252 (2006; Zbl 1181.37083) Full Text: Link
Morales-Ruiz, Juan J. A remark about the Painlevé transcendents. (English) Zbl 1140.37016 Delabaere, Éric (ed.) et al., Théories asymptotiques et équations de Painlevé. Paris: Société Mathématique de France (ISBN 978-2-85629-229-7/pbk). Séminaires et Congrès 14, 229-235 (2006). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 37J30 70H07 34M55 12H05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, Sémin. Congr. 14, 229--235 (2006; Zbl 1140.37016)
Gaishun, I. V. The group of linear total differential Hamiltonian systems and strong stability of its stationary and periodic elements. (English. Russian original) Zbl 1127.37044 Differ. Equ. 42, No. 6, 779-788 (2006); translation from Differ. Uravn. 42, No. 6, 34 70 (2006). Reviewer: Vasile Marinca (Timişoara) MSC: 37J25 37J05 34A30 34D05 PDFBibTeX XMLCite \textit{I. V. Gaishun}, Differ. Equ. 42, No. 6, 779--788 (2006; Zbl 1127.37044); translation from Differ. Uravn. 42, No. 6, 34 70 (2006) Full Text: DOI
Inaba, Michi-aki; Iwasaki, Katsunori; Saito, Masa-Hiko Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI. I. (English) Zbl 1127.34055 Publ. Res. Inst. Math. Sci. 42, No. 4, 987-1089 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 14D20 32G34 34G20 37J35 PDFBibTeX XMLCite \textit{M.-a. Inaba} et al., Publ. Res. Inst. Math. Sci. 42, No. 4, 987--1089 (2006; Zbl 1127.34055) Full Text: DOI arXiv Euclid
Mohanty, R. K.; Evans, D. J.; Jha, Navnit A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems. (English) Zbl 1116.65092 J. Comput. Methods Sci. Eng. 6, No. 1-4, 57-69 (2006). MSC: 65L10 34B15 34B05 65L12 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., J. Comput. Methods Sci. Eng. 6, No. 1--4, 57--69 (2006; Zbl 1116.65092)
Balanov, Zalman; Krawcewicz, Wiesław; Steinlein, Heinrich [Zabreiko, P. P.; Ruan, H.; Biglands, A.; Krasnov, Y.; Kushkuley, A.] Applied equivariant degree. (English) Zbl 1123.47043 AIMS Series on Differential Equations and Dynamical Systems 1. Springfield, MO: American Institute of Mathematical Sciences (ISBN 978-1-60133-001-7/hbk). xxiii, 552 p. (2006). Reviewer: Radu Precup (Cluj-Napoca) MSC: 47Jxx 47H11 47J25 37C80 34B15 34C23 34C25 34K10 34K13 34K18 34G20 35A15 35J20 35K10 35K20 35K50 35K55 47H10 47J05 47J30 54H20 54H25 55M20 55M25 55M35 55Q10 55Q91 57S17 57S25 58C30 58E05 58E07 58E09 58E40 92D25 37C15 37C25 34A34 34C14 34D20 17A60 47-02 57-02 58-02 PDFBibTeX XMLCite \textit{Z. Balanov} et al., Applied equivariant degree. Springfield, MO: American Institute of Mathematical Sciences (2006; Zbl 1123.47043)
Mohanty, R. K.; Arora, Urvashi A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization. (English) Zbl 1102.65083 Appl. Math. Comput. 180, No. 2, 538-548 (2006). MSC: 65L10 34B16 65L20 65L12 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{U. Arora}, Appl. Math. Comput. 180, No. 2, 538--548 (2006; Zbl 1102.65083) Full Text: DOI
Bardin, B. S.; Maciejewski, A. J.; Przybylska, M. Integrability of generalized Jacobi problem. (English) Zbl 1133.37325 Regul. Chaotic Dyn. 10, No. 4, 437-461 (2005). MSC: 37J30 37J35 34M35 70H06 PDFBibTeX XMLCite \textit{B. S. Bardin} et al., Regul. Chaotic Dyn. 10, No. 4, 437--461 (2005; Zbl 1133.37325) Full Text: DOI
Cyr-Gagnon, C. Comparison of symmetry preserving difference schemes with standard numerical methods. (English) Zbl 1081.65073 Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 119-131 (2005). MSC: 65L12 34A26 39A12 34C14 22E20 34A34 PDFBibTeX XMLCite \textit{C. Cyr-Gagnon}, in: Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26--31, 2003. Providence, RI: American Mathematical Society (AMS). 119--131 (2005; Zbl 1081.65073)
Mohanty, R. K.; Khosla, N. A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. (English) Zbl 1117.65349 Int. J. Comput. Math. 82, No. 10, 1261-1273 (2005). MSC: 65L10 34B05 34B16 65L20 65L12 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{N. Khosla}, Int. J. Comput. Math. 82, No. 10, 1261--1273 (2005; Zbl 1117.65349) Full Text: DOI
Evans, D. J.; Mohanty, R. K. On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. (English) Zbl 1064.65064 Int. J. Comput. Math. 82, No. 3, 341-353 (2005). MSC: 65L10 34B16 65L12 65L70 65L50 65Y05 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{R. K. Mohanty}, Int. J. Comput. Math. 82, No. 3, 341--353 (2005; Zbl 1064.65064) Full Text: DOI
Mohanty, R. K.; Evans, D. J. Highly accurate two parameter CAGE parallel algorithms for non-linear singular two-point boundary value problems. (English) Zbl 1070.65064 Int. J. Comput. Math. 82, No. 4, 433-444 (2005). MSC: 65L10 65Y05 34B16 65L12 65H10 65L70 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. J. Evans}, Int. J. Comput. Math. 82, No. 4, 433--444 (2005; Zbl 1070.65064) Full Text: DOI
Ohmiya, Mayumi Covering map and the elliptic Calogero system. (English) Zbl 1205.37071 WSEAS Trans. Math. 3, No. 3, 555-559 (2004). MSC: 37J35 34M15 PDFBibTeX XMLCite \textit{M. Ohmiya}, WSEAS Trans. Math. 3, No. 3, 555--559 (2004; Zbl 1205.37071)
Suzuki, Masaki; Tahara, Nobuhiko; Takano, Kyoichi Hierarchy of Bäcklund transformation groups of the Painlevé systems. (English) Zbl 1079.37048 J. Math. Soc. Japan 56, No. 4, 1221-1232 (2004). Reviewer: Shun Shimomura (Yokohama) MSC: 37J05 34M15 37J35 34M55 37K35 PDFBibTeX XMLCite \textit{M. Suzuki} et al., J. Math. Soc. Japan 56, No. 4, 1221--1232 (2004; Zbl 1079.37048) Full Text: DOI arXiv
Maier, Robert S. Algebraic solutions of the Lamé equation, revisited. (English) Zbl 1082.34078 J. Differ. Equations 198, No. 1, 16-34 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34M35 33E10 14H05 34M15 PDFBibTeX XMLCite \textit{R. S. Maier}, J. Differ. Equations 198, No. 1, 16--34 (2004; Zbl 1082.34078) Full Text: DOI arXiv
Ziglin, S. L. An analytic proof of the nonintegrability of the ABC-flow for \(A=B=C\). (English. Russian original) Zbl 1128.37306 Funct. Anal. Appl. 37, No. 3, 225-227 (2003); translation from Funkts. Anal. Prilozh. 37, No. 3, 77-80 (2003). MSC: 37J30 34C20 37N10 PDFBibTeX XMLCite \textit{S. L. Ziglin}, Funct. Anal. Appl. 37, No. 3, 225--227 (2003; Zbl 1128.37306); translation from Funkts. Anal. Prilozh. 37, No. 3, 77--80 (2003) Full Text: DOI
Lian, Bong H.; Yau, Shing-Tung The \(n\)th root of the mirror map. (English) Zbl 1048.11049 Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 195-199 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G25 34M15 12H25 14J32 32Q25 33C20 PDFBibTeX XMLCite \textit{B. H. Lian} and \textit{S.-T. Yau}, Fields Inst. Commun. 38, 195--199 (2003; Zbl 1048.11049)
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit TAGE method for nonlinear singular two point boundary value problem using a fourth order difference scheme. (English) Zbl 1047.65057 Neural Parallel Sci. Comput. 11, No. 3, 281-296 (2003). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 65L12 34B16 35Q53 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Neural Parallel Sci. Comput. 11, No. 3, 281--296 (2003; Zbl 1047.65057)
Iwasaki, Katsunori An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation. (English) Zbl 1044.34051 Commun. Math. Phys. 242, No. 1-2, 185-219 (2003). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 37J35 20H10 32G34 PDFBibTeX XMLCite \textit{K. Iwasaki}, Commun. Math. Phys. 242, No. 1--2, 185--219 (2003; Zbl 1044.34051) Full Text: DOI
Kojouharov, H.; Welfert, B. A nonstandard Euler scheme for \(y''+g(y)y'+f(y)y=0\). (English) Zbl 1018.65091 J. Comput. Appl. Math. 151, No. 2, 335-353 (2003). MSC: 65L06 34A34 65L05 65L20 68W30 PDFBibTeX XMLCite \textit{H. Kojouharov} and \textit{B. Welfert}, J. Comput. Appl. Math. 151, No. 2, 335--353 (2003; Zbl 1018.65091) Full Text: DOI