P 25064 Extended group analysis of differential equations
 
Project
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Project Publications
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Final Report

Invited conference talks

  • Darboux transformations of linear evolution equations,
    Ninth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 10–14, 2018 (Larnaca, Cyprus)

  • Direct and inverse problems on conservation laws,
    Eighth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 12–17, 2016 (Larnaca, Cyprus)

  • Potential symmetries and potential conservation laws of linear evolution equations,
    Seventh Workshop "Group Analysis of Differential Equations and Integrable Systems", June 15–19, 2014 (Larnaca, Cyprus)

    • Invited seminar talks

  • Equivalence groups and equivalence groupoids of classes of differential equations, 21 September 2017,
    Colloquium of     Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

  • Inverse problem on conservation laws: theory and applications, 6 April 2017,
    Seminar "Nonlinear differential equations: symmetries, ansatzes, solutions", Faculty of Applied Mathematics, AGH University of Science and Technology (Krakow, Poland)

  • Point-transformation structures on classes of differential equations, 14 February 2017,
    Ostrava Seminar on Mathematical Physics, Department of Mathematics, University of Ostrava (Czech Republic)

  • Inverse problems on conservation laws and conservative parameterizations, 26 September 2016,
    Colloquium of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

  • Contractions of Lie algebras, 20 September 2016,
    Seminar of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

  • Inverse problems on conservation laws of differential equations, 11 September 2015,
    Math and Stats Colloquium, Department of Mathematics and Statistics, University of Saskatchewan (Saskatoon, Canada)

  • Equivalence groupoids of classes of differential equations, 3 October 2013,
    Mathematics and Statistics Seminar, Department of Mathematics and Statistics, University of Cyprus (Nicosia, Cyprus)

  • Point transformations in classes of differential equations, 11 June 2013,
    Math and Stats Colloquium, Department of Mathematics and Statistics, University of Saskatchewan (Saskatoon, Canada)

  • Local conservation laws of differential equations: algorithms and further development, 24 April 2013,
    CRM Applied Mathematics Seminar, Department of Mathematics and Statistics, McGill University (Montréal, Canada)

    • Conference talks

  • Conservation laws of even-order evolution equation,
    Workshop on Integrable Nonlinear Equations, 18-24 October, 2015, (Mikulov, Czech Republic)

  • Conservation laws of evolution equations,
    Workshop "Applications of symmetries to differential equations", 24-26 June, 2013, (St. Catharines, Canada)

    • Seminar talks

  • Linear ordinary differential equations with parameter, 29 June 2018,
    DIANA seminar, Faculty of Mathematics, University of Vienna (Vienna, Austria)

  • Enhanced group classification of nonlinear diffusion-reaction equations with gradient-dependent diffusion,
    26 April 2018,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Discrete symmetries of systems of differential equations with finite-dimensional Lie symmetry algebras,
    25 January 2017,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Conservation laws of evolution equations, 4 April 2017,
    Scientific Council of Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Effective generalized equivalence groups, 3 April 2017,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Structures formed by point transformations in classes of differential equations. III, 13 March 2017,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Structures formed by point transformations in classes of differential equations. II, 6 March 2017,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Structures formed by point transformations in classes of differential equations. I, 27 February 2017,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Contractions of Lie algebras, 12 December 2016,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Direct and inverse problems for conservation laws. II, 21 November 2016,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Direct and inverse problems for conservation laws. I, 14 November 2016,
    Seminar on Differential Geometry and its Applications, Mathematical Institute, Silesian University (Opava, Czech Republic)

  • Noether theorems, 27 March 2015,
    DIANA seminar, Faculty of Mathematics, University of Vienna (Vienna, Austria)

  • Equivalence of characteristics of conservation laws, 17 February 2015,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Linear coverings of second-order evolution equations, 12 February 2015,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Conservation laws of abnormal systems of differential equations, 5 February 2015,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Loewy decomposition of linear differential equations, 19 September 2013,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

  • Conservation laws and abnormality of differential equations, 12 September 2013,
    Seminar on Group Theoretical Method in Differential Equations, Institute of Mathematics, NAS of Ukraine (Kyiv, Ukraine)

    • Joint conference talks

  • Opanasenko S.,
    Effective generalized equivalence groups,
    Ninth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 10–14, 2018 (Larnaca, Cyprus)

  • Boyko V. and Popovych R.O.,
    Extended generalized equivalence groups of classes of linear ordinary differential equations,
    Ninth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 10–14, 2018 (Larnaca, Cyprus)

  • Boyko V., Kunzinger M. and Popovych R.O.,
    Singular reduction modules of differential equation,
    International Workshop ''Symmetries and integrability of equations of mathematical physics'' in honor of Wilhelm Fushchych, 17-20 December 2016 (Kyiv, Ukraine)

  • Boyko V. and Popovych R.O.,
    Algebraic approach and group classification of classes of linear ordinary differential equations,
    Eighth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 12–17, 2016 (Larnaca, Cyprus)

  • Kurujyibwami C., Basarab-Horwath P. and Popovych R.O.,
    Group classification of multidimensional nonlinear Schrödinger equations,
    Eighth Workshop "Group Analysis of Differential Equations and Integrable Systems", June 12–17, 2016 (Larnaca, Cyprus)

  • Boyko V. and Popovych R.O.,
    Equivalence groupoids of classes of linear ordinary differential equations and their group classification,
    International Workshop ''Symmetries and integrability of equations of mathematical physics'' in honor of 70th birthday of Anatoly Nikitin, 27-28 December 2015 (Kyiv, Ukraine)

  • Boyko V., Popovych R.O. and Shapoval N.M.,
    Equivalence Groupoids and Group Classification of Classes of Linear Ordinary Differential Equations,
    Seventh Workshop "Group Analysis of Differential Equations and Integrable Systems", June 15–19, 2014 (Larnaca, Cyprus)

  • Kurujyibwami C., Basarab-Horwath P. and Popovych R.O.,
    Algebraic Method for Group Classification of (1+1)-Dimensional Linear Schrödinger Equations,
    Seventh Workshop "Group Analysis of Differential Equations and Integrable Systems", June 15–19, 2014 (Larnaca, Cyprus)

  • Vaneeva O. and Popovych R.O.,
    Equivalence transformations in the study of integrability,
    International Workshop ''Symmetries and integrability of equations of mathematical physics'' in honor of Wilhelm Fushchych, 21-24 December 2013 (Kyiv, Ukraine)

    • Seminar talks of other project participants

  • Dos Santos Cardoso-Bihlo E.M.,
    Parameterization schemes with symmetry properties,
    26 June 2017,
    Seminar of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

  • Bihlo A.,
    Recent advancements in geometric numerical integration, 26 March 2015,
    Seminar on Symmetries and Differential Equations, Mathematics Department, University of British Columbia (Vancouver, BC, Canada)

  • Dos Santos Cardoso-Bihlo E.M.,
    Invariant turbulence modeling, 9 March 2015,
    Institute of Applied Mathematics, Mathematics Department, University of British Columbia (Vancouver, BC, Canada)

  • Dos Santos Cardoso-Bihlo E.M.,
    Lie symmetry analysis of the primitive equations,
    12 Februry 2015,
    Seminar on Symmetries and Differential Equations, Mathematics Department, University of British Columbia (Vancouver, BC, Canada)

  • Bihlo A.,
    Invariant and conservative numerical schemes: Theory and applications, 5 Februry 2015,
    Seminar on Symmetries and Differential Equations, Mathematics Department, University of British Columbia (Vancouver, BC, Canada)

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    With support from     		FWFDer Wissenschaftsfonds