Membros > Investigadores e Pós-Docs

Gennady Kulikov

Morada Institucional

Instituto Superior Técnico (IST)
Av. Rovisco Pais 1
1049-001 LISBOA


Telefone: | Email: gkulikovprof@yahoo.com | Web: fenix.tecnico.ulisboa.pt/homepage/ist25063/

Posição

Investigador Principal (FCT Investigador), Instituto Superior Técnico, Universidade de Lisboa

Área

Análise Numérica e Aplicações

Área Principal

Matemática Computacional

Outra Área

Não-linear Filtragem

Qualificações

  • 2002 Agregação em Matemática, Ministry of General and Professional Education of Russian Federation.
  • 1994 Doutoramento em Ciências Físico-Matemáticas, Computing Centre of Russian Academy of Sciences, Russian Federation.
  • 1988 Mestrado em matemática, Universidade Estatal de Moscovo Lomonossov, Russian Federation.

Editor de revistas internacionais:

  • Journal of Applied Mathematics and Computing (2002-2003)

Publicações

Artigos em Revistas Internacionais

Weiner, R ; Kulikov, Gennady Yu; Beck, S.; Brud, J. (2017) New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations. Journal of Computational and Applied Mathematics: 316, 380-391.
Kulikov, Gennady Yu; Kulikova, Maria (2017) Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements. Applied Numerical Mathematics: 111, 260-275.
Kulikov, Gennady Yu; Kulikova, Maria (2017) Practical implementation of extended Kalman filtering in chemical systems with sparse measurements. Russian Journal of Numerical Analysis and Mathematical Modelling: (in press).
Kulikov, Gennady Yu; Kulikova, Maria (2017) Accurate continuous–discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking. Signal Processing: 139, 25-35.
Kulikova, Maria; Kulikov, Gennady Yu (2017) NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models. Journal of Computational and Applied Mathematics: 316, 260-270.
Kulikov, Gennady Yu; Kulikova, Maria (2017) The continuous-discrete extended Kalman filter revisited. Russian Journal of Numerical Analysis and Mathematical Modelling: 32(1), 27-38.
Kulikov, Gennady Yu; Kulikova, Maria (2017) Accurate state estimation in continuous-discrete stochastic state-space systems with nonlinear or nondifferentiable observations. IEEE Transactions on Automatic Control: 43(8), 4243-4250.
Kulikov, Gennady Yu; Kulikova, Maria (2017) Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering. Mathematics and Computers in Simulation: (in press).
Kulikov, Gennady Yu; Kulikova, Maria (2017) Square-root Kalman-like filters for estimation of stiff continuous-time stochastic systems with ill-conditioned measurements. IET Control Theory and Applications: 11(9), 1420-1425.
Kulikov, Gennady Yu; Kulikova, Maria (2016) Estimating the state in stiff continuous-time stochastic systems within extended Kalman filtering. SIAM Journal on Scientific Computing : 38(6), A3565-A3588.
Kulikov, Gennady Yu; Kulikova, Maria (2016) The accurate continuous-discrete extended Kalman filter for radar tracking. IEEE Transactions on Signal Processing: 64(4), 948-958.
Kulikov, Gennady Yu (2015) Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems. Computational Mathematics and Mathematical Physics: 55(6), 983-1003.
Kulikov, Gennady Yu; Weiner, R. (2015) A singly diagonally implicit two-step peer triple with global error control for stiff ordinary differential equations. SIAM Journal on Scientific Computing: 37(3), A1593–A1613.
Kulikov, Gennady Yu; Kulikova, Maria (2015) High-order accurate continuous-discrete extended Kalman filter for chemical engineering. European Journal of Control: 21, 14-26.
Kulikov, Gennady Yu; Kulikova, Maria (2015) The accurate continuous-discrete extended Kalman filter for continuous-time stochastic systems. Russian Journal of Numerical Analysis and Mathematical Modelling: 30(4), 239-249.
Kulikov, Gennady Yu; Lima, Pedro M.; Morgado, M. Luísa (2014) Analysis and Numerical Approximation of Singular Boundary Value Problems with the P-Laplacian in Fluid Mechanics. Journal of Computational and Applied Mathematics: 262, 87-104.
Weiner, R.; Kulikov, Gennady Yu (2014) Efficient Error Control in Numerical Integration of Ordinary Differential Equations and Optimal Interpolating Variable-Stepsize Peer Methods. Computational Mathematics and Mathematical Physics: 54(4), 604-619.
Kulikova, Maria; Kulikov, Gennady Yu (2014) Adaptive ODE Solvers in Extended Kalman Filtering Algorithms. Journal of Computational and Applied Mathematics: 262, 205-216.
Kulikov, Gennady Yu; Kulikova, Maria (2014) Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter. IEEE Transactions on Automatic Control: 59(1), 273-279.
Weiner, R.; Kulikov, Gennady Yu (2014) Local and Global Error Estimation and Control Within Explicit Two-Step Peer Triples. Journal of Computational and Applied Mathematics: 262, 261-270.
Kulikov, Gennady Yu (2013) Adaptive Nordsieck Formulas with Advanced Global Error Control Mechanisms. Russian Journal of Numerical Analysis and Mathematical Modelling: 28(4), 321-352.
Kulikov, Gennady Yu (2013) Cheap global error estimation in some Runge-Kutta pairs. IMA Journal of Numerical Analysis: 33(1), 136-163.
Weiner, R.; Kulikov, Gennady Yu; Podhaisky, H. (2012) Variable-Stepsize Doubly Quasi-Consistent Parallel Explicit Peer Methods with Global Error Control. Applied Numerical Mathematics: 62(10), 1591-1603.
Kulikov, Gennady Yu (2012) Global Error Control in Adaptive Nordsieck Methods. SIAM Journal on Scientific Computing: 34(2), A839-A860.
Kulikov, Gennady Yu (2012) Solving the Order Reduction Phenomenon in Variable Step Size Quasi-Consistent Nordsieck Methods. Computational Mathematics and Mathematical Physics: 52(11), 1547-1564.
Kulikov, Gennady Yu; Weiner, R. (2011) Global Error Estimation and Control in Linearly-Implicit Parallel Two-Step Peer W-Methods. Journal of Computational and Applied Mathematics: 236(6), 1226-1239.
Kulikov, Gennady Yu; Kuznetsov, E.B.; Khrustaleva, E.Yu. (2011) On the global error control in nested implicit Runge-Kutta methods of Gauss type. Numerical Analysis and Applications: 14(3), 245-259.
Kulikov, Gennady Yu (2011) Proportional Extrapolation and Symmetric One-Step Methods. Russian Journal of Numerical Analysis and Mathematical Modelling: 26(1), 49-73.
Kulikov, Gennady Yu; Weiner, R. (2010) Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control. SIAM Journal on Scientific Computing: 32(4), 1695-1723.
Kulikov, Gennady Yu; Weiner, R. (2010) Doubly Quasi-Consistent Parallel Explicit Peer Methods with Built-In Global Error Estimation. Journal of Computational and Applied Mathematics: 233(9), 2351-2364.
Kulikov, Gennady Yu; Khrustaleva, E. Yu. (2010) Automatic Step Size and Order Control in One-Step Collocation Methods with Higher Derivatives. Computational Mathematics and Mathematical Physics: 50(6), 1006-1023.
Kulikov, Gennady Yu (2010) Local Theory of Extrapolation Methods. Numerical Algorithms: 53(2-3), 321-342.
Kulikov, Gennady Yu; Weiner, R. (2010) Global Error Control in Implicit Parallel Peer Methods. Russian Journal of Numerical Analysis and Mathematical Modelling: 25(2), 131-146.
Kulikov, Gennady Yu (2009) On quasi-consistent integration by Nordsieck methods. Journal of Computational and Applied Mathematics: 225, 268-287.
Kulikov, Gennady Yu; Shindin, S.K. (2009) Adaptive nested implicit Runge-Kutta formulas of Gauss type. Applied Numerical Mathematics: 59, 707-722.
Kulikov, Gennady Yu (2009) Automatic error control in the Gauss-type nested implicit Runge-Kutta formula of order 6. Russian Journal of Numerical Analysis and Mathematical Modelling: 24(2), 123-144.
Kulikov, Gennady Yu; Khrustaleva, E.Yu. (2008) Automatic step size and order control in implicit one-step extrapolation methods. Computational Mathematics and Mathematical Physics: 48(9), 1545-1569.
Kulikov, Gennady Yu; Khrustaleva, E.Yu. (2008) Automatic step size and order control in explicit one-step extrapolation methods. Computational Mathematics and Mathematical Physics: 48(8), 1313-1326.
Kulikov, Gennady Yu; Shindin, S.K. (2008)  Local and global error estimation in Nordsieck methods. Russian Journal of Numerical Analysis and Mathematical Modelling: 23(6), 567-595.
Kulikov, Gennady Yu; Merkulov, A.I.; Shindin, S.K. (2007) Asymptotic error estimate for general Newton-type methods and its application to differential equations. Russian Journal of Numerical Analysis and Mathematical Modelling: 22(6), 567-590.
Kulikov, Gennady Yu; Shindin, S.K.  (2007) Numerical tests with Gauss-type nested implicit Runge-Kutta formulas. Lecture Notes in Computer Science : 4487, 136-143.
Kulikov, Gennady Yu; Shindin, S.K.  (2006) One-leg variable-coefficient formulas for ordinary differential equations and the local-global step size control. Numerical Algorithms : 43(1), 99-121.
Kulikov, Gennady Yu; Khrustaleva, E.Yu.; Merkulov, A.I. (2006) Symmetric Runge-Kutta methods with higher derivatives and quadratic extrapolation. Lecture Notes in Computer Science: 3991, 117-123.
Kulikov, Gennady Yu; Shindin, S.K. (2006) Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon. Mathematics and Computers in Simulation: 72(1), 47-56.
Kulikov, Gennady Yu; Shindin, S.K. (2006) On a family of cheap symmetric one-step methods of order four. Lecture Notes in Computer Science : 3991, 781-785.
Kulikov, Gennady Yu; Shindin, S.K.  (2005) On stable integration of stiff ordinary differential equations with global error control. Lecture Notes in Computer Science: 3514, 42-49.
Kulikov, Gennady Yu; Shindin, S.K.  (2005) One-leg integration of ordinary differential equations with global error control. Computational Methods in Applied Mathematics: 5(1), 86-96.
Kulikov, Gennady Yu; Shindin, S.K. (2005) Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems. BIT Numerical Mathematics : 45(3), 517-542.
Kulikov, Gennady Yu (2004) One-step methods and implicit extrapolation technique for index 1 differential-algebraic systems. Russian Journal of Numerical Analysis and Mathematical Modelling: 19(6), 527-553.
Kulikov, Gennady Yu; Shindin, S.K. (2004) On multistep interpolation-type methods with automatic global error control. Computational Mathematics and Mathematical Physics: 44(8), 1314-1333.
Kulikov, Gennady Yu; Merkulov, A.I.; Khrustaleva, E.Yu. (2004) On a family of A-stable collocation methods with high derivatives. Lecture Notes in Computer Science: 3037, 73-80.
Kulikov, Gennady Yu; Shindin, S.K. (2004) INTEGRATOR: A computational tool to solve ordinary differential equations with global error control. Lecture Notes in Computer Science: 3037, 570-573.
Kulikov, Gennady Yu; Merkulov, A.I. (2004) Asymptotic error estimate of iterative Newton-type methods and its practical application. Lecture Notes in Computer Science: 3045, 667-675.
Kulikov, Gennady Yu; Shindin, S.K. (2004) On an effective computation of asymptotically correct estimates of the local and global errors for multistep methods with fixed coefficients. Computational Mathematics and Mathematical Physics : 44(5), 794-814.
Kulikov, Gennady Yu; Merkulov, A.I. (2004) On one-step collocation methods with higher derivatives for solving ordinary differential equations. Computational Mathematics and Mathematical Physics: 44(10), 1696-1720.
Kulikov, Gennady Yu (2004) An advanced version of the local-global step size control for Runge-Kutta methods applied to index 1 differential-algebraic systems. Lecture Notes in Computer Science: 3037, 565-569.
Kulikov, Gennady Yu; Shindin, S.K. (2004) On automatic global error control in multistep methods with polynomial interpolation of numerical solution. Lecture Notes in Computer Science: 3045, 345-354.
Kulikov, Gennady Yu; Shindin, S.K. (2003) Extrapolated multistep methods and local-global step size control. Lecture Notes in Computer Science: 2657, 540-549.
Kulikov, Gennady Yu (2003) On the stability of symmetric Runge-Kutta formulas. Doklady Mathematics: 67(2), 184-188.
Kulikov, Gennady Yu (2003) Symmetric Runge-Kutta methods and their stability. Russian Journal of Numerical Analysis and Mathematical Modelling: 18(1), 13-41.
Kulikov, Gennady Yu (2002) On implicit extrapolation methods for ordinary differential equations. Russian Journal of Numerical Analysis and Mathematical Modelling: 17(1), 41-69.
Kulikov, Gennady Yu (2002) On the use of Hotelling's iterations for solving differential-algebraic systems of index 1. Doklady Mathematics: 66(3), 348-352.
Kulikov, Gennady Yu (2002) On implicit extrapolation methods for systems of differential-algebraic equations. Moscow University Mathematics Bulletin: 57(5), 1-5.
Kulikov, Gennady Yu; Benderskaya, G.Ya. (2002) On implementation of vector Gauss method for solving large-scale systems of index 1 differential-algebraic equations. Lecture Notes in Computer Science: 2330, 412-421.
Kulikov, Gennady Yu; Korneva, A.A. (2001) On efficient application of implicit Runge-Kutta methods to large-scale systems of index 1differential-algebraic equations. Lecture Notes in Computer Science: 2073, 832-841.
Kulikov, Gennady Yu (2001)  On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1. Computational Mathematics and Mathematical Physics: 41(8), 1122-1131.
Kulikov, Gennady Yu (2000) A local-global version of a stepsize control for Runge-Kutta methods. Journal of Applied Mathematics and Computing: 7(2), 289-318.
Kulikov, Gennady Yu; Shindin, S.K. (2000)  A technique for controlling the global error in multistep methods. Computational Mathematics and Mathematical Physics: 40(9), 1255-1275.
Andrianova, N.A.; Kulikov, Gennady Yu (2000) On pseudodiagonally optimal Runge-Kutta simple iteration methods for systems of differential- algebraic equations of index 1. Computational Mathematics and Mathematical Physics: 40(7), 1027-1045.
Kulikov, Gennady Yu; Shindin, S.K.  (2000) On multistep extrapolation methods for ordinary differential equations. Doklady Mathematics: 61(3), 357-360.
Kulikov, Gennady Yu; Shindin, S.K. (1999) A local-global stepsize control for multistep methods applied to semi-explicit index 1 differential-algebraic equations. Journal of Applied Mathematics and Computing: 6(3), 463-492.
Kulikov, Gennady Yu (1998) Revision of the theory of symmetric one-step methods for ordinary differential equations. Journal of Applied Mathematics and Computing: 5(3), 579-600.
Kulikov, Gennady Yu (1998) Asymptotic error estimates for the method of simple iterations and for the modified and generalized Newton methods. Mathematical Notes: 63(3-4), 494-502.
Kulikov, Gennady Yu (1998) Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a nontrivial predictor. Computational Mathematics and Mathematical Physics: 38(1), 64-80.
Kulikov, Gennady Yu (1998) A method of error analysis for Runge-Kutta methods. Computational Mathematics and Mathematical Physics: 38(10), 1580-1582.
Kulikov, Gennady Yu (1997) Numerical methods solving the semi-explicit differential-algebraic equations by implicit multistep fixed stepsize methods. Journal of Applied Mathematics and Computing: 4(2), 281-318.
Kulikov, Gennady Yu (1997) On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit Runge-Kutta methods with a variable integration step. Moscow University Mathematics Bulletin: 52(5), 6-10.
Kulikov, Gennady Yu (1997) A theory of symmetric one-step methods for differential-algebraic equations. Russian Journal of Numerical Analysis and Mathematical Modelling: 12(6), 501-523.
Kulikov, Gennady Yu (1996) Convergence theorems for iterative Runge-Kutta methods with a constant integration step. Computational Mathematics and Mathematical Physics: 36(8), 1041-1054.
Kulikov, Gennady Yu (1994) The practical implementation and efficiency of the numerical methods for solving the Cauchy problem with an algebraic relation between the phase variables. Computational Mathematics and Mathematical Physics: 34(11), 1389-1401.
Kulikov, Gennady Yu (1993) The numerical solution of the autonomous Cauchy problem with an algebraic relation between the phase variables. Computational Mathematics and Mathematical Physic: 33(4), 477-492.
Kulikov, Gennady Yu (1993) The numerical solution of an autonomous Cauchy problem with an algebraic constraint on the phase variables (the nonsingular case). Moscow University Mathematics Bulletin: 48(3), 8-12.
Kulikov, Gennady Yu (1992) A method for the numerical solution of the autonomous Cauchy problem with an algebraic restriction of the phase variables. Moscow University Mathematics Bulletin: 47(1), 14-18.

Livros

Semoushin, I.V.; Kulikov, Gennady Yu (2000) Computational Linear Algebra: Collected Assignments for Laboratory Case Studies, Tests and Examinations. Ulyanovsk State Technical University, Ulyanovsk: ISBN 5-89146-139-0, 119 p. (In Russian).
Shakin, V.V.; Komissarov, K.V.; Kulikov, Gennady Yu; Tsitovtsev, V.E.; Shapoval, A.V.; Schirov, A.V.; Goloveschenkov, O.V.; Panfilov, A.V.; Strizhov, V.V.; Przhialkovsky, V.V. (1996) Biosystems under extreme conditions. Computing Center, Russian Academy of Sciences, Moscow: ISBN 5-201-09728-6, 84 p. (In Russian).

Comunicações em Actas de Conferência

Kulikov, Gennady Yu; Kulikova, Maria (2017) Do the contemporary cubature and unscented Kalman filtering methods outperform always the traditional extended Kalman filter?. Proceedings of the IFAC 2017 World Congress, Toulouse, France, 3813-3818.
Kulikov, Gennady Yu; Kulikova, Maria (2016) Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering.  Proceedings of European Control Conference, Aalborg, Denmark, 1728-1733.
Kulikova, Maria; Kulikov, Gennady Yu (2016) On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models. Proceedings of European Control Conference, Aalborg, Denmark, 1129-1134.
Kulikova, Maria; Kulikov, Gennady Yu (2015) A mixed-type accurate continuous-discrete extended-unscented Kalman filter for target tracking. Proceedings of the 2015 European Control Conference (ECC 2015), Linz, Austria, 2824–2829.
Kulikov, Gennady Yu; Kulikova, Maria (2015) State estimation in chemical systems with infrequent measurements. Proceedings of the 2015 European Control Conference (ECC 2015), Linz, Austria, 2688–2693.
Kulikov, Gennady Yu; Kulikova, Maria (2014) Accurate state estimation in the Van der Vusse reaction. Proceedings of the IEEE 2014 Multi-Conference on Systems and Control, Antibes, France, 8-10 October, 759-764.
Kulikova, Maria; Kulikov, Gennady Yu (2013) Square-root accurate continuous-discrete extended Kalman filter for target tracking. Proceedings of the 52-nd IEEE Conference on Decision and Control, IEEE-CDC 2013, Florence, Italy, 7785-7790.
Kulikov, Gennady Yu (2003) Theory of implicit extrapolation methods for ordinary differential equations. Proceedings of the Numerical Mathematics and Advanced Applications (ENUMATH 2001) conference. Springer-Verlag Italia, Milano: ISBN 88-470-0180-3, 909-918.
Kulikov, Gennady Yu; Shindin, S.K. (2002) An advanced version of local-global step size control for multistep methods. Proceedings of the International Conference on Computational Mathematics (ICCM 2002): Part II. ICMMG Publisher, Novosibirsk, Russia: ISBN 5-901548-10-8, 567-573.
Kulikov, Gennady Yu; Benderskaya, G.Ya. (2002) Effective numerical solution of large-scale index 1 differential-algebraic systems. Proceedings of the International Conference on Computational Mathematics (ICCM 2002): ICMMG Publisher, Novosibirsk, Russia: ISBN 5-901548-10-8, 561-566.
Kulikov, Gennady Yu; Shindin, S.K. (2000) An advanced local-global stepsize control for multistep methods. Proceedings of the 3rd European Conference. World Scientific, Singapore: ISBN 981-02-4381-1, 593 - 600.

Teses

Kulikov, Gennady Yu (2002) Numerical methods with global error control for solving differential and differential-algebraic equations of index 1. Dissertation of Doctor of Sciences in Physics and Mathematics. Ulyanovsk State University, Ulyanovsk, 315 p. (In Russian).
Kulikov, Gennady Yu (1994) The numerical solution of the Cauchy problem with algebraic constraints on the phase variables (with applications in medical cybernetics). Dissertation of Candidate of Sciences in Physics and Mathematics. Computing Center, Russian Academy of Sciences, Moscow, 197 p. (In Russian) .

Artigos em Revistas Científicas Nacionais

Kulikova, Maria; Kulikov, Gennady Yu (2016) Numerical methods for nonlinear filtering of signals and measurements. Computational Technologies: 21(4), 64-98.
Kulikov, Gennady Yu; Korneva, A.A.; Benderskaya, G.Ya. (2001) On numerical solution of large-scale systems of index 1 differential-algebraic equations. Fundamental and Applied Mathematics: 7(4), 1047-1080 (In Russian).
Kulikov, Gennady Yu (2000) On symmetry of some Runge-Kutta methods. Fundamental and Applied Mathematics: 6(4), 1131-1140 (In Russian).

Outro Informação

Projectos (coordenador)

  • FCT - IF/00703/2013 (Portugal), 2014-2018, Accurate State Estimation of Stochastic Dynamic Systems with Applications in Engineering, Chemistry and Finance
  • FCT - Ciência 2008 (Portugal), 2009-2013, Global Error estimation and control in numerical methods for differential equations with applications.
  • NSR - FA2004033000016 (South Africa), 2005-2006,  Nordsieck methods and General Linear ones for solving Ordinary Differential Equations and index 1 Differential-Algebraic Systems
  • RFBR - 01-01-00066 (Russian Federation), 2001-2003, Numerical methods for solving Ordinary Differential Equations and index 1 Differential-Algebraic Systems with Global Error Control.
  • RFBR - 98-01-00006 (Russian Federation), 1998-2000, Numerical methods with global error control for differential and differential-algebraic equations.
  • RAS (Russian Federation), 1997-2000, State Scientific Stipend for young mathematicians from Russian Academy of Sciences
  • No. 230 (Russian Federation) - Programme: 'Universities of Russia - Basic Research' by Ministry of Education and Science of the Russian Federation, 1998-1999. 
  • MSU (Russian Federation), 1997, A theory of symmetric one-step methods for differential-algebraic equations
  • Research Grant for Russian scientists.  Jan.1996 - Jul.1996, Danish Rectors' Conference, Denmark
  • MSU (Russian Federation), 1995, Numerical methods for solving the Cauchy problem.

Cargos (eleição)

  • Assistant Professor, Ulyanovsk branch of Moscow State University (Russia), 1993-1995
  • Senior Lecturer, Ulyanovsk branch of Moscow State University (Russia), 1995-1996
  • Associate Professor, Ulyanovsk State University (Russia), 1996-2003
  • Head of Laboratory for Mathematical Modelling, Ulyanovsk State University (Russia), 1995-2001
  • Senior Lecturer, University of the Witwatersrand (Johannesburg, South Africa), 2004-2007
  • Reader, University of the Witwatersrand (Johannesburg, South Africa), 2007-2009
  • Investigador Auxiliar (Ciência 2008), IST-UTL, 2009-2013
  • Investigador Principal (FCT Investigador 2013), IST-UTL, since 2014

Outras Atividades Acadêmicas

Outro Informação

  • Citações: Google ScholarResearcherID; Scopus; Orcid
  • AMS classificação: (interesses primários) 65L05,   65L06, 65L2065L50, 65L7065L80; (interesses secundários) 34B1665C60, 93E11.
  • Áreas de Interesse Científico (atual) focus mainly on the theory of numerical methods for differential and differential-algebraic equations with special emphasis to global error estimation and control techniques. They also include application of adaptive ODE solvers with global error control to fluid mechanics and nonlinear Kalman filtering.

Orientação de Pós-doutoral

  • Dr. Shindin S.K. (University of the Witwatersrand), 2004-2006.

Orientação de Teses de Doutoramento

  • Khrustaleva E.Yu. (Ulyanovsk State University), 2011
  • Merkulov A.I. (Ulyanovsk State University), 2005
  • Shindin S.K. (Ulyanovsk State University), 2002.

Orientação de Teses de Mestrado

  • Ramanantoanina A. (University of the Witwatersrand), 2007.
  • Kuvaldina A.A. (Ulyanovsk State University), 2002.
  • Nazarova A.V.  (Ulyanovsk State University), 2000.
  • Shabalkina E.Yu. (Ulyanovsk State University), 2000
  • Andrianova N.A. (Ulyanovsk State University), 1999.
  • Kagirov R.A. (Ulyanovsk State University), 1999.
  • Merkulov A.I. (Ulyanovsk State University), 1999
  • Benderskaya G.Y. (Ulyanovsk State University), 1998.
  • Ilyukhin K.A. (Ulyanovsk State University), 1998.
  • Konoplyanov A.V. (Ulyanovsk State University), 1998.
  • Korneva A.A.  (Ulyanovsk State University), 1998.
  • Koshkin I.V. (Ulyanovsk State University), 1998.
  • Shindin S.K. A.  (Ulyanovsk State University), 1998.
  • Tchernov A.A.  (Ulyanovsk State University), 1998.