Papers in International Journals

• Sellountos, Euripides (2020) A single domain velocity - vorticity Fast Multipole Boundary Domain Element Method for three dimensional incompressible fluid flow problems, part II Engineering Analysis with Boundary Elements: vol 114, pages 74-93, https://doi.org/10.1016/j.enga.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2020) Analytical and numerical studies for slip flows of a generalised Phan-Thien-Tanner fluid Z Angew Math Mech., e201900183.

• Kulikov, Gennady Yu; Kulikova, Maria (2020) Hyperbolic-singular-value-decomposition-based square-root accurate continuous-discrete extended-unscented Kalman filters for estimating continuous-time stochastic models with discrete measurements International Journal of Robust and Nonlinear Control: 30(5), 2033-2058.

• Nemati, S.; Lima, Pedro M.; Sedaghat,S (2020) Legendre wavelet collocation method combined with the Gauss–Jacobi quadrature for solving fractional delay-type integro-differential equations Applied Numerical Mathematics: 149, 99-112.

• Morgado, M. Luísa; Luís F. Morgado (2020) Modeling transient currents in time-of- flight experiments with tempered time-fractional diffusion equations Progr. Fract. Differ. Appl.: 6 (1), 43-53.

• Kulikov, Gennady Yu (2020) Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations Computational Mathematics and Mathematical Physics: 60(7), 1134-1154..

• Kulikov, Gennady Yu; Kulikova, Maria (2020) NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements Applied Numerical Mathematics: 147, 196-221.

• Silvestre, Ana Leonor (2020) On the Oseen fundamental solution and asymptotic profile of exterior flows J. Math. Fluid Mech.: 22, 1-19.

• Hishida, Toshiaki; Silvestre, Ana Leonor; Takahashi, Takéo (2020) Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid ESAIM Control Optim. Calc. Var.: 26, 92.

• Alves, Carlos J. S.; Antunes, Pedro R. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2020) Solving boundary value problems on manifolds with a plane waves method Applied Mathematics Letters: 107, 106426.

• Kulikov, Gennady Yu; Kulikova, Maria (2020) Square-root accurate continuous-discrete extended-unscented Kalman filtering methods with embedded orthogonal and J-orthogonal QR decompositions for estimation of nonlinear continuous-time stochastic models in radar tracking Signal Processing: 166: 107253.

• Kulikov, Gennady Yu; Kulikova, Maria (2020) The J-orthogonal square-root Euler-Maruyama-based unscented Kalman filter for nonlinear stochastic systems IFAC-PapersOnLine: 53(2), 2361-2366.

• Kulikov, Gennady Yu; Kulikova, Maria (2020) The J-orthogonal square-root fifth-degree cubature Kalman filtering method for nonlinear stochastic systems IFAC-PapersOnLine: 53(2), 4961-4966.

• Diogo, Teresa; Pedas, Arvet; Vainikko, Gennadi (2020) Third kind integral equations in L^p spaces J. Integral Equations Applications: 32, 417-427.

• Kulikov, Gennady Yu; Weiner, R. (2020) Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations Applied Numerical Mathematics: 154, 223-242.

• Alves, Carlos J. S.; Antunes, Pedro R. S. (2019)  Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions Engineering Analysis and Boundary Elements: 101, 330-342.

• Faria, Ricardo; Oliveira, Sérgio; Silvestre, Ana Leonor (2019) A fluid-structure interaction model for dam-water systems: analytical study and application to seismic behavior Advances in Mathematical Physics: Volume 2019, Article ID 8083906, 14 pages.

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; Gareth Mckinley; A. M. Afonso (2019) A generalised Phan-Thien-Tanner model Journal of Non-Newtonian Fluid Mechanics: 269, 88-99.

• Nemati, S.; Lima, Pedro M.; Torres, Delfim (2019) A numerical approach for solving fractional optimal control problems using modified hat functios Communications in Nonlinear Science and Numerical Simulations: 78, 104849.

• Xi, Qiang; Fu, Zhuojia; Alves, Carlos J. S.; Ji, Hongli (2019) A semi-analytical boundary collocation solver for the inverse Cauchy problems in heat conduction under 3D FGMs with heat source Numerical Heat Transfer, Part B: Fundamentals: 76(5), 311-327.

• Sellountos, Euripides (2019) A single domain velocity - vorticity Fast Multipole Boundary Domain Element Method for two dimensional incompressible fluid flow problems. Engineering Analysis with Boundary Elements: 106, 359-370.

• Rahimkani,P.; Ordokhani, Y; Lima, Pedro M. (2019) An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets Applied Numerical Mathematics: 145, 1-27.

• Almeida, Ricardo; Morgado, M. Luísa (2019) Analysis and numerical approximation of tempered fractional calculus of variations problems Journal of Computational and Applied Mathematics: 361, 1-12.

• Sellountos, Euripides; Sequeira, Adélia; Tiago, Jorge (2019) Meshless velocity - vorticity Local Boundary Integral Equation (LBIE) method for two dimensional incompressible Navier-Stokes equations. International Journal of Numerical Methods for Heat and Fluid Flow: Vol 29, is 11, pages 4034-4073.

• Kulikov, Gennady Yu; Kulikova, Maria (2019) Numerical robustness of extended Kalman filtering based state estimation in ill-conditioned continuous-discrete nonlinear stochastic chemical systems International Journal of Robust and Nonlinear Control: 29(5), 1377-1395.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2019) Semi-analytical solutions for the Poiseuille-Couette flow of a generalised Phan-Thien-Tanner fluid Fluids: 4 (3) 129, 1-11.

• Valtchev, Svilen S.  (2018) A meshfree method with plane waves for elastic wave propagation problems Engineering Analysis with Boundary Elements: 92, 64-72.

• Lima, Pedro M.; S. Sedaghat; S. Nemati (2018) An effective numerical method for solving fractional pantograph differential equations using modification of hat functions,  Applied Numerical Mathematics: 131, 174-189.

• Kulikov, Gennady Yu; Weiner, R. (2018) Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods Journal of Computational and Applied Mathematics: 340, 256-275.

• Selvarangam, S.; Madhan, M.; Thandapani, E. ; Pinelas, Sandra (2018) Improved Oscillation Theorems For Third Order Neutral Type Difference Equations Electronic Journal of Differential Equations, (in press).

• Kulikov, Gennady Yu; Kulikova, Maria (2018) Moore-Penrose-pseudo-inverse-based Kalman-like filtering methods for estimation of stiff continuous-discrete stochastic systems with ill-conditioned measurements IET Control Theory & Applications: 12(16), 2205-2212.

• Moghaddam, B. P. ; Tenreiro Machado, J. ; Morgado, M. Luísa (2018) Numerical approach for a class of distributed order time fractional partial differential equations Applied Numerical Mathematics: 136, 152-162.

• Lima, Pedro M.; Bulatov, M.V.; Bellours, A. (2018) Numerical solution of integro-differential equations arising from singular boundary value problems Applied Mathematics and Computation: 336, 1-15.

• Lima, Pedro M.; S. Nemati (2018) Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions Applied Mathematics and Computation: 327, 79-92.

• Alves, Carlos J. S.; Valtchev, Svilen S.  (2018) On the application of the method of fundamental solutions to boundary value problems with jump discontinuities Applied Mathematics and Computation: 320, 61–74.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2018) On the application of the method of fundamental solutions to nonlinear partial differential equations Engineering Analysis with Boundary Elements: 92, 267-274.

• Kulikov, Gennady Yu; Kulikova, Maria (2018) Practical implementation of extended Kalman filtering in chemical systems with sparse measurements Russian Journal of Numerical Analysis and Mathematical Modelling: 33(1), 41-53.

• Kulikov, Gennady Yu; Kulikova, Maria (2018) Stability analysis of extended, cubature and unscented Kalman filters for estimating stiff continuous-discrete stochastic systems Automatica: 90, 91-97.

• Ramdoss, M. ; Pinelas, Sandra; Raj, A. Antony  (2018) Stability of Nonic Functional Equations in Multi-Banach Spaces Global Journal of Mathematics, (in press).

• Ramdoss, M. ; Pinelas, Sandra; Veeramani, V.  (2018) Stability of Tridecic Functional Equation in Matrix Normed Spaces Journal of Advances in Mathematics, (in press).

• Almeida, Ricardo; Morgado, M. Luísa (2018) The Euler-Lagrange and Legendre equations for functionals involving distributed-order fractional derivatives Applied Mathematics and Computation: 331, 394-403.

• Alves, Carlos J. S.; Antunes, Pedro R. S. (2018) The method of fundamental solutions applied to boundary value problems on the surface of a sphere Computers and Mathematics with Applications: 75 (7), 2365-2373.

• Ferrás, L. L.; Ford, Neville J. ; Morgado, M. Luísa; Rebelo, Magda; McKinley, Gareth H. ; Nóbrega,João M.  (2018) Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries Computers & Fluids: 174, 14-33.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2018) Trefftz methods with cracklets and their relation to BEM and MFS Engineering Analysis and Boundary Elements: 95, 93-104.

• Hishida, T. ; Silvestre, Ana Leonor; Takahashi, T.  (2017) A boundary control problem for the steady self- propelled motion of a rigid body in a Navier-Stokes fluid Annales de l’Institut Henri Poincare (C) Non Linear Analysis: 34 (6), 1507-1541.

• Lima, Pedro M.; Morgado, M. Luísa; Schöbinger, M. ; Weinmüller, E.B. (2017) A Novel computational approach to singular free boundary problems in ordinary differential equations Applied Numerical Mathematics: 114, 97-107.

• 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.

• 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) 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: 142, 62-81.