Papers in International Journals

• Acebron, Juan; Rodriguez-Rozas, A. (2011) A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees Journal of Computational Physics: 230(21), 7891-7909.

• Ferreira, J. M.; Ford, N. J.; Malique, Md. A.; Pinelas, Sandra; Yan, Y. (2011) Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances Journal of Computational and Applied Mathematics: 235(17), 5112-5130.

• Hai, N. N.; An, P. T.  (2011) Blaschke-Type Theorem and Separation of Disjoint Closed Geodesic Convex Sets Journal of Optimization Theory and Applications: 151(3), 541-551.

• Agarwal, R.P.; Benchohra, M.; Hamani, S.; Pinelas, Sandra (2011) Boundary Value Problems for Differential Equations Involving Riemann-Liouville Fractional Derivative on the Half-Line DCDIS: Dynamics of Continuous, Discrete and Impulsive Systems: 18(2), 235-244.

• Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2011) Comparison and oscillatory behavior for certain second order nonlinear dynamic equations Journal of Applied Mathematics and Computing: 35(1-2), 525-536.

• Ford, Neville J.; Morgado, M. Luísa (2011) Fractional Boundary Value Problems: Analysis and Numerical Methods Fractional Calculus and Applied Analysis: 14(4), 554-567.

• 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.

• Phu, H.X.; Pho, V.M.; An, P. T.  (2011) Maximizing strictly convex quadratic functions with bounded perturbation Journal of Optimization Theory and Applications: 149(1), 1-25.

• Antunes, Pedro R. S. (2011) Numerical calculation of eigensolutions of 3D shapes using the Method of Fundamental Solutions Numerical Methods for Partial Differential Equations: 27, 1525-1550.

• Babolian, E.; Bazm, S.; Lima, Pedro M. (2011) Numerical Solution of Nonlinear Two-Dimensional Integral Equations Using Rationalized Haar Functions Communications in Nonlinear Science and Numerical Simulation: 16(3), 1164-1175.

• Antunes, Pedro R. S. (2011) On the buckling eigenvalue problem Journal of Physics A: Mathematical and Theoretical: 44, 215-205.

• 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.

• Antunes, Pedro R. S.; Freitas, Pedro (2011) On the inverse spectral problem for Euclidean triangles Proceedings of the Royal Society A: 467, 1546-1562.

• Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2011) On the Oscillation of Fourth Order Superlinear Dynamic Equations on Time Scales Dynamic Systems and Applications: 20, 45-54.

• Antunes, Pedro R. S.; Henrot, Antoine (2011) On the range of the first two Dirichlet and nontrivial Neumann eigenvalues of the Laplacian Proceedings of the Royal Society A: 467, 1577-1603.

• Grace, S. R.; Agarwal, R. P.; Pinelas, Sandra (2011) Oscillation Criteria for a Certain Fourth Order Sublinear Dynamic Equations on Time Scales Annals of Differential Equations: 3, 361-366.

• Thandapani, E.; Piramanantham, V.; Pinelas, Sandra (2011) Oscillation criteria for second order neutral delay dynamic equations with mixed nonlinearities Advances in Difference Equations: 2011, 513757.

• Grace, S.R.; Agarwal, R.P.; Bohner, M.; Pinelas, Sandra (2011) Oscillation of Some Fourth-Order Difference Equations International Journal of Difference Equations: 6(2), 105-112.

• Kulikov, Gennady Yu (2011) Proportional Extrapolation and Symmetric One-Step Methods Russian Journal of Numerical Analysis and Mathematical Modelling: 26(1), 49-73.

• Nazarov, Sergey A.; Videman, J. H. (2011) Trapping of Water Waves by Freely Floating Structures in a Channel Proceedings of the Royal Society A-Mathematical Physical and Engineering: 467(2136), 3613-3632.

• Bulatov, M.V. ; Lima, Pedro M. (2011) Two-dimensional integral-algebraic systems: analysis and computational methods Journal of Computational and Applied Mathematics: 236(12), 132-140.

• Agarwal, R.P.; Benchohra, M.; Hamani, S.; Pinelas, Sandra (2011) Upper and Lower Solutions Method for Impulsive Differential Equations Involving the Caputo Fractional Derivative Memoirs on Differential Equations and Mathematical Physics: 53, 1-12.

• Rebelo, Magda; Diogo, Teresa (2010) A Hybrid Collocation Method for a Nonlinear Volterra Integral Equation with Weakly Singular Kernel Journal of Computational and Applied Mathematics: 234(9), 2859-2869.

• Antunes, Pedro R. S.; Valtchev, Svilen S.  (2010) A Meshfree Numerical Method for Acoustic Wave Propagation Problems in Planar Domains with Corners and Cracks Journal of Computational and Applied Mathematics: 234(9), 2646-2662.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Analytical and Numerical Investigation of Mixed-Type Functional Differential Equations Journal of Computational and Applied Mathematics: 234(9), 2826-2837.

• Kindelan, M.; Bernal, Francisco; González-Rodríguez, P.; Moscoso, M. (2010) Application of the RBF meshless method to the solution of the radiative transport equation Journal of Computational Physics: 229(5), 1897–1908.

• Grace, S. R.; Pinelas, Sandra (2010) Asymptotic Behavior of Solutions of Certain Nonlinear Differential and Integro-differential Equations Proc. Jangjeon Math. Soc.: 13, 133-148.

• 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.

• Agarwal, R. P.; O’Regan, D.; Pinelas, Sandra (2010) Bounds for Analytic Solutions to Integral Equations in the Complex Domain Applied Mathematics Letters: 23(8), 847-851.

• 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.

• Acebron, Juan; Rodriguez-Rozas, A.; Spigler, R. (2010) Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition Journal of Scientific Computing: 43(2), 135-157.

• Bernal, Francisco; Backofen, R.; Voigt, A. (2010) Elastic interactions in phase-field crystal models: numerics and postprocessing  International Journal of Materials Research: 101(4), 467-472.

• Nazarov, Sergey A.; Videman, J. H. (2010) Existence of Edge Waves Along Three-Dimensional Periodic Structures Journal of Fluid Mechanics: 659, 225-246.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Finite Difference Solution of a Singular Boundary Value Problem for the P-Laplace Operator Numerical Algorithms: 55(2-3), 337-348.

• Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Finite Element Solution of a Linear Mixed-Type Functional Differential Equation Numerical Algorithms: 55(2-3), 301-320.

• 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.

• Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro (2010) Huygens' Principle and Iterative Methods in Inverse Obstacle Scattering Advances in Computational Mathematics: 33(4), 413-429.

• Kulikov, Gennady Yu (2010) Local Theory of Extrapolation Methods Numerical Algorithms: 53(2-3), 321-342.

• An, P. T.  (2010) Method of orienting curves for determining the convex hull of a finite set of points in the plane Optimization: A Journal of Mathematical Programming and Operations Research: 59(2), 175-179.

• Lima, Pedro M.; Morgado, M. Luísa (2010) Numerical Modelling of Oxygen Diffusion in Cells with Michaelis-Menten Uptake Kinetics Journal of Mathematical Chemistry: 48(1), 145-158.

• Morgado, M. Luísa; Lima, Pedro M. (2010) Numerical Solution of a Class of Singular Free Boundary Problems Involving the M-Laplace Operator Journal of Computational and Applied Mathematics: 234(9), 2838-2847.

• Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra (2010) On the oscillatory and asymptotic behavior of certain fourth order difference equations Functional Differential Equations: 17(1-2), 105-112.

• Acebron, Juan; Rodriguez-Rozas, A. (2010) On the performance of a new parallel numerical algorithm for large-scale simulations of nonlinear partial differential equations Lecture Notes in Computer Science: 6067, 41-50.

• Grace, S. R.; Agarwal, R. P.; Pinelas, Sandra (2010) Oscillation Criteria for Certain Fourth Order Nonlinear Difference Equations Communications in Applied Analysis: 14(4), 337-342.

• Thandapani, E.; Murugadass, S.; Pinelas, Sandra (2010) Oscillation Criteria for Forced Second Order Mixed Type Quasilinear Delay Differential Equations Electronic Journal of Differential Equations: 73, 1-9.

• Thandapani, E.; Murugadass, S.; Pinelas, Sandra (2010) Oscillations criteria for second order nonlinear differential equations with damping and mixed nonlinearities Functional Differential Equations: 17(3-4), 1-10.

• Ferreira, J. M. ; Pinelas, Sandra (2010) Oscillatory generalized Lucas sequences International Journal of Differential Equations: 2010, 1-15.

• Ferreira, J. M. ; Pinelas, Sandra (2010) Oscillatory mixed differential systems Funkcialaj Ekvacioj: 53, 1-20.

• Duran Diaz, R.; Rico, R.; Garcia-Castillo, L. E.; Gomez-Revuelto, I.; Acebron, Juan; Martinez-Fernandez, I. (2010) Parallelizing a Hybrid Finite Element-Boundary Integral Method for the Analysis of Scattering and Radiation of Electromagnetic Waves Finite Elements in Analysis and Design: 46(8), 645-657.

• Bernal, Francisco; Kindelan, Manuel (2010) Radial Basis Function ( RBF) solution of the Motz problem. Engineering Computations: 27(5), 606-620.