New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions. - Pedro R. S. Antunes; Pedro Freitas (Exp. Math., 2006)

A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks. - Pedro R. S. Antunes; Svilen S. Valtchev (J. Comput. Appl. Math., 2010)

Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians. - Pedro R. S. Antunes; Pedro Freitas (J. Optim. Theory Appl., 2012)

Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues. - Pedro R. S. Antunes (Appl. Math. Comput., 2013)

The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems. - Carlos J. S. Alves; Pedro R. S. Antunes (SIAM J. Sci. Comput., 2013)

Optimal Bilaplacian Eigenvalues. - Pedro R. S. Antunes (SIAM J. Control. Optim., 2014)

An Augmented-RBF Method for Solving Fractional Sturm-Liouville Eigenvalue Problems. - Pedro R. S. Antunes; Rui A. C. Ferreira (SIAM J. Sci. Comput., 2015)

Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives. - Pedro R. S. Antunes; Rui A. C. Ferreira (Commun. Nonlinear Sci. Numer. Simul., 2017)

Is it possible to tune a drum? - Pedro R. S. Antunes (J. Comput. Phys., 2017)

Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes. - Pedro R. S. Antunes; Cristian Barbarosie; Anca-Maria Toader (J. Comput. Phys., 2017)

Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries. - Pedro R. S. Antunes; Édouard Oudet (SIAM J. Sci. Comput., 2017)

Reducing the ill conditioning in the method of fundamental solutions. - Pedro R. S. Antunes (Adv. Comput. Math., 2018)

The method of fundamental solutions applied to boundary value problems on the surface of a sphere. - Carlos J. S. Alves; Pedro R. S. Antunes (Comput. Math. Appl., 2018)

A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation. - Pedro R. S. Antunes (Numer. Algorithms, 2018)

On the Behavior of Clamped Plates under Large Compression. - Pedro R. S. Antunes; Davide Buoso; Pedro Freitas (SIAM J. Appl. Math., 2019)

Solving boundary value problems on manifolds with a plane waves method. - Carlos J. S. Alves; Pedro R. S. Antunes; Nuno F. M. Martins; Svilen S. Valtchev (Appl. Math. Lett., 2020)

Numerical calculation of extremal Steklov eigenvalues in 3D and 4D. - Pedro R. S. Antunes (Comput. Math. Appl., 2021)

A well conditioned Method of Fundamental Solutions. - Pedro R. S. Antunes (CoRR, 2021)

Parametric shape optimization using the support function. - Pedro R. S. Antunes; Beniamin Bogosel (Comput. Optim. Appl., 2022)

Correction to: Parametric shape optimization using the support function. - Pedro R. S. Antunes; Beniamin Bogosel (Comput. Optim. Appl., 2022)

A well-conditioned method of fundamental solutions for Laplace equation. - Pedro R. S. Antunes (Numer. Algorithms, 2022)

Improving the conditioning of the Method of Fundamental Solutions for the Helmholtz equation on domains in polar or elliptic coordinates. - Pedro R. S. Antunes; Hernani Calunga; Pedro Serranho (Appl. Math. Comput., 2024)

Wave scattering problems in exterior domains with the method of fundamental solutions. - Carlos J. S. Alves; Pedro R. S. Antunes (Numerische Mathematik, 2024)

The MFS-SVD Method for the Laplace Equation in Three Dimensions. - Pedro R. S. Antunes; Vinicius Santos; Pedro Serranho (SIAM J. Sci. Comput., 2025)