3. High-Order Boundary Perturbation Methods. - Oscar P. Bruno; Fernando Reitich (Mathematical Modeling in Optical Science, 2001)

Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media. - Oscar P. Bruno; E. McKay Hyde (SIAM J. Numer. Anal., 2005)

Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis. - Oscar P. Bruno; Youngae Han; Matthew M. Pohlman (J. Comput. Phys., 2007)

Time Stepping Via One-Dimensional Padé Approximation. - David E. Amundsen; Oscar P. Bruno (J. Sci. Comput., 2007)

Regularity Theory and Superalgebraic Solvers for Wire Antenna Problems. - Oscar P. Bruno; Michael C. Haslam (SIAM J. Sci. Comput., 2007)

A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains. - Oscar P. Bruno; Jeffrey S. Ovall; Catalin Turc (Computing, 2009)

Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations. - Oscar P. Bruno; Tim Elling; Randy C. Paffenroth; Catalin Turc (J. Comput. Phys., 2009)

High-order unconditionally stable FC-AD solvers for general smooth domains I. Basic elements. - Oscar P. Bruno; Mark Lyon (J. Comput. Phys., 2010)

High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations. - Mark Lyon; Oscar P. Bruno (J. Comput. Phys., 2010)

A spectral FC solver for the compressible Navier-Stokes equations in general domains I: Explicit time-stepping. - Nathan Albin; Oscar P. Bruno (J. Comput. Phys., 2011)

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. - Khosro Shahbazi; Nathan Albin; Oscar P. Bruno; Jan S. Hesthaven (J. Comput. Phys., 2011)

A high-order integral solver for scalar problems of diffraction by screens and apertures in three-dimensional space. - Oscar P. Bruno; Stéphane K. Lintner (J. Comput. Phys., 2013)

Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems. - Oscar P. Bruno; Víctor Domínguez; Francisco-Javier Sayas (Numerische Mathematik, 2013)

Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum - including Wood anomalies. - Oscar P. Bruno; Bérangère Delourme (J. Comput. Phys., 2014)

Spatially Dispersionless, Unconditionally Stable FC-AD Solvers for Variable-Coefficient PDEs. - Oscar P. Bruno; Andrés Prieto (J. Sci. Comput., 2014)

A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem. - Eldar Akhmetgaliyev; Oscar P. Bruno; Nilima Nigam (J. Comput. Phys., 2015)

An FC-based spectral solver for elastodynamic problems in general three-dimensional domains. - Faisal Amlani; Oscar P. Bruno (J. Comput. Phys., 2016)

Higher-order in time "quasi-unconditionally stable" ADI solvers for the compressible Navier-Stokes equations in 2D and 3D curvilinear domains. - Oscar P. Bruno; Max Cubillos (J. Comput. Phys., 2016)

Windowed Green Function Method for Layered-Media Scattering. - Oscar P. Bruno; Mark Lyon; Carlos Pérez-Arancibia; Catalin Turc (SIAM J. Appl. Math., 2016)

On the Quasi-unconditional Stability of BDF-ADI Solvers for the Compressible Navier-Stokes Equations and Related Linear Problems. - Oscar P. Bruno; Max Cubillos (SIAM J. Numer. Anal., 2017)

Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. - Gabriel Acosta; Juan Pablo Borthagaray; Oscar P. Bruno; Martin Maas 002 (Math. Comput., 2018)

Fast, higher-order direct/iterative hybrid solver for scattering by Inhomogeneous media - with application to high-frequency and discontinuous refractivity problems. - Oscar P. Bruno; Ambuj Pandey (CoRR, 2019)

Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers. - Oscar P. Bruno; Max Cubillos; Edwin Jimenez (J. Comput. Phys., 2019)

Shifted equivalent sources and FFT acceleration for periodic scattering problems, including Wood anomalies. - Oscar P. Bruno; Martin Maas 002 (J. Comput. Phys., 2019)

Fourier continuation method for incompressible fluids with boundaries. - Mauro Fontana; Oscar P. Bruno; Pablo D. Mininni; Pablo Dmitruk (Comput. Phys. Commun., 2020)

On the evaluation of quasi-periodic Green functions and wave-scattering at and around Rayleigh-Wood anomalies. - Oscar P. Bruno; Agustin G. Fernandez-Lado (J. Comput. Phys., 2020)

A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches. - Oscar P. Bruno; Emmanuel Garza (J. Comput. Phys., 2020)

Regularized integral equation methods for elastic scattering problems in three dimensions. - Oscar P. Bruno; Tao Yin (J. Comput. Phys., 2020)

Wave Enhancement Through Optimization of Boundary Conditions. - Habib Ammari; Oscar P. Bruno; Kthim Imeri; Nilima Nigam (SIAM J. Sci. Comput., 2020)

High-order, Dispersionless "Fast-Hybrid" Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering. - Thomas G. Anderson; Oscar P. Bruno; Mark Lyon (SIAM J. Sci. Comput., 2020)

A boundary integral method for 3D nonuniform dielectric waveguide problems via the windowed Green function. - Emmanuel Garza; Constantine Sideris; Oscar P. Bruno (CoRR, 2021)

IFGF-accelerated integral equation solvers for acoustic scattering. - Edwin Jimenez; Christoph Bauinger; Oscar P. Bruno (CoRR, 2021)

"Interpolated Factored Green Function" method for accelerated solution of scattering problems. - Christoph Bauinger; Oscar P. Bruno (J. Comput. Phys., 2021)

Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators. - Haydn Maust; Zongyi Li; Yixuan Wang; Daniel V. Leibovici; Oscar P. Bruno; Thomas Y. Hou 001; Anima Anandkumar (CoRR, 2022)

Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions. - Mauro Fontana; Pablo D. Mininni; Oscar P. Bruno; Pablo Dmitruk (Comput. Phys. Commun., 2022)

FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment. - Oscar P. Bruno; Jan S. Hesthaven; Daniel V. Leibovici (J. Comput. Phys. X, 2022)

Two-Dimensional Fourier Continuation and Applications. - Oscar P. Bruno; Jagabandhu Paul (SIAM J. Sci. Comput., 2022)

Massively parallelized interpolated factored Green function method. - Christoph Bauinger; Oscar P. Bruno (J. Comput. Phys., 2023)

Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains. - Oscar P. Bruno; Tao Yin (Math. Comput., 2023)

Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. - Oscar P. Bruno; Manuel A. Santana; Lloyd N. Trefethen (CoRR, 2024)

Can Efficient Fourier-Transform Techniques Favorably Impact on Broadband Computational Electromagnetism? - Thomas G. Anderson; Mark Lyon; Tao Yin; Oscar P. Bruno (CoRR, 2024)

Direct/Iterative Hybrid Solver for Scattering by Inhomogeneous Media. - Oscar P. Bruno; Ambuj Pandey (SIAM J. Sci. Comput., 2024)

High order-accurate solution of scattering integral equations with unbounded solutions at corners. - Constantine Sideris; Davit Aslanyan; Oscar P. Bruno (J. Comput. Phys., 2025)

Efficient time-domain scattering synthesis via frequency-domain singularity subtraction. - Oscar P. Bruno; Manuel A. Santana (CoRR, 2025)

General-domain FC-based shock-dynamics solver I: Basic elements. - Oscar P. Bruno; Daniel V. Leibovici (CoRR, 2025)

General-domain FC-based shock-dynamics solver II: Non-smooth domains, accuracy and parallel performance. - Daniel V. Leibovici; Oscar P. Bruno (CoRR, 2025)

Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems. - Shuai Pan; Gang Bao 001; Tao Yin; Oscar P. Bruno (CoRR, 2025)