Efficient discretization of Laplace boundary integral equations on polygonal domains. - James Bremer; Vladimir Rokhlin (J. Comput. Phys., 2010)

Universal quadratures for boundary integral equations on two-dimensional domains with corners. - James Bremer; Vladimir Rokhlin; Ian Sammis (J. Comput. Phys., 2010)

A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures. - James Bremer; Zydrunas Gimbutas; Vladimir Rokhlin (SIAM J. Sci. Comput., 2010)

A fast direct solver for the integral equations of scattering theory on planar curves with corners. - James Bremer (J. Comput. Phys., 2012)

A Nyström method for weakly singular integral operators on surfaces. - James Bremer; Zydrunas Gimbutas (J. Comput. Phys., 2012)

On the numerical evaluation of the singular integrals of scattering theory. - James Bremer; Zydrunas Gimbutas (J. Comput. Phys., 2013)

On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. - Zhu Heitman; James Bremer; Vladimir Rokhlin (J. Comput. Phys., 2015)

On the nonoscillatory phase function for Legendre's differential equation. - James Bremer; Vladimir Rokhlin (J. Comput. Phys., 2017)

On the Numerical Calculation of the Roots of Special Functions Satisfying Second Order Ordinary Differential Equations. - James Bremer (SIAM J. Sci. Comput., 2017)

On-orbit validation of the geolocation accuracy of GOES-16 Geostationary Lightning Mapper (GLM) flashes using ground-based laser beacons. - Dennis Buechler; Thomas Varghese; Peter Armstrong; James Bremer; Rivers Lamb; Jon Fulbright; Steve Goodman (Earth Observing Systems, 2018)

An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order. - James Bremer (J. Comput. Phys., 2018)

An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. - James Bremer (Adv. Comput. Math., 2019)

A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential. - James Bremer (J. Comput. Phys., 2020)

On the numerical evaluation of the prolate spheroidal wave functions of order zero. - James Bremer (CoRR, 2021)

An O(1) algorithm for the numerical evaluation of the Sturm-Liouville eigenvalues of the spheroidal wave functions of order zero. - Rafeh Rehan; James Bremer (CoRR, 2021)

Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization. - James Bremer; Ze Chen; Haizhao Yang (SIAM J. Sci. Comput., 2021)

Phase function methods for second order linear ordinary differential equations with turning points. - James Bremer (CoRR, 2022)

The Levin approach to the numerical calculation of phase functions. - Murdock Aubry; James Bremer (CoRR, 2023)

A frequency-independent solver for systems of first order linear ordinary differential equations. - Tony Hu; James Bremer (CoRR, 2023)

A solver for linear scalar ordinary differential equations whose running time is bounded independent of frequency. - Murdock Aubry; James Bremer (CoRR, 2023)

An adaptive Levin method for complicated domains. - Shukui Chen; Kirill Serkh; James Bremer (CoRR, 2024)

An accelerated frequency-independent solver for oscillatory differential equations. - Tara Stojimirovic; James Bremer (CoRR, 2024)

Phase Function Methods for Second Order Inhomogeneous Linear Ordinary Differential Equations. - Kirill Serkh; James Bremer (J. Sci. Comput., 2024)

On the adaptive Levin method. - Shukui Chen; Kirill Serkh; James Bremer (Numerische Mathematik, 2024)

A frequency-independent solver for systems of linear ordinary differential equations. - Tony Hu; James Bremer (J. Comput. Appl. Math., 2025)

Airy Phase Functions. - Richard Chow; James Bremer (CoRR, 2025)

An adaptive delaminating Levin method in two dimensions. - Shukui Chen; Kirill Serkh; James Bremer; Murdock Aubry (CoRR, 2025)