Diffraction on the Two-Dimensional Square Lattice. - Harish S. Bhat; Braxton Osting (SIAM J. Appl. Math., 2009)

Optimization of spectral functions of Dirichlet-Laplacian eigenvalues. - Braxton Osting (J. Comput. Phys., 2010)

Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation. - Braxton Osting; Michael I. Weinstein (Multiscale Model. Simul., 2011)

2-D Inductor-Capacitor Lattice Synthesis. - Harish S. Bhat; Braxton Osting (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2011)

Bragg structure and the first spectral gap. - Braxton Osting (Appl. Math. Lett., 2012)

Optimal Data Collection for Improved Rankings Expose Well-Connected Graphs - Braxton Osting; Christoph Brune; Stanley J. Osher (CoRR, 2012)

Enhanced statistical rankings via targeted data collection. - Braxton Osting; Christoph Brune; Stanley J. Osher (ICML (1), 2013)

Long-Lived Scattering Resonances and Bragg Structures. - Braxton Osting; Michael I. Weinstein (SIAM J. Appl. Math., 2013)

Minimal Convex Combinations of Sequential Laplace-Dirichlet Eigenvalues. - Braxton Osting; Chiu-Yen Kao (SIAM J. Sci. Comput., 2013)

Optimal data collection for informative rankings expose well-connected graphs. - Braxton Osting; Christoph Brune; Stanley J. Osher (J. Mach. Learn. Res., 2014)

Minimal Dirichlet Energy Partitions for Graphs. - Braxton Osting; Chris D. White; Édouard Oudet (SIAM J. Sci. Comput., 2014)

A Dirichlet Energy Criterion for Graph-Based Image Segmentation. - Dominique Zosso; Braxton Osting; Stanley J. Osher (ICDM Workshops, 2015)

Analysis of Crowdsourced Sampling Strategies for HodgeRank with Sparse Random Graphs. - Braxton Osting; Jiechao Xiong; Qianqian Xu; Yuan Yao 011 (CoRR, 2015)

Nyström Sketches. - Daniel J. Perry; Braxton Osting; Ross T. Whitaker (ECML/PKDD (1), 2017)

Towards Spectral Sparsification of Simplicial Complexes Based on Generalized Effective Resistance. - Braxton Osting; Sourabh Palande; Bei Wang 001 (CoRR, 2017)

A generalized MBO diffusion generated motion for orthogonal matrix-valued fields. - Braxton Osting; Dong Wang 008 (CoRR, 2017)

An Efficient Primal-Dual Method for the Obstacle Problem. - Dominique Zosso; Braxton Osting; Mandy (Mengqi) Xia; Stanley J. Osher (J. Sci. Comput., 2017)

Computing Minimum-Power Dipole Solutions for Interdipole Forces Using Nonlinear Constrained Optimization With Application to Electromagnetic Formation Flight. - Jake J. Abbott; Joseph B. Brink; Braxton Osting (IEEE Robotics Autom. Lett., 2017)

A Variational Characterization of Fluid Sloshing with Surface Tension. - Chee Han Tan; Christel Hohenegger; Braxton Osting (SIAM J. Appl. Math., 2017)

Computational Methods for Extremal Steklov Problems. - Eldar Akhmetgaliyev; Chiu-Yen Kao; Braxton Osting (SIAM J. Control. Optim., 2017)

Consistency of Dirichlet Partitions. - Braxton Osting; Todd Harry Reeb (SIAM J. Math. Anal., 2017)

Spectral Band Degeneracies of $ frac{ pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators. - Rachael T. Keller; Jeremy Louis Marzuola; Braxton Osting; Michael I. Weinstein (Multiscale Model. Simul., 2018)

Coarse Quad Layouts Through Robust Simplification of Cross Field Separatrix Partitions. - Ryan Viertel; Braxton Osting; Matthew L. Staten (CoRR, 2019)

A diffusion generated method for computing Dirichlet partitions. - Dong Wang 008; Braxton Osting (J. Comput. Appl. Math., 2019)

Interface Dynamics for an Allen-Cahn-Type Equation Governing a Matrix-Valued Field. - Dong Wang 008; Braxton Osting; Xiao-Ping Wang 002 (Multiscale Model. Simul., 2019)

An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg-Landau Theory. - Ryan Viertel; Braxton Osting (SIAM J. Sci. Comput., 2019)

A continuum limit for the PageRank algorithm. - Amber Yuan; Jeff Calder; Braxton Osting (CoRR, 2020)

A non-autonomous equation discovery method for time signal classification. - Ryeongkyung Yoon; Harish S. Bhat; Braxton Osting (CoRR, 2020)

Spectral sparsification of simplicial complexes for clustering and label propagation. - Braxton Osting; Sourabh Palande; Bei Wang 001 (J. Comput. Geom., 2020)

ERRATUM: Spectral Band Degeneracies of $ frac{ pi}{2}$-Rotationally Invariant Periodic Schrödinger Operators. - Rachael T. Keller; Jeremy Louis Marzuola; Braxton Osting; Michael I. Weinstein (Multiscale Model. Simul., 2020)

A diffusion generated method for orthogonal matrix-valued fields. - Braxton Osting; Dong Wang 008 (Math. Comput., 2020)

Probabilistic methods for approximate archetypal analysis. - Ruijian Han; Braxton Osting; Dong Wang 008; Yiming Xu (CoRR, 2021)

Linear Convergence of a Rearrangement Method for the One-dimensional Poisson Equation. - Chiu-Yen Kao; Seyyed Abbas Mohammadi; Braxton Osting (J. Sci. Comput., 2021)

A Metric on Directed Graphs and Markov Chains Based on Hitting Probabilities. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting; Jonathan Weare (SIAM J. Math. Data Sci., 2021)

Consistency of Archetypal Analysis. - Braxton Osting; Dong Wang 008; Yiming Xu; Dominique Zosso (SIAM J. Math. Data Sci., 2021)

A dynamical systems based framework for dimension reduction. - Ryeongkyung Yoon; Braxton Osting (CoRR, 2022)

Wasserstein Archetypal Analysis. - Katy Craig; Braxton Osting; Dong Wang; Yiming Xu (CoRR, 2022)

Escape times for subgraph detection and graph partitioning. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (CoRR, 2022)

A Nonautonomous Equation Discovery Method for Time Signal Classification. - Ryeongkyung Yoon; Harish S. Bhat; Braxton Osting (SIAM J. Appl. Dyn. Syst., 2022)

Steklov Eigenvalues of Nearly Spherical Domains. - Robert Viator; Braxton Osting (SIAM J. Control. Optim., 2022)

High Spots for the Ice-Fishing Problem with Surface Tension. - Nathan Willis; Chee Han Tan; Christel Hohenegger; Braxton Osting (SIAM J. Appl. Math., 2022)

Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight. - Chiu-Yen Kao; Braxton Osting; Jackson C. Turner (SIAM J. Appl. Algebra Geom., 2023)

Extremal Graph Realizations and Graph Laplacian Eigenvalues. - Braxton Osting (SIAM J. Discret. Math., 2023)

Harmonic Functions on Finitely Connected Tori. - Chiu-Yen Kao; Braxton Osting; Édouard Oudet (SIAM J. Numer. Anal., 2023)

Targeting influence in a harmonic opinion model. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (CoRR, 2024)

An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs. - Zachary M. Boyd; Nicolas Fraiman; Jeremy Louis Marzuola; Peter J. Mucha; Braxton Osting (SIAM J. Matrix Anal. Appl., 2024)

A semi-definite optimization method for maximizing the shared band gap of topological photonic crystals. - Chiu-Yen Kao; Junshan Lin; Braxton Osting (J. Comput. Phys., 2025)

Layer Potential Methods for Doubly-Periodic Harmonic Functions. - Bohyun Kim; Braxton Osting (CoRR, 2025)