Peer-Reviewed Publications

 
    Preprints
  1. R. Viator and B. Osting, Analyticity of Steklov eigenvalues of nearly-circular and nearly-spherical domains, submitted (2019). [arXiv]
  2. B. Osting and B. Simanek, A maximal energy pointset configuration problem, submitted (2018). [arXiv]
  3. B. Osting, S. Palande, and B. Wang, Spectral sparsification of simplicial complexes for clustering and label propagation, submitted (2018). [arXiv]
  4. J. L. Marzuola, M. Rechtsman, B. Osting, and M. Bandres, Bulk soliton dynamics in bosonic topological insulators, submitted (2019). [arXiv]
  5. B. Knaeble, B. Osting, and M. Abramson, Regression Analysis of Unmeasured Confounding, submitted (2019). [arXiv]
  6.  
    2019
  7. C.-Y. Kao and B. Osting, Extremal spectral gaps for periodic Schrödinger operators, ESAIM: Control, Optimisation and Calculus of Variations 25 (2019), 40. [link] [arXiv]
  8. B. Osting and D. Wang, A diffusion generated method for orthogonal matrix-valued fields, to appear in Mathematics of Computation, (2019). [link] [arXiv]
  9. B. Osting and D. Wang, Diffusion generated methods for denoising target-valued images, to appear in AIMS Inverse Problems and Imaging (2019). [arXiv]
  10. R. Viertel and B. Osting, An approach to quad meshing based on harmonic cross-valued maps and the Ginzburg-Landau theory, SIAM Journal on Scientific Computing 41 (2019), no. 1, A452-A479. [link] [arXiv]
  11. R. Viertel, B. Osting, and M. Staten, Coarse quad layouts through robust simplification of cross field separatrix partitions, Proceedings of the 28th International Meshing Roundtable (IMR), (2019). [arXiv]
  12. D. Wang, A. Cherkaev, and B. Osting, Dynamics and stationary configurations of heterogeneous foams, PLoS ONE 14 (2019), no. 4, e0215836. [link] [arXiv]
  13. D. Wang and B. Osting, A diffusion generated method for computing Dirichlet partitions, Journal of Computational and Applied Mathematics 351 (2019), 302-316. [arXiv] [link]
  14. D. Wang, B. Osting, X.-P. Wang Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field, to appear in SIAM Journal on Multiscale Modeling & Simulation (2019). [arXiv]
  15.  
    2018
  16. J.J. Abbott and B. Osting, Optimization of coreless electromagnets to maximize field generation for magnetic manipulation systems, IEEE Magnetics Letters 9 (2018) no. 1300104. [link] [pdf]
  17. D. N. Anderson, B. Osting, J. Vorwerk, A. C. Dorval, and C. R. Butson, Optimized programming algorithm for cylindrical and directional deep brain stimulation electrodes, Journal of Neural Engineering 15 (2018) 026005. [link]
  18. T. A. Howell, B. Osting, and J. J. Abbott, Sorting rotating micromachines by variations in their magnetic properties, Physical Review Applied 9 (2018), no. 5, 054021. [link]
  19. R. T. Keller, J. L. Marzuola, B. Osting, and M. I. Weinstein, Spectral band degeneracies of π/2-rotationally invariant periodic Schrödinger operators, SIAM Journal on Multiscale Modeling & Simulation 16 (2018), no. 4, 1684-1731. [arXiv] [link]
  20. R. Viator and B. Osting, Steklov eigenvalues of reflection-symmetric nearly-circular planar domains, Proceedings of the Royal Society A 474 (2018), no. 2220. [link]
  21.  
    2017
  22. E. Akhmetgaliyev, C.-Y. Kao, and B. Osting, Computational Methods For Extremal Steklov Problems, SIAM Journal on Control and Optimization 55 (2017), no. 2, p.1226-1240. [arXiv] [link]
  23. J. J. Abbott, J. B. Brink, and B. Osting, Computing minimum-power dipole solutions for interdipole forces using nonlinear constrained optimization with application to electromagnetic formation flight”. IEEE Robotics and Automation Letters, 2 (2017) no. 2, 1008-1014. [link]
  24. C.-Y. Kao, R. Lai, and B. Osting, Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces, ESAIM: Control, Optimisation and Calculus of Variations 23 (2017), no. 2, p.685-720. [arXiv] [CAM report] [link]
  25. B. Osting and J. Marzuola, Spectrally Optimized Pointset Configurations, Constructive Approximation, 46 (2017) no. 1, 1-35. [arXiv] [link]
  26. D. J. Perry, B. Osting, and R. T. Whitaker, Nyström sketches, ECML- PKDD (2017). [link]
  27. T. H. Reeb and B. Osting, Consistency of Dirichlet Partitions, SIAM Journal on Mathematical Analysis 49 (2017), no. 5, p.4251-4274. [arXiv] [link]
  28. C. H. Tan, C. Hohenegger, and B. Osting, A variational characterization of fluid sloshing with surface tension, SIAM Journal on Applied Mathematics 77 (2017), no. 3, p.995-1019. [arXiv] [link]
  29. D. Zosso, B. Osting, M. Xia and S. J. Osher, An Efficient Primal-Dual Method for the Obstacle Problem, Journal of Scientific Computing 73 (2017), no. 1, p.416-437. [CAM report] [link]
  30.  
    2016
  31. B. Osting, J. Xiong, Q. Xu, Y. Yao, Analysis of Crowdsourced Sampling Strategies for HodgeRank with Sparse Random Graphs, Applied and Computational Harmonic Analysis, 41 (2016) no. 2, 540-560. [arXiv] [link]
  32. D. Zosso and B. Osting, A minimal surface criterion for graph partitioning, Inverse Problems and Imaging, 10 (2016) no. 4. [CAM report] [link] [code]
  33.  
    2015
  34. B. Osting, J. Marzuola, and E. Cherkaev, An isoperimetric inequality for an integral operator on flat tori, Illinois Journal of Mathematics, 59 (2015), no. 3, 773-793. [arXiv] [link]
  35. D. Zosso, B. Osting, and S. J. Osher, A Dirichlet Energy Criterion for Graph-based Image Segmentation, IEEE Intl. Conf. Data Mining (ICDM) (2015). [CAM report]
  36.  
    2014
  37. Y. van Gennip, N. Guillen, B. Osting, and A. Bertozzi, Mean curvature, threshold dynamics, and phase field theory on finite graphs, Milan J. Mathematics 82 (2014) no. 1, 3-65. [link] [arXiv] [CAM report]
  38. B. Osting, C. Brune, and S. J. Osher, Optimal data collection for informative rankings expose well-connected graphs, J. Machine Learning Research, 15 (2014), 2981-3012. [link] [arXiv] [CAM report]
  39. B. Osting and C.-Y. Kao, Minimal convex combinations of three sequential Laplace-Dirichlet eigenvalues, Applied Mathematics and Optimization, 69 (2014) no. 1, 123-139. [link] [CAM report]
  40. B. Osting, C. White, and É. Oudet, Minimal Dirichlet energy partitions for graphs, SIAM Journal on Scientific Computing, 36 (2014) no. 4, A1635–A1651. [link] [arXiv] [CAM report]
  41.  
    2013
  42. D. Barrow, I. Drayer, P. Elliott, G. Gaut, and B. Osting, Ranking rankings: an empirical comparison of the predictive power of sports ranking methods, J. of Quantitative Analysis in Sports , 9 (2013) no. 2, 187-202. [link] [CAM report]
  43. B. Osting, C. Brune, and S. J. Osher, Enhanced statistical rankings via targeted data collection, JMLR, W&CP 28 (1): 489–497, (2013). [link]
  44. B. Osting, J. Darbon, and S. Osher, Statistical ranking using the l1-norm on graphs, AIMS J. Inverse Problems and Imaging, 7 (2013), no. 3, 907-926. [link] [CAM report]
  45. B. Osting and C.-Y. Kao, Minimal convex combinations of sequential Laplace-Dirichlet eigenvalues, SIAM Journal on Scientific Computing, 35 (2013), no. 3, B731-B750. [link] [CAM report]
  46. B. Osting and M. I. Weinstein, Long-lived scattering resonances and Bragg structures, SIAM Journal on Applied Mathematics, 73 (2013) no. 2, 827-852. [link] [arXiv]
  47. B. Osting and C. White, Nonnegative Matrix Factorization of Transition Matrices via Eigenvalue Optimization, NIPS OPT (2013). [pdf]
  48. A. H. Sheinfux, M. C. Rechtsman, B. Osting, J. Marzuola, and M. Segev, Soliton dynamics in a diffracting trapping potential, CLEO: QELS Fundamental Science. Optical Society of America (2013). [link]
  49.  
    2012
  50. B. Osting, Bragg structure and the first spectral gap, Applied Mathematics Letters, 25 (2012), no. 11, 1926-1930. [link]
  51.  
    2011
  52. H. S. Bhat and B. Osting, Kirchhoff's laws as a finite volume method for a planar Maxwell system, IEEE Transactions on Antennas and Propagation, 59 (2011) no. 10, 3772-3779. [link] [code]
  53. H. S. Bhat and B. Osting, Two-dimensional inductor-capacitor lattice synthesis, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 30 (2011), no. 10, 1483-1492. [link]
  54. B. Osting and M. I. Weinstein, Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation, SIAM Multiscale Modeling and Simulation, 9 (2011) no. 2, 654-685. [link] [arXiv]
  55.  
    2010
  56. H. S. Bhat and B. Osting, Discrete diffraction in two-dimensional transmission line metamaterials, Microwave and Optical Technology Letters, 52 (2010) no. 3, 721-725. [link]
  57. B. Osting, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues. J. Comp. Phys., 229 (2010) no. 22, 8578-8590. [link]
  58. A. Ying, B. Osting., I. C. Noyan, C. E. Murray, M. Holt, and J. Maser, Modeling kinematical x-ray diffraction excited by a coherent nanobeam, J. Applied Crystallography, 43 (2010) 587-595. [link]
  59.  
    2009
  60. H. S. Bhat and B. Osting, Diffraction on the two-dimensional square lattice, SIAM Journal on Applied Mathematics, 70 (2009), no. 5, 1389–1406. [link] [code]
  61. H. S. Bhat and B. Osting, The zone boundary mode in periodic nonlinear electrical lattices, Physica D , 238 (2009), 1216–1228. [link]
  62.  
    2008
  63. B. Osting and H. S. Bhat, Dispersive diffraction in a two-dimensional hexagonal transmission lattice, ISAP Conference Proceedings, Taipei, Taiwan, (2008). [pdf]
  64. H. S. Bhat and B. Osting, Thin slit diffraction in conventional and dual composite right/left-handed transmission line metamaterials, APMC Conference Proceedings, Hong Kong, (2008). [link]
  65.  
    2005
  66. B. Osting, S. E. Hewitt, and J. N. Kutz, The dynamics of the optical parametric oscillator near resonance detuning, In Nonlinear Guided Waves and Their Applications, Dresden, Germany, (2005). [link]
  67. B. Osting, S. E. Hewitt, and J. N. Kutz, Stability and dynamics of transverse field structures in the optical parametric oscillator near resonance signal detuning, J. Phys. B: At. Mol. Opt. Phys., 38 (2005), 3461–3475. [link]

Other Publications

 
  1. K. Parker and B. Osting, Rank and score aggregation methods in competitive climbing, SIAM Undergraduate Research Online (SIURO), 11 (2018). [link]
  2. B. Osting and T. H. Reeb, Approximating Dirichlet partitions using geometric graphs, Oberwolfach Report on Nonlinear Partial Differential Equations on Graphs, (2017). [link]
  3. T. Kolokolnikov, B. Osting, and J. von Brecht, Algebraic Connectivity of Erdös-Rényi graphs near the connectivity threshold, UCLA CAM Report (2014). [CAM report]
  4. B. Osting, Spectral optimization problems controlling wave phenomena, PhD Thesis, Columbia University, (2011). [link]
  5. R. Bressler, C. Polwarth, and B. Osting, Analysis of dam failure in the Saluda river valley, UMAP, 26 (2005), no. 3, 263–278. [link] [pdf]
  6. B. Osting, Stability and dynamics of transverse field structures in the optical parametric oscillator near resonance detuning, Undergraduate Honors Thesis, University of Washington, (2005). [pdf]

Any comments, reviews, critiques, or objections are invited and should be sent to the author by e-mail.