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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
Pages
Posts
Future Blog Post
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Blog Post number 4
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Blog Post number 3
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Blog Post number 1
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portfolio
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publications
Accurate derivative evaluation for any Grad–Shafranov solver
Published in Journal of Computational Physics, 2016
Integral equation methods for elastance and mobility problems in two dimensions
Published in SIAM Journal on Numerical Analysis, 2016
A coarse-grained computational model of the nuclear pore complex predicts Phe-Gly nucleoporin dynamics
Published in Journal of General Physiology, 2017
An efficient high order method for dislocation climb in two dimensions
Published in Multiscale Modeling & Simulation, 2017
An integral equation formulation for rigid bodies in Stokes flow in three dimensions
Published in Journal of Computational Physics, 2017
Fast algorithms for Quadrature by Expansion I: Globally valid expansions
Published in Journal of Computational Physics, 2017
A fluctuating boundary integral method for Brownian suspensions
Published in Journal of Computational Physics, 2018
Integral equation formulation of the biharmonic Dirichlet problem
Published in Journal of Scientific Computing, 2018
On the location of maxima of solutions of Schr"odinger's equation
Published in Communications on Pure and Applied Mathematics, 2018
Optimal jittered sampling for two points in the unit square
Published in Statistics & Probability Letters, 2018
Fast interpolation-based t-SNE for improved visualization of single-cell RNA-seq data
Published in Nature methods, 2019
On the diffusion geometry of graph Laplacians and applications
Published in Applied and Computational Harmonic Analysis, 2019
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Recommended citation: Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger, "On the diffusion geometry of graph Laplacians and applications." Applied and Computational Harmonic Analysis, 2019.
fmm3D documentation
Published in Release 0.1. 0, 2019
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Recommended citation: Z Gimbutas, L Greengard, J Magland, M Rachh, V Rokhlin, "fmm3D documentation." Release 0.1. 0, 2019.
A boundary integral equation approach to computing eigenvalues of the Stokes operator
Published in Advances in Computational Mathematics, 2020
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Recommended citation: Travis Askham, Manas Rachh, "A boundary integral equation approach to computing eigenvalues of the Stokes operator." Advances in Computational Mathematics, 2020.
A fast boundary integral method for high-order multiscale mesh generation
Published in SIAM Journal on Scientific Computing, 2020
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Recommended citation: Felipe Vico, Leslie Greengard, Michael O'Neil, Manas Rachh, "A fast boundary integral method for high-order multiscale mesh generation." SIAM Journal on Scientific Computing, 2020.
On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains
Published in Journal of Computational Physics: X, 2020
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Recommended citation: Jeremy Hoskins, Manas Rachh, "On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains." Journal of Computational Physics: X, 2020.
On the solution of Laplace’s equation in the vicinity of triple junctions
Published in Pure and Applied Analysis, 2020
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Recommended citation: Jeremy Hoskins, Manas Rachh, "On the solution of Laplace’s equation in the vicinity of triple junctions." Pure and Applied Analysis, 2020.
On the solution of the Stokes equation on regions with corners
Published in Communications on Pure and Applied Mathematics, 2020
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Recommended citation: Manas Rachh, Kirill Serkh, "On the solution of the Stokes equation on regions with corners." Communications on Pure and Applied Mathematics, 2020.
Analysis of single-excitation states in quantum optics
Published in arXiv preprint arXiv:2110.07049, 2021
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Recommended citation: Jeremy Hoskins, Jason Kaye, Manas Rachh, John Schotland, "Analysis of single-excitation states in quantum optics." arXiv preprint arXiv:2110.07049, 2021.
Fast multipole accelerated solvers for the Laplace-Beltrami problem in three dimensions
Published in arXiv preprint arXiv, 2021
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Recommended citation: Dhwanit Agarwal, Michael O{\'N}eil, Manas Rachh, "Fast multipole accelerated solvers for the Laplace-Beltrami problem in three dimensions." arXiv preprint arXiv, 2021.
Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures
Published in Journal of Computational Physics: X, 2021
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Recommended citation: Leslie Greengard, Michael O'Neil, Manas Rachh, Felipe Vico, "Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures." Journal of Computational Physics: X, 2021.
Debye source representations for type-I superconductors, I: The static type I case
Published in Journal of Computational Physics, 2022
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Recommended citation: Charles Epstein, Manas Rachh, "Debye source representations for type-I superconductors, I: The static type I case." Journal of Computational Physics, 2022.
High-Resolution EEG Source Reconstruction with Boundary Element Fast Multipole Method Using Reciprocity Principle and TES Forward Model Matrix
Published in bioRxiv, 2022
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Recommended citation: William Wartman, Tommi Raij, Manas Rachh, Fa-Hsuan Lin, Konstantin Weise, Thomas Knoesche, Burkhard Maess, Carsten Wolters, Matti H{\"a}m{\"a}l{\"a}inen, Aapo Nummenmaa, Sergey Makaroff, "High-Resolution EEG Source Reconstruction with Boundary Element Fast Multipole Method Using Reciprocity Principle and TES Forward Model Matrix." bioRxiv, 2022.
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization
Published in Advances in Computational Mathematics, 2022
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Recommended citation: Carlos Borges, Manas Rachh, "Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization." Advances in Computational Mathematics, 2022.
A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation
Published in Scientific reports, 2023
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Recommended citation: SN Makaroff, Z Qi, M Rachh, WA Wartman, Konstantin Weise, GM Noetscher, M Daneshzand, Zhi-De Deng, L Greengard, AR Nummenmaa, "A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation." Scientific reports, 2023.
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Published in Journal of Computational Physics, 2023
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Recommended citation: Jeremy Hoskins, Jason Kaye, Manas Rachh, John Schotland, "A fast, high-order numerical method for the simulation of single-excitation states in quantum optics." Journal of Computational Physics, 2023.
A neural network warm-start approach for the inverse acoustic obstacle scattering problem
Published in Journal of Computational Physics, 2023
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Recommended citation: Mo Zhou, Jiequn Han, Manas Rachh, Carlos Borges, "A neural network warm-start approach for the inverse acoustic obstacle scattering problem." Journal of Computational Physics, 2023.
FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions
Published in Multiscale Modeling & Simulation, 2023
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Recommended citation: Daria Sushnikova, Leslie Greengard, Michael O’Neil, Manas Rachh, "FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions." Multiscale Modeling & Simulation, 2023.
FMM-accelerated solvers for the Laplace–Beltrami problem on complex surfaces in three dimensions
Published in Journal of Scientific Computing, 2023
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Recommended citation: Dhwanit Agarwal, Michael O’Neil, Manas Rachh, "FMM-accelerated solvers for the Laplace--Beltrami problem on complex surfaces in three dimensions." Journal of Scientific Computing, 2023.
Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors
Published in arXiv preprint arXiv:2306.04473, 2023
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Recommended citation: Felipe Vico, Leslie Greengard, Michael O'Neil, Manas Rachh, "Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors." arXiv preprint arXiv:2306.04473, 2023.
Helmholtz boundary integral methods and the pollution effect
Published in preparation.(Cited on p. 814), 2023
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Recommended citation: Jeffrey Galkowski, Manas Rachh, Euan Spence, "Helmholtz boundary integral methods and the pollution effect." preparation.(Cited on p. 814), 2023.
Integral formulation of Dirac singular waveguides
Published in arXiv preprint arXiv:2312.16701, 2023
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Recommended citation: Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Integral formulation of Dirac singular waveguides." arXiv preprint arXiv:2312.16701, 2023.
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Published in Inverse Problems, 2023
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Recommended citation: Carlos Borges, Manas Rachh, Leslie Greengard, "On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary." Inverse Problems, 2023.
Potential of fast multipole method for mesoscale and multiscale brain modeling: applicability to EEG, MEG, TES, TMS, and DBS
Published in Brain Stimulation: Basic, Translational, and Clinical Research in Neuromodulation, 2023
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Recommended citation: Manas Rachh, Vishwanath Iyer, Leslie Greengard, Samuel Zibman, Mohammad Daneshzand, Matti H{\"a}m{\"a}l{\"a}inen, Jyrki Ahveninen, Tommi Raji, Aapo Nummenmaa, Sergey Makaroff, "Potential of fast multipole method for mesoscale and multiscale brain modeling: applicability to EEG, MEG, TES, TMS, and DBS." Brain Stimulation: Basic, Translational, and Clinical Research in Neuromodulation, 2023.
Quantum electrodynamics of chiral and antichiral waveguide arrays
Published in Optics Letters, 2023
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Recommended citation: Jeremy Hoskins, Manas Rachh, John Schotland, "Quantum electrodynamics of chiral and antichiral waveguide arrays." Optics Letters, 2023.
A new version of the adaptive fast Gauss transform for discrete and continuous sources
Published in SIAM Review, 2024
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Recommended citation: Leslie Greengard, Shidong Jiang, Manas Rachh, Jun Wang, "A new version of the adaptive fast Gauss transform for discrete and continuous sources." SIAM Review, 2024.
An adaptive h-refinement method for the boundary element fast multipole method for quasi-static electromagnetic modeling
Published in Physics in Medicine & Biology, 2024
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Recommended citation: William Wartman, Konstantin Weise, Manas Rachh, Leah Morales, Zhi-De Deng, Aapo Nummenmaa, Sergey Makaroff, "An adaptive h-refinement method for the boundary element fast multipole method for quasi-static electromagnetic modeling." Physics in Medicine & Biology, 2024.
Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space
Published in arXiv preprint arXiv:2409.06988, 2024
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Recommended citation: Charles Epstein, Leslie Greengard, Jeremy Hoskins, Shidong Jiang, Manas Rachh, "Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space." arXiv preprint arXiv:2409.06988, 2024.
Cytoplasmic stirring by active carpets
Published in Proceedings of the National Academy of Sciences, 2024
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Recommended citation: Brato Chakrabarti, Manas Rachh, Stanislav Shvartsman, Michael Shelley, "Cytoplasmic stirring by active carpets." Proceedings of the National Academy of Sciences, 2024.
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Published in Journal of Scientific Computing, 2024
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Recommended citation: Travis Askham, Carlos Borges, Jeremy Hoskins, Manas Rachh, "Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data." Journal of Scientific Computing, 2024.
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids
Published in Applied and Computational Harmonic Analysis, 2024
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Recommended citation: Alex Barnett, Philip Greengard, Manas Rachh, "Uniform approximation of common Gaussian process kernels using equispaced Fourier grids." Applied and Computational Harmonic Analysis, 2024.
Complex scaling for open waveguides
Published in arXiv preprint arXiv:2506.10263, 2025
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Recommended citation: Charles Epstein, Tristan Goodwill, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Complex scaling for open waveguides." arXiv preprint arXiv:2506.10263, 2025.
Equispaced Fourier representations for efficient Gaussian process regression from a billion data points
Published in SIAM/ASA Journal on Uncertainty Quantification, 2025
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Recommended citation: Philip Greengard, Manas Rachh, Alex Barnett, "Equispaced Fourier representations for efficient Gaussian process regression from a billion data points." SIAM/ASA Journal on Uncertainty Quantification, 2025.
Integral equations for flexural-gravity waves: analysis and numerical methods
Published in arXiv preprint arXiv:2501.00887, 2025
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Recommended citation: Travis Askham, Jeremy Hoskins, Peter Nekrasov, Manas Rachh, "Integral equations for flexural-gravity waves: analysis and numerical methods." arXiv preprint arXiv:2501.00887, 2025.
Integral formulation of Klein–Gordon singular waveguides
Published in Communications on Pure and Applied Mathematics, 2025
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Recommended citation: Guillaume Bal, Jeremy Hoskins, Solomon Quinn, Manas Rachh, "Integral formulation of Klein--Gordon singular waveguides." Communications on Pure and Applied Mathematics, 2025.
On quadrature for singular integral operators with complex symmetric quadratic forms
Published in Applied and Computational Harmonic Analysis, 2025
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Recommended citation: Jeremy Hoskins, Manas Rachh, Bowei Wu, "On quadrature for singular integral operators with complex symmetric quadratic forms." Applied and Computational Harmonic Analysis, 2025.
On the Construction of Scattering Matrices for Irregular or Elongated Enclosures Using Green’s Representation Formula
Published in Journal of Scientific Computing, 2025
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Recommended citation: Carlos Borges, Leslie Greengard, Michael O’Neil, Manas Rachh, "On the Construction of Scattering Matrices for Irregular or Elongated Enclosures Using Green’s Representation Formula." Journal of Scientific Computing, 2025.
Type-I Superconductors in the Limit as the London Penetration Depth Goes to 0
Published in arXiv preprint arXiv:2502.18809, 2025
talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.