Min Hyung Cho headshot

Min Hyung Cho

Associate Professor

College
College of Sciences
Department
Mathematics & Statistics
Office
Southwick Hall, Room 350-O
Email
minhyung_cho@uml.edu
Links

Expertise

Computational Mathematics/Electromagnetics, Numerical Solution of PDEs, Scientific Computing.

Research Interests

Computational Mathematics, Applied Mathematics, Electromagnetics, Numerical Solution of PDEs, Scientific Computing

Education

  • Ph D: Applied Mathematics, The University of North Carolina at Charlotte

Selected Awards and Honors

  • Teaching Excellence Award (2017), Teaching - UMass Lowell

Selected Publications

  • Wu, B., Cho, M. (2023). Robust fast direct integral equation solver for quasi-periodic scattering problems with a three-dimensional multilayered medium, Journal of Computational Physics, 495, 15
  • Weed, J., Ding, L., Huang, J., Cho, M. (2023) Quadrature by two expansions for evaluating Helmholtz layer potentials, Journal of Scientific Computing, 95, 96
  • Cho, M., Huang, J. (2021). Adapting free-space fast multipole method for layered media Green's function: Algorithm and analysis. Applied and Computational Harmonic Analysis, 51, 414-436
  • Wang, B., Chen, D., Zhang, B., Zhang, W., Cho, M., Cai, W. (2020). Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media. Journal of Computational Physics,401 109008.
  • Cho, M. (2019). Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media. Journal of Computational Physics,393(15) 46-58.
  • Tsantili, I., Cho, M., Cai, W., Karniadakis, G. (2018). A computational stochastic methodology for the design of random meta-materials under geometric constraints. SIAM Journal on Scientific Computing,40(2) B353-B378.
  • Cho, M., Huang, J., Chen, D., Cai, W. (2018). A Heterogeneous FMM for Layered Media Helmholtz Equation I: Two Layers in R^2. Journal of Computational Physics,369 237-251.
  • Chen, D., Cho, M., Cai, W. (2018). Accurate and efficient nystrom volume integral equation method for electromagnetic scattering of 3-D meta-materials in layered media. . SIAM Journal on Scientific Computing,40(1) B259-B282.
  • Cho, M., Cai, W. (2017). Efficient and accurate computation of electric field dyadic Green’s function in layered media. Journal of Scientific Computing,71(3) 1319-1350.
  • Chen, D., Cai, W., Zinser, B., Cho, M. (2016). Accurate and Efficient Nystrom Volume Integral Equation Method for the Maxwell equations for Multiple 3-D Scatterers. Journal of Computational Physics,321 303-320.
  • Cho, M., Barnett, A.H. (2015). Robust fast direct integral equation solver for quasi-periodic scattering problems with a large number of layers. Optics express,23(2) 1775–1799.
  • Cho, M., Cai, W. (2013). Fast integral equation solver for Maxwell’s equations in layered media with FMM for Bessel functions. Science China Mathematics,56(12) 2561–2570.
  • Davis, C., Kim, J.G., Oh, H., Cho, M. (2013). Meshfree Particle Methods in the Framework of Boundary Element Methods for the Helmholtz Equation. Journal of Scientific Computing,55(1) 200–230.
  • Cho, M., Cai, W. (2012). A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media. Journal of Computational Physics,231(17) 5910–5925.
  • Cho, M., Cai, W. (2012). Revision of wFMM–A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation. Computer Physics Communications,183(2) 446–447.
  • Cho, M., Zheng, H., Lu, Y., Lee, Y., Cai, W. (2011). Improved rigorous coupled-wave analysis for polar magnetic gratings. Computer Physics Communications,182(2) 360–365.
  • Cho, M., Cai, W. (2010). A wideband fast multipole method for the two-dimensional complex Helmholtz equation. Computer Physics Communications,181(12) 2086–2090.
  • Kim, J., Lu, Y., Cho, M., Lee, G., Lee, Y., Rhee, J., Yoon, C. (2009). Diffracted magneto-optical Kerr effect in one-dimensional magnetic gratings. Applied Physics Letters,94(15) 151110–151110.
  • Kim, J., Lu, Y., Cho, M., Lee, Y., Rhee, J., Lee, J., Ho, K. (2009). Diffracted magneto-optical Kerr effect of a Ni magnetic grating. Journal of Applied Physics,106(9) 093103–093103.
  • Lam, V., Tung, N., Cho, M., Park, J., Jang, W., Lee, Y. (2009). Effect of the dielectric layer thickness on the electromagnetic response of cut-wire-pair and combined structures. Journal of Physics D: Applied Physics,42(11) 115404.
  • Tung, N., Lam, V., Cho, M., Park, J., Lee, S., Jang, W., Lee, Y. (2009). Effects of the electric component on combined metamaterial structure. Magnetics, IEEE Transactions on,45(10) 4310–4313.
  • Lam, V., Tung, N., Cho, M., Park, J., Rhee, J., Lee, Y. (2009). Influence of lattice parameters on the resonance frequencies of a cut-wire-pair medium. Journal of Applied Physics,105(11) 113102–113102.
  • Tung, N., Lam, V., Cho, M., Park, J., Jang, W., Lee, Y. (2009). Influence of the dielectric-spacer thickness on the left-handed behavior of fishnet metamaterial structure. Photonics and Nanostructures-Fundamentals and Applications,7(4) 206–211.
  • Tung, N., Lam, V., Park, J., Cho, M., Rhee, J., Jang, W., Lee, Y. (2009). Single-and double-negative refractive indices of combined metamaterial structure. Journal of Applied Physics,106(5) 053109–053109.
  • Lu, Y., Cho, M., Kim, J., Lee, Y., Rhee, J., Lee, J. (2008). Control of Diffracted Magneto-Optical Enhancement in Ni Gratings. Magnetics, IEEE Transactions on,44(11) 3300–3302.
  • Lu, Y., Cho, M., Kim, J., Lee, G., Lee, Y., Rhee, J. (2008). Magneto-optical enhancement through gyrotropic gratings. Optics express,16(8) 5378–5384.
  • Lu, Y., Cho, M., Lee, Y., Rhee, J.Y. (2008). Polarization-independent extraordinary optical transmission in one-dimensional metallic gratings with broad slits. Applied Physics Letters,93(6) 061102.
  • Cho, M., Lu, Y., Rhee, J.Y., Lee, Y.P. (2008). Rigorous approach on diffracted magneto-optical effects from polar and longitudinal gyrotropic gratings. Optics express,16(21) 16825–16839.
  • Cho, M., Lee, Y., Cai, W. (2007). Modeling of 2D photonic crystals with a boundary integral equation. Journal of Korean Physical Society,51 1507.
  • Cho, M., Cai, W., Her, T. (2006). A boundary integral equation method for photonic crystal fibers. Journal of scientific computing,28(2-3) 263–278.

Selected Presentations

  • - Applied Math Seminar, Feb. 14, 2024, Yale University
  • - International Congress on Industrial and Applied Mathematics (ICIAM 2023), Aug. 23, 2023, Tokyo, Japan
  • - Colloquium, Oct. 29, 2021, Univ. of Central Florida
  • - Modeling, Computation, Nonlinearity, Randomness and Waves Seminar, Sep. 9, 2021, Univ. of Arizona 
  • - Computational Science and Engineering (CSE21), Mar. 1-Mar. 5, 2021 (Virtual)
  • - Applied and Computational Mathematics Seminar, January 2020 - Dartmouth College
  • - International Congress on Industrial and Applied Mathematics (ICIAM 2019), July 2019 - Valencia, Spain
  • - Applied Inverse Problem 2019, July 2019 - Grenoble, France
  • - SIAM Conference on Computational Science and Engineering (CSE 19), March 2019 - Spokane, WA
  • - Colloquium, November 2018 - University of North Carolina at Charlotte
  • - SIAM Annual Meeting, July 2018 - Portland, OR
  • - SIAM Conference on Analysis of Partial Differential Equations, December 2017 - Baltimore, MD
  • - Massachusetts HPC day, May 2017 - UMass Dartmouth
  • - Scientific Computing Seminar, April 2017 - Brown University
  • - SIAM Conference on Computational Science and Engineering (CSE 17), March 2017 - Atlanta, GA
  • - Space Physics Seminar, September 2016 - UMass Lowell
  • - SIAM Annual Meeting, July 2016 - Boston, MA
  • - Computational Science Seminar, April 2016 - UMass Dartmouth
  • - Numerical Analysis and PDE Seminar, March 2016 - University of Delaware
  • - Numerical Simulation and Theoretical Analysis in Computational Physics, December 2015 - Peking University
  • - Applied Mathematics Seminar, November 2015 - UMass Lowell
  • - The 7th International Congress on Industrial & Applied Mathematics (ICIAM 2015), August 2015 - Beijing, China
  • - Colloquium, November 2014 - Dartmouth College
  • - SIAM Annual Meeting, July 2014 - Chicago, IL
  • - Applied Mathematics Seminar, September 2013 - Ehwa Womans University
  • - SIAM Annual Meeting, July 2013 - San Diego, CA
  • - SIAM Conference on Computational Science and Engineering (CSE13), February 2013 - Boston, MA

Selected Contracts, Fellowships, Grants and Sponsored Research

  • Collaborative Research: On Some Fundamental Computational Issues in Simulating Interaction Models (2020), Grant - NSF
    Cho, M. (Principal), Huang, J. (Principal)
  • Collaboration Grants for Mathematicians (2016), Grant - Simons Foundation
    Cho, M. (Principal)
  • KCS Seed Grant (2019), Grant - Kennedy College of Sciences, UMass Lowell
    Cho, M. (Principal), Pourkamali Anaraki, F.,