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About me

Welcome to my homepage. I am an applied and computational mathematician and currently an Assistant Professor in the Department of Mathematical Sciences at the University of Massachusetts Lowell

I am working on several projects:

• High-performance fast solver for waves in 3-D multi-layered media using the Fast Multipole Method (FMM) (Please visit this website to see what is the FMM and who is working on) and treecodes.


• Periodizing scheme for patterned multi-layer dielectric media (Scattering from 1000 layers shown on the right. Click the figure to see the high resolution version).


• Volume integral equations for Maxwell's equations (See the book cover on the right).

Publications (Google Scholar)

1. M.H. Cho, Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media, arXiv:1806.03813, 2018 (Download)


2. M.H. Cho, J. Huang, D. Chen, and W. Cai, A Heterogeneous FMM for Layered Media Helmholtz Equation I: Two Layers in R2, J. Comp. Phys., 369, 237-251, 2018 (Download)


3. I. Tsantili, M.H. Cho, W. Cai, and G. Karniadakis, A computational stochastic methodology for the design of random meta-materials under geometric constraints, SIAM Journal on Scientific Computing (SISC), 40, B353-B378, 2018 (Download)


4. D. Chen, M.H. Cho and W. Cai, Accurate and efficient volume integral equation method for electromagnetic scattering of 3-D Meta-materials in layered media, SIAM Journal on Scientific Computing (SISC), 40, B259-282, 2018 (Download)


5. M.H. Cho and W. Cai, Efficient and accurate computation of electric field dyadic Green's function in layered media, J. Sci Comput, 77, 1319-1350, 2017 (Download)


6. D. Chen, W. Cai, B. Zinser, and M.H. Cho, Accurate and efficient Nystrom volume integral equation method for the Maxwell equations for multiple 3-D scatterers, J. Comp. Phys, 321, 303-320, 2016 (Download)


7. M.H. Cho and A. Barnett, Robust fast direct integral equation solver for quasi-periodic scattering problems with a large number of layers, Optics Express, 23, 2, 1775-1799, 2015 (Download)


8. M.H. Cho and W. Cai, Fast integral equation solver for Maxwell's equations in layered media with FMM for Bessel functions, Dedicated to Prof. Zhongci Shi on the occasion of his 80th birthday - Invited paper, Science China Mathematics, 56, 12, 2561-2570, 2013 (Download)


9. C. Davis, J. G. Kim, H.-S. Oh, and M.H. Cho, Meshfree particle methods in the framework of boundary element methods for Helmholtz equation, Journal of Sci. Comp., 55 1, 200-230, 2013 (Download)


10. M.H. Cho and W. Cai, A parallel fast algorithm for computing Helmholtz integral operator in 3-D layered media, Journal of Computational Physics, 231, 17, 5910-5925, 2012 (Download)


11. M.H. Cho and W. Cai, Revision of wFMM - A wideband fast multipole method for two dimensional complex Helmholtz Equation, Computer Physics Communication, 183, 2, 446-447, 2012 (Download)


12. M.H. Cho, H. Zheng, Y.H. Lu, Y.P. Lee and W. Cai, Improved rigorous coupled wave analysis for polar magnetic grating, Computer Physics Communications, 182, 2, 360- 365, 2011 (Download)


13. M.H. Cho and W. Cai, A wideband fast multipole method for two dimensional complex Helmholtz Equation, Computer Physics Communications, 181, 12, 2086-2090, 2010 (Download)


14. J.B. Kim, Y .H. Lu, M.H. Cho, Y .P . Lee, J.Y . Rhee, J.-H. Lee and K.-M. Ho, Diffracted magneto-optical Kerr effect of a magnetic Ni grating, Journal of Appl. Phys., 106, 093103, 2009 (Download)


15. M.H. Cho, Y .H. Lu, Y .P . Lee and J.Y . Rhee, Magneto-optic study on a transverse gyrotropic gratings, J. of Korean Physical Society, 55, 1210-1214, 2009 (Download)


16. N.T. Tung, V.D. Lam, J.W. Park, M.H. Cho, J.Y. Rhee, W.H. Jang and Y.P. Lee, Single- and double-negative refractive indices of combined metamaterial structure, Journal of Applied Physics, 106, 053109, 2009 (Download)


17. V.D. Lam, N.T. Tung, M.H. Cho, J.W. Park, W.H. Jang and Y.P. Lee, Influence of lattice parameters on the resonance frequencies of a cut-wire pair medium, Journal of Applied Physics, 105, 113102, 2009 (Download)


18. J.B. Kim. Y.H. Lu, M.H. Cho, G.J. Lee, Y.P. Lee, J.Y. Rhee and C.S. Yoon, Diffracted magneto-optical Kerr effect in one-dimensional magnetic gratings, Applied Physics Letters, 94, 151110, 2009 (Download)


19. N.T. Tung, V.D. Lam, M.H. Cho, J.W. Park, W.H. Jang, Y.P. Lee, Influence of the dielectric-spacer thickness on the left-handed behavior of fishnet metamaterial structure, Photonics and Nanostructures, 7, 206-211, 2009 (Download)


20. V.D. Lam, N.T, Tung, M.H. Cho, J.W. Park, W.H. Jang and Y.P. Lee, Effect of the dielectric layer thickness on the electromagnetic response of cut-wire-pair and combined structures, Journal of Physics D, 42, 115404, 2009 (Download)


21. M.H. Cho, Y.H. Lu, J.Y. Rhee and Y.P. Lee, Rigorous approach on diffracted magneto-optical effects from polar and longitudinal gyrotropic gratings, Optics Express, 16, 16825, 2008 (Download)


22. Y.H. Lu, M.H. Cho, Y.P. Lee and J.Y. Rhee, Polarization-independent extraordinary optical transmission in one-dimensional metallic gratings with broad slits, Applied Physics Letters, 93, 061102, 2008 (Download)


23. W.C. Nam, M.H. Cho, and Y.P. Lee, Finite Difference Method for the Landau-Lifshitz equation, J. Korean Physical Soc., 53, 1626-1629, 2008 (Download)


24. Y.H. Lu, M.H. Cho, J.B. Kim, G.J. Lee, Y.P. Lee, and J.Y. Rhee, "Correlation between the diffracted magneto-optical Kerr effect and structure in gyrotropic gratings", J. Kor. Phys. Soc., 53, 2275-2278, 2008 (Download)


25. Y.H. Lu, M.H. Cho, J.B. Kim, Y.P. Lee, J.Y. Rhee and J.H. Lee, Control of diffracted magneto-optical enhancement in Ni gratings, IEEE Trans. Mag. 44, 3300, 2008 (Download)


26. Y.H. Lu, M.H. Cho, J.B. Kim, G.J. Lee, Y.P. Lee and J.Y Rhee, Magneto-optical enhancement through gyrotropic gratings, Optics Express, 16, 5378, 2008 (Download)


27. M.H. Cho, W. Cai and Y.P. Lee, Modeling of 2D photonic crystal with a boundary integral equation, Journal of Korean Physical Society, 51 1507, 2007 (Download)


28. M.H. Cho, W. Cai, T.-H. Her, Boundary integral equation method for photonic crystal fibers, Journal of Scientific Computing, 28, 263-278, 2006 (Download)


29. B. Benedict, M.H. Cho, J.E. Gishe, R. Marter, R. Strain, B. Tate, Energy consumption and interference in Bay Area Rapid Transit (BART) system, CRSC Technical report, CRSC-TR03-37, 2002 (Download)

Recent and Upcoming Talks and Conferences

1. SIAM Annual meeting 2018, Minisymposium (Co-organizer and Speaker) Portland, OR, July 12, 2018


2. SIAM Conference on Analysis and PDEs, Baltimore, MD, Dec. 9, 2017


3. Massachusetts HPC day, UMass Dartmouth, May 25, 2017


4. Scientific Computing Seminar, Brown University, April 14, 2017


5. Space Physics Seminar, University of Massachusetts Lowell, Sep. 9, 2016


6. SIAM Annual Meeting 2016, Minisymposium (Co-organizer and Speaker), Boston, MA July 12, 2016


7. University of Massachusetts Dartmouth, Computational Math Seminar, Apr. 4, 2016


8. University of Delaware, Numerical Analysis and PDE Seminar, Mar. 17, 2016


9. Numerical Simulation and Theoretical Analysis in Computational Physcs, Workshop at Peking University, Dec. 27, 2015, Beijing, China


10. The 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), Minisymposium, Beijing, China, Aug. 13, 2015


11. Dartmouth College, Math Colloqium Talk, Nov. 13, 2014


12. 2014 CMBS-NSF Conference:Fast Direct Solvers for Ellipic PDEs ,(Organizers : Alex Barnett , Min Hyung Cho, Adrianna Gillman , and Leslie Greengard), Dartmouth College, June 23-June 29, 2014


13. SIAM Annual Meeting 2014, Minisymposium (Co-organizer and Speaker), Chicago, IL July 7-July 11, 2014


14. Ehwa Womans University, Applied Seminar talk Seoul, Korea, Sep. 3, 2013


15. SIAM Annual Meeting 2013, Minisymposium (Co-organizer and Speaker), San Diego, CA July 8-July 12, 2013


16. Computational Science and Engineering (CSE13), Minisymposium, Boston, MA Feb. 25-Mar. 1, 2013


17. University of Massachusetts Dartmouth, Colloquium talk, Oct. 3, 2012


18. Scientific Computing and Applications (SCA) 2012, Contributed talk, Univ. of Nevada, Las Vegas, April 1-4, 2012


19. SIAM-South Eastern Atlantic Section (SIAM-SEAS) 2012, Minisymposium, Univ. of Alabama Huntsville, March 24-25, 2012


20. The 7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), Contributed talk, Vancouver, Canada, July 18-22, 2011


21. SIAM-South Eastern Atlantic Section (SIAM-SEAS) 2011, Minisymposium, Univ. of North Carolina at Charlotte, March 26-27, 2011


22. Computational Science and Engineering (CSE11), Minisymposium, Reno, NV, USA, Mar. 1, 2011