, contents download , C++ codes download | Chohong Min Professor Department of Mathematics Ewha Woman's University Seoul, Korea chohong(at)ewha.ac.kr |
59. Random batch method to Optimal Control with Variance Reduction, in preparation
58. Large Language Models with Homomorphic encryption, in preparation
57. EvalRound++ algorithm, in preparation
56. Density-Estimated Stein method, submitted 2024
55. EvalRound+ bootstrapping for CKKS, submitted 2024
54. J. Kim, C. Min, B. Lee, A super-convergence analysis of the Poisson solver with Octree grids and irregular domains, Journal of Computational Physics Volume 488, 1 September 2023, download
53. S. Kim, M. Park, J. Kim, T.Kim, C. Min(corresponding), EvalRound Algorithm in CKKS Bootstrapping, AsiaCrypt 2022 download
52. B. Lee, J. Kim, C. Min (corresponding), Super-convergence analysis on two symmetric Poisson solvers in octree grids, Journal of Computational Physics24 May 2022, download
51. A relaxation approach to layerwise determination of learning rates in deep neural networks 2023
50. S. Hong, H. Jeon, B. Lee and C. Min, Gradient Explosion Free Algorithm for Training Recurrent Neural Networks, J. KSIAM Vol.24, No.4, 331?350, 2020 download
49. B. Lee and C. Min, Optimal preconditioners on Solving the Poisson equation with Neumann boundary conditions Journal of Computational Physics Volume 433, 15 May 2021 download
48. W. Jung, E. Lee, N. Kim, S. Kim, K. Lee, C. Min, J. Cheon, J. Ahn, Accelerating Fully Homomorphic Encryption Through Architecture-Centric Analysis and Optimization, IEEE Access, July 12, 2021
47. Y. Park, B. Lee, C. Min, AN OPTIMAL CONTROL APPROACH TO CONFORMAL FLATTENING OF TRIANGULATED SURFACES J. Korean Soc. Ind. Appl. Math. Vol.23, No.4, 351?365, 2019 download
46. Jooyeon Choi, Chohong Min, and Byungjoon Lee, Mathematical Analysis on Information-Theoretic Metric Learning with Application to Supervised Learning, IEEE Access, August 28, 2019 download
45. Byungjoon Lee and Chohong Min, A Semi-implicit and Unconditionally Stable Approximation of the Surface Tension in Two-phase Fluids, Journal of Computational Physics, Volume 397, 15 November 2019 download
44. Jeongho Kim, Jinwook Jung, Yesom Park, Byungjoon Lee and Chohong Min, An Energy-stable and Second-order accurate method for Solving the Incompressible Navier-Stokes equations, J. Korean Soc. Ind. Appl. Math. Vol.23, No.2, 93?114, 2019 download
43. A Shape-Optimization approach to Image Compression in preparation
42. JOOYEON CHOI, BORA JEONG, YESOM PARK, JIWON SEO, CHOHONG MIN, AN OPTIMAL BOOSTING ALGORITHM BASED ON NONLINEAR CONJUGATE GRADIENT METHOD, J. KSIAM Vol.22, No.1, 1?13, 2018 download
41. Yesom Park, Jeongho Kim, Jinwook Jung, Euntaek Lee, Chohong Min, An Efficient MILU Preconditioning on Solving the Poisson equation with Neumann boundary condition, Journal of Computational Physics, Volume 356, March 2018, Pages 115-126 download
40. Byungjoon Lee and Chohong Min, An energy-stable method for solving the incompressible Navier?Stokes equations with non-slip boundary condition, Journal of Computational Physics, Volume 360, 1 May 2018, Pages 104-119 download
39. Heewon Kim, Jiwon Seo and Chohong Min, Mathematical Analysis on Software Defined Network, download
38. Jiwon Seo, Seung-yeal Ha, Chohong Min, Convergence Analysis in L1 norm On the Numerical Gradient of Shortley-Weller method, accepted in Journal of Scientific Computing download
37. Seung-yeal Ha, Jeongho Kim, Dongnam Ko, and Chohong Min, Remarks on the instability of the multi-dimensional Hamilton-Jacobi equation in total variation and l1-norm, submitted to Fast communications of Communications in Mathematical Sciences
36. Myoungho Yoon, Gangjoon Yoon and Chohong Min, On Solving the Singular System Arisen from Poisson Equation with Neumann Boundary Condition, Journal of Scientific Computing, October 2016, Volume 69, Issue 1, pp 391?405 download
35. Heewon Kim, Jiwon Seo, Bora Jeong and Chohong Min, An Experiment of the Malkus-Lorenz Waterwheel and Its Measurement by Image Processing, International Journal of Bifurcation and Chaos, Vol. 27, No. 1 (2017), January 2017, Vol. 27, No. 01 download
34. Moran Kim, Chohong Min, An elementary proof of the optimal recovery of thein plate spline radial basis function, J. KSIAM Vol.19, No.4, 409?416, 2015 download
33. Gangjoon Yoon, Jea-Hyun Park, Chohong Min, Convergence analysis on the Gibou-Min method for the Hodge projection, Communications in Mathematical Sciences, Volume 15 (2017), Number 5, 1211-1220 download
32. Gangjoon Yoon, Seick Kim and Chohong Min, A Stable And Convergent Method For Hodge Decomposition Of Fluid-Solid Interaction, Journal of Scientific Computing August 2018, Volume 76, Issue 2, pp 727?758 download
31. Chohong Min and Gangjoon Yoon, Convergence Analysis On Gibou-Min Method For The Scalar Field In Hodge-Helmholtz Decomposition, J. KSIAM Vol.18, No.4, 305-316, Dec 2014 download
30. Gangjoon Yoon and Chohong Min, Analyses on the finite difference method by Gibou et al. for Poisson equation, Journal of Computational Physics, Volume 280, 1 January 2015, Pages 184-194 download
29. Chohong Min and Gangjoon Yoon, A Simple Proof of Gustafsson s Conjecture in Case of Poisson Equation on Rectangular Domains, American Journal of Computational Mathematics Vol.5, No.2, 75-79 May 20, 2015 download
28. Gangjoon Yoon and Chohong Min, Convergence Analysis of the Standard Central Finite Difference Method for Poisson Equation, Journal of Scientific Computing, May 2016, Volume 67, Issue 2, pp 602-617 download
27. Gangjoon Yoon and Chohong Min, Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson Equation, Journal of Computational Physics, Volume 349, 15 November 2017, Pages 1-10 download
26. Gangjoon Yoon and Chohong Min, A review of the supra-convergences of Shortley-Weller method for Poisson equation, J. KSIAM, Mar 2014, 18,51-60 download
25. Myungjoo Kang and Chohong Min, A Heaviside function approach to fluid-structure interaction, v.19, no.2, 147-169, Journal of the Korean society of mathematical education series B, 2012, 413 download
24. Frederic Gibou, Chohong Min, and Ronald Fedkiw, High resolution sharp computational methods for elliptic and parabolic problems in complex geometries, Journal of Scientific Computing, February 2013, Volume 54, Issue 2-3, pp 369-413
23. Miles Detrixhe, Chohong Min, and Frederic Gibou,A Parallel Fast Sweeping Method for the Eikonal Equation, Journal of Computational Physics, Volume 237, 15 March 2013, Pages 46-55
22. Asdis Helgadottir, Yen Ting, Chohong Min, and Frederic Gibou, A robust symmetric second-order discretization of the Poisson equation with mixed Dirichlet-Neumann-Robin boundary conditions on arbitrary geometry,Computers and Fluids 121 (2015) 68?80
21. Chohong Min and Frederic Gibou, On the Performance of a Simple Parallel Implementation of the ILU-PCG for the Poisson Equation on Irregular Domains, 4531-4536, 231. Journal of Computational Physics, 2012 download download sample code in C++
20. Changsoo Park, Chohong Min, Myungjoo Kang, Surface reconstruction from scattered point data on octree, J. KSIAM Vol.16, No.1, 31-49, 2012 download
19. Chohong Min, Paper templates for triangulated surfaces, J. KSIAM 15:307-318, 2011download
18. Frederic Gibou and Chohong Min, Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions, Journal of Computational Physics, Volume 231, Issue 8, 20 April 2012, Pages 3246-3263 download
17. Chohong Min, SooJun Lee and Segoo Kim, A simple augment Jacobi method for Hermitian and skew-Hermitian matrices, Journal of the Korean society of mathematical education series B, 18:185-200,2011 downdload
16. Chohong Min, A new understanding of the QR method, KSIAM, volume 14, page 29-34, Mar 2010 download
15. Chohong Min, On reinitializing level set functions, Journal of Computational Physics, Volume 229, Issue 8, 20 April 2010, Pages 2764-2772,
14. Han Chen, Chohong Min and Frederic Gibou, A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate, Journal of Computational Physics, Volume 228, Issue 16, 1 September 2009, Pages 5803-5818,
13. Yen Ting Ng, Han Chen, Chohong Min and Frederic Gibou, Guidelines for Poisson Solvers on Irregular Domains with Dirichlet Boundary Conditions Using the Ghost Fluid Method, Journal of Scientific Computing, Volume 41, Number 2 , November 2009 download
12. Yen Ting Ng, Chohong Min and Frederic Gibou, An efficient fluid-solid coupling algorithm for single-phase flows, Journal of Computational Physics, Volume 228, Issue 23, 10 December 2009, Pages 8807-8829 download
11. Chohong Min and Frederic Gibou, Robust Second-Order Accurate Discretizations of Heaviside and Delta Functions, Journal of Computational Physics, Volume 227, Issue 22, 20 November 2008, Pages 9686-9695 download
10. Antoine du Chene, Chohong Min and Frederic Gibou, Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes , Journal of Scientific Computing, Volume 31 download
9. Gibou, F., Min, C.-H, and Ceniceros, H., Finite Difference Schemes for Incompressible Flows on Non-Graded Adaptive Cartesian Grids , Fluid Dynamics and Materials Processing, 3, 37-48 (2007).
8. Chohong Min and Frederic Gibou, Geometric integration over irregular domains with application to level-set methods Journal of Computational Physics, Volume 226, Issue 2, 1 October 2007, Pages 1432-1443 download
7. Chohong Min and Frederic Gibou, A second order accurate level set method on non-graded adaptive cartesian grids Journal of Computational Physics, Volume 225, Issue 1, 1 July 2007, Pages 300-321 download
6. Frederic Gibou, Chohong Min and Hector Ceniceros, Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids, Free Boundary Problems, International Series of Numerical Mathematics, 2007(proceeding)
5. Han Chen, Chohong Min, and Frederic Gibou, A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids, Journal of Scientific Computing, Volume 31, Number 1-2, May 2007,
4. Chohong Min and Frederic Gibou, A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids Journal of Computational Physics, Volume 219, Issue 2, 10 December 2006, Pages 912-929
3. Chohong Min, Frederic Gibou and Hector D. Ceniceros, A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids Journal of Computational Physics, Volume 218, Issue 1, 10 October 2006, Pages 123-140 download
2. Chohong Min, Local level set method in high dimension and codimension Journal of Computational Physics, Volume 200, Issue 1, 10 October 2004, Pages 368-382 download
1. Chohong Min, Simplicial isosurfacing in arbitrary dimension and codimension Journal of Computational Physics, Volume 190, Issue 1, 1 September 2003, Pages 295-310 download
, contents download , C++ codes download
ΰ Թ ʵ ִ , ̷а ǽ (ISBN:979-11-2510-237-3, )
, contents download
DIY : make the bunny yourself ! download
Print out the figures in A4(or letter) paper. Assemble the figure 1, figure 2 is added to figure 1, and figure 3 added then, and so on.
download software
download data(dinosaur scan)
Lorenz equation(teaching materials) : period doubling cascade(top left) and homoclinic explosion(top right).
Duffing equation : strange attractor changing in time(bottom left)
Chaotic water wheel(bottom right)
