Publications

Albums

• • Pohang AI Pung-Ryu, https://open.spotify.com/artist/2edMGR3ai1xtqmROKOlJXA

Books

• • 김명옥, 정재훈, 최영준 (Eds.), 국악의 과학적 이해와 인공지능 국악 I - 정악의 분석과 인공지능 방법론, 고등과학원 초학제연구프로그램 총서 (KIAS Transdisciplinary Research Series), 예솔, December 30, 2022. https://kias.re.kr/kias/bbs/B0000045/list.do?menuNo=408042&lang=en

  • 김명옥, 정재훈, 국악의 과학적 이해와 인공지능 국악 II - 정간보 데이터 구축을 위한 정악 모음집, 예솔, 2023, to be linked 

Special Journal Volumes

• • J. Hesthaven, J.-H. Jung, A. Tesdall (Eds.) Special issue on “Hyperbolic Problems: Theory and Computation”, Journal of Scientific Computing, Vol. 64, Issue 3, 2015.

  • T. Harkin, J.-H. Jung, H. Kunze, F. Li (Eds.) Special issue on “New York Conference on Applied Mathematics”, International Journal of Applied Nonlinear Science, Vol. 1, No. 2, 2014.

  • A. Tesdall, J.-H. Jung, I. Kotsireas, R. Melnik (Eds.) Special issue on “Computational Methods for Hyperbolic Problems”, Journal of Computational Science, Vol. 4, Issues 1 – 2 (Jan/March), 2013.

Peer Reviewed Journal Articles

• • J. Gu, D. Olmos-Liceaga, J.-H. Jung, A Numerical Study of WENO Approximations to Sharp Propagating Fronts for Reaction-Diffusion Systems, under review, https://arxiv.org/abs/2407.09393, 2024 

  • K. Park, X. Chen, D. Lee, J. Gu, J.-H. Jung, A third-order finite difference weighted essentially non-oscillatory scheme with shallow neural network, under review, 2024, https://arxiv.org/abs/2407.06333 

  • J. Kim, J. You, D. Lee , H. Kim, J.-H. Jung, Do Topological Characteristics Help in Knowledge Distillation?, International Conference on Machine Learning (ICML) 2024, Poster, 2024, https://icml.cc/virtual/2024/poster/35096

  • E. Ojeda, D. Olmos, J.-H. Jung, Stratified Sampling Algorithms for Machine Learning Methods in Solving Two-scale Partial Differential Equations, submitted, 2024, https://arxiv.org/abs/2405.15686

  • S. Chun, J.-H. Jung, Method of time map spatializing the dynamics of biological electric signal propagation and its applications to quick multidimensional simulation and deformed conductivity reconstruction, submitted, 2024

  • E. Heo, J.-H. Jung, Persistent homology of featured time series data and its applications, under review, https://arxiv.org/abs/2405.04796, 2024

  • J. You, E. Heo, J.-H. Jung, PHLP: Sole Persistent Homology for Link Prediction -- Interpretable Feature Extraction, under review,  https://arxiv.org/abs/2404.15225, 2024

  • J. Gu, X. Chen, J.-H. Jung, Explicit radial basis function Runge-Kutta methods, under review, 2024, [2403.08253] Explicit radial basis function Runge-Kutta methods (arxiv.org) 

  • M. Tran, D. Lee, J.-H. Jung, Machine composition of Korean music via topological data analysis and artificial neural network, 18:1, 20 - 41, 2024, https://arxiv.org/abs/2203.15468, Journal of Mathematics and Music, https://www.tandfonline.com/doi/abs/10.1080/17459737.2023.2197905?journalCode=tmam20

  • D. Lee, J.-H. Jung, A prediction algorithm with the mapper method based on DBSCAN and Giotto-TDA, Journal of KSIAM, .Vol.27, No.4, 324–341, 2023, https://ksiam.org/data/jornal/jksiam-2023v27p324.pdf

  • K. Kim, H. Lyu, J. Kim, J.-H. Jung, Supervised low-rank semi-nonnegative matrix factorization with frequency regularization for forecasting spatio-temporal data, 2024, to appear in Journal of Scientific Computing, DOI: 10.1007/s10915-024-02565-7, https://arxiv.org/abs/2311.08636

  • X. Chen, J. Gu, J.-H. Jung, A temporal weight analysis and novel nonlinear weights of weighted essentially non-oscillatory schemes for hyperbolic conservation laws, under review, arXiv:2310.05679v1, https://arxiv.org/abs/2310.05679v1, 2023

  • D. Lee, S. Lee, J.-H. Jung, The Effects of Topological Features on Convolutional Neural Networks -- An explanatory analysis via Grad-CAM, Machine Learning: Science and Technology (Mach. Learn.: Sci. Technol.) 4, 035019, 2023 https://doi.org/10.1088/2632-2153/ace6f3

  • J.-H. Jung, D. Olmos, A Chebyshev multidomain adaptive mesh method for reaction-diffusion equations, Applied Numerical Mathematics 190 (2023) 283–302. https://www.sciencedirect.com/science/article/pii/S0168927423001204

  • K. Kim, J.-H. Jung, Exact multi-parameter persistent homology of time-series data: one-dimensional reduction of multi-parameter persistence theory,  https://arxiv.org/abs/2211.03337, 2022. 

  • M.-O. Kim, E.-W. Heo, B.-C. Choi, J.-H. Jung, Topological Data Analysis of <Gyemyeongarakdodeuri> with Variable Weights Focusing on Sigimsae and Grace Note, Tongyang Ŭmak, Vol. 53, 351--388, 2023. (Korean), https://doi.org/10.33452/AMRI.2023.53.351

  • J.-H. Park, J.-W. Lee, E.-W. Heo, B.-C. Choi, J.-H. Jung, A Study on Melody Structure and Tone Clustering of <Utdodeuri> and <Yangcheongdodeuri> - Using Python-based Skeletal Tone Analysis Tool,  Tongyang Ŭmak, Vol. 53, 389--424, 2023. (Korean), https://doi.org/10.33452/AMRI.2023.53.389

  • S. Yeom, J.-H.  Jung, Weighted random cut forest algorithms for anomaly detections, arXiv:2202.01891,  http://arxiv.org/abs/2202.01891, 2022. 

  • J. Gu, X. Chen, J.-H. Jung, Fifth-order weighted essentially non-oscillatory schemes with new Z-type nonlinear weights for hyperbolic conservation laws, Computers and Mathematics with Applications, Vol. 134, 140-166, 3/15/2023, 2023, https://doi.org/10.1016/j.camwa.2023.01.009 

https://arxiv.org/abs/2112.03094

• • D. Lee, M. Tran,  J.-H. Jung, Geometric structure of Korean music and AI music composition, Tongyang Ŭmak, Vol. 51, 63--98, 2022. (Korean)

  • M. Tran, B. Choi, M. Kim, J.-H. Jung, Topological data analysis of Korean music I －Structural effects of Sikimse for Dodeuri and Sujechon, Studies in Korean Music, Vol. 71, 157-186, 2022 (Korean)

  • M. Johnson, J.-H. Jung, Instability of the Betti Sequence for Persistent Homology and a Stabilized Version of the Betti Sequence, JKSIAM 25(4), 296--311, 2021, https://arxiv.org/abs/2109.09218. 

  • J. Gu, J.-H. Jung, Adaptive radial basis function and scaled Euler methods to initial value problems for higher order convergence, submitted, 2021. 

  • M. Tran, C. Park, J.-H. Jung, Topological Data Analysis of Korean Music in Jeongganbo: A Cycle Structure, arXiv:2103.06620, 2021, Journal of Mathematics and Music, https://doi.org/10.1080/17459737.2022.2164626

  • Christopher Bresten, Jihoon Kweon, Xinjuan Chen, Young-Hak Kim,  Jae-Hun Jung, Preprocessing of general stenotic vascular flow data for topological data analysis,  submitted, https://doi.org/10.1101/2021.01.07.425693, 2021. 

  • M. Johnson, J.-H. Jung, The Interconnectivity Vector: A Finite-Dimensional Vector Representation of Persistent Homology, submitted, 2020, http://arxiv.org/abs/2011.11579. 

  • D. Lee, K. Lee, J.-H. Jung, A Note on a Generalized 3D Circle Fitting Method  for VLBI Reference Point Determination, submitted, 2020. 

  • J. Gu, J.-H. Jung, Consistent, non-oscillatory  RBF finite difference solutions  to boundary layer problems for any degree on uniform grids, Applied Mathematics Letters, 115, 106944, 2021.  https://doi.org/10.1016/j.aml.2020.106944

  • J. Gu, J.-H. Jung, Adaptive Gaussian radial basis function methods for initial value problems: Construction  and comparison with adaptive multiquadric radial basis function methods,  Journal of Computational and Applied Mathematics, Volume 381, January 1, 113036, 2021. https://doi.org/10.1016/j.cam.2020.113036. 

  • J. Nicponski and J.-H. Jung, Topological data analysis of vascular disease: I A Theoretical framework, Frontiers in Applied Mathematics and Statistics, 6:34. doi: 10.3389/fams.2020.00034, 2020.

  • R. E. Tuzun and J.-H. Jung, Iterative spectral mollification and conjugation for successive edge detection, Lecture Notes in Computational Science and Engineering, Sherwin, S.J., Moxey, D., Peiro, J., Vincent, P.E., Schwab, C. (Eds.), Vol. 134, pp. 573--585, 2020. DOI 10.1007/978-3-030-39647-3

  • J. Gu and J.-H. Jung, An improved error inhibiting block one-step method with radial basis function approximation for ODEs, Lecture Notes in Computational Science and Engineering, Sherwin, S.J., Moxey, D., Peiro, J., Vincent, P.E., Schwab, C. (Eds.), Vol. 134, pp. 107--118, 2020. DOI 10.1007/978-3-030-39647-3 

  • D. Lee, C. Bresten, K. Youn, K. Seo, J.-H. Jung, Model discrepancy using  topological data analysis and convolutional neural network analysis, International Journal of Modern Physics C, Vol. 31, No 08, 2050117, 2020. DOI: 10.1142/S012918312050117X

  • Z. Song, J.-H. Jung, The exact formula of the optimal penalty parameter value of the spectral penalty method for differential equations, Applied Mathematics and Computation, 381, 125313, 2020. 

  • J. Gu, J.-H. Jung, Adaptive radial basis function methods for initial value problems, Journal of Scientific Computing, 82, 47, 2020. https://doi.org/10.1007/s10915-020-01140-0. 

  • H. Duan, X. Chen, J.-H. Jung, On the consistency of the finite difference approximation with the Riemann-Liouville fractional derivative for $0 < \alpha < 1$, Applied Numerical Mathematics, 153, 35--51, 2020. 

  • C. Bresten, J.-H. Jung, Detection of gravitational waves using topological data analysis and convolutional neural network: An improved approach, arXiv:1910.08245, 2019, submitted 2020. 

  • B.-C. Shin and J.-H. Jung, Proper orthogonal decomposition of discontinuous solutions with the Gegenbauer post-processing, J. Korean Soc. Ind. Appl. Math. 23 (4), 301--327, 2019. 

  • J. Nicponski and J.-H. Jung, Topological data analysis of vascular disease: I A Theoretical framework, BioRxiv, http://doi.org/10.1101/637090

  • R. Shi, J.-H. Jung, F. Schweser, Two-dimensional local Fourier image reconstruction via domain decomposition Fourier continuation method, PLOS ONE, 14(1), 2019.

  • J. Nicponski and J.-H. Jung, A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition, Journal of Scientific Computing, Vol. 76 (1) 189--215, 2018. 

  • X. Chen, J.-H. Jung, and A. Gelb, Finite Fourier frame approximation using the inverse polynomial reconstruction method, Journal of Scientific Computing, 76(2), 1127-1147, 2018. 

  • R. Shi and J.-H. Jung, A domain decomposition Fourier continuation method for enhanced  L_1 regularization using the sparsity of edges in reconstructing Fourier data, Journal of Scientific Computing, 74 (2), 851–871, 2018. 

  • H. Yang, J. Guo and J.-H. Jung, Schwartz duality of the Dirac delta function for the Chebyshev collocation approximation to the fractional advection equation, Applied Mathematics Letters, 64, 205–212, 2017. 

  • J. Guo and J.-H. Jung, A numerical study of the local monotone polynomial edge detection for the hybrid WENO method, Journal of Computational and Applied Mathematics, Vol. 321, 232--245, 2017. 

  • J. Guo and J.-H. Jung, Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters,  Journal of Scientific Computing, Vol. 70 (2) 551--575, 2017. 

  • J. Guo and J.-H. Jung, A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method, Applied Numerical Mathematics, Vol. 112, 27-50, 2017. 

  • D. Jeong, J. Shin, Y. Li, Y. Choi, J.-H. Jung, S. Lee, J. Kim, Numerical analysis of energy-minimizing wavelengths of equilibrium stats for diblock copolymers, Current Applied Physics, Vol. 14, issue 9, pp. 1263 - 1272, 2014. 

  • J. Buli, J.-H. Jung, and D. Chakraborty, A remark on the multi-domain hybrid method for calculating the power-law decay of the gravitational radiation waveforms with the analytic radiation boundary conditions, International Journal of Applied Nonlinear Science, Vol. 1, No. 2, pp. 104 - 121, 2014.

  • D. Wang, J.-H. Jung, and G. Biondini, Detailed comparison of numerical methods for the perturbed sine-Gordon equation with impulsive forcing, Journal of Engineering Mathemaitcs, vol. 87, issue 1, pp. 167 - 186, 2014. 

  • D. Chakraborty, A. Peleg and J.-H. Jung, Stable long-distance propagating and on-off switching of colliding soliton sequences with dissipative interaction, Physical Review A 88, 023845-1 - 023845-6, 2013.

  • D. Chakraborty and J.-H. Jung, A quantitative study of nonlinear Schrodinger equation with singular potential of any derivative orders, Applied Mathematics Letters, 26(8), 860 – 866, 2013.

  • J.-H. Jung, J. Lee, K. R. Hoffmann, T. Dorazio, B. E. Pitman, A rapid interpolation method of vascular CFD solutions with spectral collocation methods, Journal of Computational Science, vol. 4, pp. 101-110, 2013 (DOI 10.1016/j.jocs.2012.06.001). 

  • D. Chakraborty, J.-H. Jung, and E. Lorin, Efficient determination of critical parameters of nonlinear Schr\"{o}dinger equation with point-like potential using generalized polynomial chaos methods, Applied Numerical Mathematics, vol. 72, pp. 115 - 130, 2013.  

  • D. Chakraborty and J.-H. Jung, Efficient determination of the critical parameters and the statistical quantities for Klein-Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods, 2012, Journal of Computational Science, vol. 4, pp. 46-61, 2013 (DOI 10.1016/j.jocs.2012.04.002).

  • X. Chen and J.-H. Jung, Matrix stability of multiquadric radial basis function methods for hyperbolic problems with uniform centers, DOI: 10.1007/s10915-011-9526-y, Journal of Scientific Computing, vol 51(3), pp. 683 - 702, 2012.

  • D. Chakraborty, J.-H. Jung, and G. Khanna, A multi-domain hybrid method for head-on collision of black-holes in particle limit, arXiv:1103.1551v1, International Journal of Modern Physics C, Vol. 22, No. 5, 517-541, 2011. 

  • B.-C. Shin and J.-H. Jung, Spectral collocation and radial basis function methods for one-dimensional interface problems, Applied Numerical Mathematics, Volume 61, Issue 8, August 2011, Pages 911-928, doi:10.1016/j.apnum.2011.03.005, 2011. 

  • J.-H. Jung and Y. Song, On a polynomial chaos method for differential equations with singular sources, International Journal for Uncertainty Quantification, Vol. 1(1), 77-98, 2011. 

  • S. Gottlieb, J.-H. Jung and S. Kim, A review of David Gottlieb's work on the resolution of the Gibbsp phenomenon, Communications in Computational Physics, 9(3), pp. 497-519, 2011. 

  • J.-H. Jung, A hybrid method for the resolution of the Gibbs phenomenon, Hesthaven, J. S.; Ronquist, E. M. (Eds.), Lecture Notes in Computational Science and Engineering, 2011, Volume 76, 219-227, 2011 (1st Ed.). 

  • J.-H. Jung, S. Gottlieb and S. Kim, Iterative adaptive RBF methods for detection of edges in two dimensional functions, Applied Numerical Mathematics, doi:10.1016/j.apnum.2010.08.006. 61 (2011) 77-91.

  • J.-H. Jung and W. Stefan, "A simple regularization of the polynomial interpolation for the resolution of the Runge phenomenon", Journal of Scientific Computing, doi: 10.1007.s10915-010-9397-7, Volume 46, Number 2, 225-242, 2011. 

  • J.-H. Jung, S. Gottlieb, S. Kim, C. Bresten, D. Higgs, Recovery of high order accuracy in radial basis function approximation for discontinuous problems, Journal of Scientific Computing, 45(1-3), pp. 359-381, 2010.

  • J.-H. Jung and W.-S. Don, Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources, Advances in Applied Mathematics and Mechanics, 1(6), pp. 769-780, 2009. 

  • W. S. Don, D. Gottlieb and J.-H. Jung, A weighted multi-domain spectral penalty method th inhomogeneous grid for supersonic injective cavity flows, Communications in Computational Physics, 5(5), pp. 986-1011, 2009.

  • J.-H. Jung, A Note on the Spectral Collocation Approximation of Some Differential Equations with Singular Source Terms, Journal of Scientific Computing, 39(1), pp.49-66, 2009. 

  • J.-H. Jung and V. Durante, An iteratively adaptive multiquardic radial basis function method for detection of local jump discontinuities, Applied Numerical Mathematics, , 59 (7), pp. 1449-1466, 2009. 

  • J.-H. Jung, G. Khanna and I. Nagle, A spectral collocation approximation of one-dimensional head-on collisions of black holes International Journal of Modern Physics C., 20(11), pp. 1827-1848, 2009

  • C. L. Bresten and J.-H. Jung, A study on the numerical convergence of the discrete logistic map, Nonlinear Sciences and Numerical Simulations,14,pp. 3076-3088, 2009. 

  • S. Gottlieb and J.-H. Jung, Numerical issues in the implementation of high order polynomial multi-domain penalty spectral Galerkin methods for hyperbolic conservation laws, Communications in Computational Physics, 5 (2-4), 600-619, 2009. 

  • J.-H. Jung and B. D. Shizgal, On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon, Journal of Computational Physics, Vol. 224, pp. 477-488, 2007.

  • J.-H. Jung, A note on the Gibbs phenomenon with multiquadric radial basis functions, Applied Numerical Mathematics, Vol. 57, pp.213-239, 2007. 

  • J. Rosen, J.-H. Jung and G. Khanna, Instabilities in numerical loop quantum cosmology, Classical and quantum gravity, Vol. 23, pp. 7075-7084, 2006.

  • J.-H. Jung and B. D. Shizgal, Inverse polynomial reconstruction of two dimensional Fourier images, Journal of Scientific Computing, Vol. 25(3), pp.367-399, 2005. 

  • J.-H. Jung and B. D. Shizgal, Generalization of the Inverse Polynomial Reconstruction Method in the Resolution of the Gibbs Phenomena, Journal of Computational and Applied Mathematics, Vol. 172(1), pp. 131-151, 2004. 

  • B. D. Shizgal and J.-H. Jung, Towards the resolution of the Gibbs phenomenon, Journal of Computational and Applied Mathematics, Vol. 161(1), pp. 41-65, 2003. 

  • W.-S. Don, D. Gottlieb, and J.-H. Jung, Multi-domain Spectral Method for Supersonic Reactive Flows, Journal of Computational Physics, Vol. 192(1), pp. 325-354, 2003. https://www.sciencedirect.com/science/article/pii/S0021999103003978

  • J.-H. Jung and C. Park, Evolution of primordial magnetic fields: Initial morphology and strength, Journal of Korean Astronomical Society, Vol. 28, pp.109-117, 1995.

Others

• J. S. Hesthaven, J.-H. Jung, A. Tesdall, Preface to Special Issue of Hyperbolic Problems: Theory and Computation, Journal of Scientific Computing, Vol. 64, Issue 3, pp. 587 –- 590, 2015.

• A. Harkin, J.-H. Jung, H. Kunze, F. Li, Preface to Special issue of “New York Conference on Applied Mathematics”, International Journal of Applied Nonlinear Science, Vol. 1, No. 2, pp. 101--103, 2014. 

• A. Tesdall, J.-H. Jung, I. Kotsireas, R. Melnik, Preface to Special Issue of Computational Methods for Hyperbolic Problems, Journal of Computational Science, 4, pp. 1--2, 2013. 

• B. Brimkov, J.-H. Jung, J. Kotary, X. Li, and J. Zheng, A spectral and radial basis function hybrid method for visualizing vascular flows, Computational Modeling of Objects Represented in Images, Giamberardina et al. Eds. CRC Press, pp. 205-208, 2012.

• Hoffmann KR, Dorazio T, Lee JW, Jung J.-H, Pitman EB, Walczak A, Chen X., Determination of 3D flow velocity distributions from single-plane angiograms, Proc. SPIE 7961, Medical Imaging 2011: Physics of Medical Imaging, 79613S (March 16, 2011) Paper number 7961-137. Honorable Mention Poster Award.

• W.-S. Don, D. Gottlieb, and J.-H. Jung, Multi-domain Spectral Method for Supersonic Reactive Flows, ICASE Report No. 2002-29, NASA/CR-2002-211763, 2002.

• W.-S. Don, D. Gottlieb and J.-H. Jung, Multi-domain spectral method approach to supersonic combustion of recessed cavity flame-holders, JANAAF Proceedings, 2002.