Publications
- J.-H. Jung, A. Solomonoff, B. Shizgal, "On the statistical filter method and the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon", to be submitted.
- J.-H. Jung and E. Kansa, Radial basis function Galerkin method for hyperbolic conservation laws. in preparation.
- J.-H. Jung and B. D. Shizgal, Time-dependent Milne problem, in preparation.
- J.-H. Jung, Two-dimensional edge detection based on the iterative adaptive multi-quadric radial basis function method, in preparation.
- C. Bresten, S. Gottlieb, D. Higgs, and J.-H. Jung, A RBF-WENO hybrid method for nonlinear hyperbolic conservation laws, in preparation.
- C. Bresten, S. Gottlieb, D. Higgs, and J.-H. Jung, Recovery of high order accuracy in radial basis function approximation for discontinuous problems, submitted, 2008.
- W. S. Don, D. Gottlieb and J.-H. Jung, A weighted multi-domain spectral penalty method
with 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 the discontinuous solution of singularly perturbed differential equations in one dimension , Journal of Scientific Computing, 10.1007/s10915-008-9249-x, 2008.
- J.-H. Jung and V. Durante, An iteratively adaptive multiquardic radial basis function method for detection of local jump discontinuities, 2008, to appear in Applied Numerical Mathematics.,doi:10.1016/j.apnum.2008.09.002
- J.-H. Jung, G. Khanna and I. Nagle, A spectral collocation approximation of one-dimensional head-on collisions of black holes, submitted to Classical and Quantum Gravity.
- C. L. Bresten and J.-H. Jung,
A study on the numerical convergence of the discrete logistic map, Nonlinear Sciences and Numerical Simulations, doi:10.1016/j.cnsns.2008.11.009.
- 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. Also 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.
- 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.