Articles in Scholarly Journals [Incomplete List]

1. Synchronization-based image edge detection
   Europhysics Letters (EPL), vol. 59, no. 6, pp. 814–819, 2007
2. Temperature-modulated bioluminescence tomography
   Optics Express, vol. 14, no. 17, p. 7852, 2006
3. Recent Advances in Mathematical Methods for the Analysis of Biomedical Image
   International Journal of Biomedical Imaging, vol. 2006, Article ID 70578, 1 pages, 2006
4. Evolution-Operator-Based Single-Step Method for Image Processing
   International Journal of Biomedical Imaging, vol. 2006, Article ID 83847, 27 pages, 2006
5. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
   Journal of Computational Physics, vol. 213, no. 1, pp. 1–30, 2006
6. A windowed Fourier pseudospectral method for hyperbolic conservation laws
   Journal of Computational Physics, vol. 214, no. 2, pp. 466–490, 2006
7. On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
   Journal of Computational Physics, vol. 219, no. 1, pp. 228–246, 2006
8. Mathematical analysis of the wavelet method of chaos control
   Journal of Mathematical Physics, vol. 47, no. 8, p. 082701, 2006
9. Bistable chaos without symmetry in generalized synchronization
   Physical Review E, vol. 71, no. 3, 2005
10. Phase synchronization between two essentially different chaotic systems
    Physical Review E, vol. 72, no. 1, 2005
11. Lai et al. Reply
    Physical Review Letters, vol. 94, no. 21, 2005
12. DSC analysis of free-edged beams by an iteratively matched boundary method
    Journal of Sound and Vibration, vol. 284, no. 1-2, pp. 487–493, 2005
13. Option valuation by using discrete singular convolution
    Applied Mathematics and Computation, vol. 167, no. 1, pp. 383–418, 2005
14. Local spectral time splitting method for first- and second-order partial differential equations
    Journal of Computational Physics, vol. 206, no. 2, pp. 727–780, 2005
15. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates
    Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 23-26, pp. 2483–2506, 2004
16. Exact solutions for buckling and vibration of stepped rectangular Mindlin plates
    International Journal of Solids and Structures, vol. 41, no. 1, pp. 279–294, 2004
17. High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
    Journal of Computational Physics, vol. 200, no. 1, pp. 60–103, 2004
18. Tensor product derivative matching for wave propagation in inhomogeneous media
    Microwave and Optical Technology Letters, vol. 43, no. 1, pp. 69–77, 2004
19. DSC-Ritz method for the free vibration analysis of Mindlin plates
    International Journal for Numerical Methods in Engineering, vol. 62, no. 2, pp. 262–288, 2004
20. Controllability of flow turbulence
    Physical Review E, vol. 69, no. 6, 2004
21. Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation
    SIAM Journal on Scientific Computing, vol. 25, no. 1, p. 127, 2003
22. Conjugate filter approach for shock capturing
    Communications in Numerical Methods in Engineering, vol. 19, no. 2, pp. 99–110, 2003
23. DSC solution for flow in a staggered double lid driven cavity
    International Journal for Numerical Methods in Engineering, vol. 57, no. 2, pp. 211–234, 2003
24. Numerical solution of the Helmholtz equation with high wavenumbers
    International Journal for Numerical Methods in Engineering, vol. 59, no. 3, pp. 389–408, 2003
25. Shock-capturing with natural high-frequency oscillations
    International Journal for Numerical Methods in Fluids, vol. 41, no. 12, pp. 1319–1338, 2003
26. Characterizing the spatiotemporal dynamics of turbulence
    Computer Physics Communications, vol. 155, no. 2, pp. 77–91, 2003
27. High resolution conjugate filters for the simulation of flows
    Journal of Computational Physics, vol. 189, no. 1, pp. 159–179, 2003
28. DSC time-domain solution of Maxwell's equations
    Journal of Computational Physics, vol. 189, no. 2, pp. 427–453, 2003
29. Numerical methods for the generalized Zakharov system
    Journal of Computational Physics, vol. 190, no. 1, pp. 201–228, 2003
30. Conjugate filters with spectral-like resolution for 2D incompressible flows
    Computers & Fluids, vol. 32, no. 6, pp. 777–794, 2003
31. Complete synchronization and generalized synchronization of one-way coupled time-delay systems
    Physical Review E, vol. 68, no. 3, 2003
32. Controlling flow turbulence
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 13, no. 1, p. 64, 2003
33. A note on the numerical solution of high-order differential equations
    Journal of Computational and Applied Mathematics, vol. 159, no. 2, pp. 387–398, 2003
34. Geometry and boundary control of pattern formation and competition
    Physica D: Nonlinear Phenomena, vol. 176, no. 1-2, pp. 19–43, 2003
35. Jump process for the trend estimation of time series
    Computational Statistics & Data Analysis, vol. 42, no. 1-2, pp. 219–241, 2003
36. A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations
    Journal of Computational and Applied Mathematics, vol. 145, no. 1, pp. 183–188, 2002
37. Conjugate filter approach for solving Burgers' equation
    Journal of Computational and Applied Mathematics, vol. 149, no. 2, pp. 439–456, 2002
38. Transition from intermittency to periodicity in lag synchronization in coupled Rössler oscillators
    Physical Review E, vol. 65, no. 3, 2002
39. Synchronization and information processing by an on-off coupling
    Physical Review E, vol. 65, no. 5, 2002
40. Coherence resonance near the Hopf bifurcation in coupled chaotic oscillators
    Physical Review E, vol. 66, no. 3, 2002
41. Comparison of the discrete singular convolution algorithm and the Fourier pseudospectral method for solving partial differential equations
    Computer Physics Communications, vol. 143, no. 2, pp. 113–135, 2002
42. Shock capturing by anisotropic diffusion oscillation reduction
    Computer Physics Communications, vol. 144, no. 3, pp. 317–342, 2002
43. DSC ANALYSIS OF RECTANGULAR PLATES WITH NON-UNIFORM BOUNDARY CONDITIONS
    Journal of Sound and Vibration, vol. 255, no. 2, pp. 203–228, 2002
44. A NOVEL APPROACH FOR THE ANALYSIS OF HIGH-FREQUENCY VIBRATIONS
    Journal of Sound and Vibration, vol. 257, no. 2, pp. 207–246, 2002
45. Numerical solution of incompressible flows by discrete singular convolution
    International Journal for Numerical Methods in Fluids, vol. 38, no. 8, pp. 789–810, 2002
46. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm
    International Journal for Numerical Methods in Engineering, vol. 55, no. 8, pp. 913–946, 2002
47. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 2: Applications
    International Journal for Numerical Methods in Engineering, vol. 55, no. 8, pp. 947–971, 2002
48. Exact Solutions for Vibration of Multi-Span Rectangular Mindlin Plates
    Journal of Vibration and Acoustics, vol. 124, no. 4, p. 545, 2002
49. Synchronization of Single-Side Locally Averaged Adaptive Coupling and Its Application to Shock Capturing
    Physical Review Letters, vol. 86, no. 16, pp. 3542–3545, 2001
50. Fourier–Bessel analysis of patterns in a circular domain
    Physica D: Nonlinear Phenomena, vol. 151, no. 2-4, pp. 83–98, 2001
51. Lagrange wavelets for signal processing
    IEEE Transactions on Image Processing, vol. 10, no. 10, pp. 1488–1508, 2001
52. Journal of Mathematical Chemistry, vol. 30, no. 1, pp. 83–107, 2001
53. A NEW BENCHMARK QUALITY SOLUTION FOR THE BUOYANCY-DRIVEN CAVITY BY DISCRETE SINGULAR CONVOLUTION
    Numerical Heat Transfer: Part B: Fundamentals, vol. 40, no. 3, pp. 199–228, 2001
54. Journal of Physics A: Mathematical and General, vol. 33, no. 27, pp. 4935–4953, 2000
55. Journal of Physics A: Mathematical and General, vol. 33, no. 47, pp. 8577–8596, 2000
56. Discrete singular convolution for the sine-Gordon equation
    Physica D: Nonlinear Phenomena, vol. 137, no. 3-4, pp. 247–259, 2000
57. The study of quasi wavelets based numerical method applied to Burgers' equations
    Applied Mathematics and Mechanics, vol. 21, no. 10, pp. 1099–1110, 2000
58. Generalized reaction–diffusion equations
    Chemical Physics Letters, vol. 303, no. 5-6, pp. 531–536, 1999
59. Generalized symmetric interpolating wavelets
    Computer Physics Communications, vol. 119, no. 2-3, pp. 194–218, 1999
60. Journal of Mathematical Chemistry, vol. 25, no. 2/3, pp. 235–244, 1999
61. Generalized Perona-Malik equation for image restoration
    IEEE Signal Processing Letters, vol. 6, no. 7, pp. 165–167, 1999
62. Numerical solutions of nonlinear wave equations
    Physical Review E, vol. 59, no. 1, pp. 1274–1277, 1999
63. Integrating the Kuramoto-Sivashinsky equation in polar coordinates: Application of the distributed approximating functional approach
    Physical Review E, vol. 60, no. 3, pp. 3353–3360, 1999
64. Discrete singular convolution for the solution of the Fokker–Planck equation
    The Journal of Chemical Physics, vol. 110, no. 18, p. 8930, 1999
65. Interpolating distributed approximating functionals
    Physical Review E, vol. 57, no. 5, pp. 6152–6160, 1998
66. Lagrange-distributed approximating-functional approach to wave-packet propagation: Application to the time-independent wave-packet reactant-product decoupling method
    Physical Review A, vol. 57, no. 5, pp. 3309–3316, 1998
67. Chain relations of reduced distribution functions and their associated correlation functions
    The Journal of Chemical Physics, vol. 108, no. 2, p. 706, 1998
68. An application of distributed approximating functional-wavelets to reactive scattering
    The Journal of Chemical Physics, vol. 108, no. 17, p. 7065, 1998
69. A robust and reliable approach to nonlinear dynamical problems
    Computer Physics Communications, vol. 111, no. 1-3, pp. 87–92, 1998
70. Distributed approximating functional approach to Burgers' equation in one and two space dimensions
    Computer Physics Communications, vol. 111, no. 1-3, pp. 93–109, 1998
71. Wavelets and distributed approximating functionals
    Computer Physics Communications, vol. 112, no. 1, pp. 1–6, 1998
72. Wavelet-distributed approximating functional method for solving the Navier-Stokes equation
    Computer Physics Communications, vol. 115, no. 1, pp. 18–24, 1998
73. Lagrange distributed approximating functional method for the solution of the Schrödinger equation
    Chemical Physics Letters, vol. 284, no. 1-2, pp. 56–62, 1998
74. Shannon–Gabor wavelet distributed approximating functional
    Chemical Physics Letters, vol. 287, no. 1-2, pp. 119–124, 1998
75. About the influence of lattice vibrations on the diffusion of methane in a cation-free LTA zeolite
    Chemical Physics Letters, vol. 296, no. 3-4, pp. 253–258, 1998
76. Equal reaction rates for all recombination pathways
    The Journal of Chemical Physics, vol. 106, no. 4, p. 1463, 1997
77. Distributed approximating functional approach to the Fokker–Planck equation: Eigenfunction expansion
    The Journal of Chemical Physics, vol. 106, no. 12, p. 5216, 1997
78. Distributed approximating functional approach to the Fokker–Planck equation: Time propagation
    The Journal of Chemical Physics, vol. 107, no. 8, p. 3239, 1997
79. Lagrange Distributed Approximating Functionals
    Physical Review Letters, vol. 79, no. 5, pp. 775–779, 1997
80. Burgers’ equation with high Reynolds number
    Physics of Fluids, vol. 9, no. 6, p. 1853, 1997
81. Numerical method for the nonlinear Fokker-Planck equation
    Physical Review E, vol. 56, no. 1, pp. 1197–1206, 1997
82. Discrete basis representation of Ursell operators
    Physical Review E, vol. 54, no. 3, pp. 2414–2418, 1996
83. Moderately dense gas quantum kinetic theory: Aspects of pair correlations
    The Journal of Chemical Physics, vol. 105, no. 8, p. 3057, 1996
84. Moderately dense gas quantum kinetic theory: Transport coefficient expressions
    The Journal of Chemical Physics, vol. 105, no. 8, p. 3066, 1996
85. Survival Probability for the Yamaguchi Potential
    Annals of Physics, vol. 252, no. 2, pp. 336–356, 1996
86. Short-time behaviour of the quantum survival probability
    Europhysics Letters (EPL), vol. 35, no. 4, pp. 247–252, 1996