Publications

  1. 2023 An adaptive RKHS regularization for Fredholm integral equations, Fei Lu and Miao-Jung Yvonne Ou,(Submitted) [Link]
  2. 2023 An efficient and energy decaying discontinuous Galerkin method for Maxwell’s equations for the Cole-Cole dispersive medium, Jiangming Xie, Maojun Li and Miao-Jung Yvonne Ou, IMA Journal on Numerical Analysis (In Revision) [Link]
  3. 2023 Homogenization for the acoustics of poroelastic composites with microscale interfacial slip, Miao-jung Yvonne Ou and Silvia Jimenez Bolanos, arXiv:2111.12010 [math.AP], SIAM J. Applied Mathematics (To appear) [Link]
  4. 2022 Time domain numerical modeling of wave propagation in poroelastic media with Chebyshev rational approximation of the fractional attenuation, Jiangming Xie, Maojun Li and Miao-Jung Yvonne Ou, Mathematical Methods in Applied Sciences (M2AS), special issue on the occasion of Robert P. Gilbert’s 90-th birthday (In press)) [Link]
  5. 2022 On the time-domain full waveform inversion for time-dissipative and dispersive poroelastic media, Miao-jung Yvonne Ou, Petr Plechac and Jiangming Xie, Applicable Analysis, Vol. 101(11), pp.3895-3911, special issue on the occasion of Robert P. Gilbert’s 90-th birthday) [Link]
  6. 2022 Span of regularization for solution of inverse problems with application to magnetic resonance relaxometry of the brain, Chuan Bi, Miao-jung Yvonne Ou, Mustapha, Bouhrara and Richard G. Spencer, Scientific Reports, 2022, Vol. 12(1), 20194) [Link]
  7. 2022 On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory, Miao-Jung Yvonne Ou and Annemarie Luger, Springer AWM series ”Research in the Mathematics of Materials Science” (In press)) [Link]
  8. 2022 On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules, Annemarie Luger and Miao-Jung Yvonne Ou, Springer AWM series ”Research in the Mathematics of Materials Science” (In press)) [Link]
  9. 2022 Integral Representation of Hydraulic Permeability, Chuan Bi, Miao-Jung Yvonne Ou and Shangyou Zhang, Proceedings of the Royal Society of Edinburgh Section A: Mathematics) [Link]
  10. 2019 A Discontinuous Galerkin method for wave propagation in orthotropic poroelastic media with memory terms, Miao-Jung Yvonne Ou, Jiangming Xie and Liwei Xu, Journal of Computational Physics, 2019, Vol. 397, 108825.) [Link]
  11. 2019 On the augmented Biot-JKD equations with Pole-Residue representation of the dynamic tortuosity, Miao-Jung Y. Ou and Hugo Woerdeman, Operator Theory: Advances and Applications, Springer Nature, 2019, Vol. 272, pp. 341-362) [Link]
  12. 2018 Mathematical quantification of the impact of microstructure on the various effective properties of bones Miao-Jung Yvonne Ou, Annalisa De Paolis and Luis Cardoso, Encyclopedia of Biomedical Engineering, Elsevier, 2018, pp.143-153.) [Link]
  13. 2016 MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation, Robert J. Harrison, Gregory Beylkin, Florian A. Bischoff, Justus A. Calvin, George I. Fann, Jacob Fosso-Tande, Diego Galindo, Jeff R. Hammond, Rebecca Hartman-Baker, Judith C. Hill, Jun Jia, Jakob S. Kottmann, Miao-Jung Y. Ou, J. Pei, Laura E. Ratcliff, Matthew G. Reyter, Adam C. Richie-Halford,
    Nichols A. Romero, Hideo Sekino, William A. Shelton, Bryan E. Sundahl, W. Scott Thornton, Edward F. Valeev, Alvaro Vesquez-Mayagoitia, Nicholas Vence and Yukina Yokoi, SIAM Journal on Scientific Computing, Vol. 38(5), S123-S142, 2016) [Link]
  14. 2015 Mathematical model for bone mineralization, Svetlana V. Komarova, Lee Safranek, Jay Gopalakrishnan, Miao-Jung Y. Ou, Marc D. McKee, Monzur Murshed, Frank Rauch and Erica Zuhr, Frontiers in Cell and Developmental Biology, Vol. 3(51), 2015) [Link]
  15. 2015 Time-harmonic analytic solution for an acoustic plane wave scattering off an isotropic poroelastic cylinder: convergence and form function, Miao-Jung Y. Ou and Grady Lemoine, Journal of Compuational Acoustics, Vol 23, Pages 1550017, 2015) [Link]
  16. 2014 On reconstruction of dynamic permeability and tortuosity from data at distinct frequencies, Miao-Jung Y. Ou, Inverse Problems, Vol. 30(9), 095002, 2014) [Link]
  17. 2014 Finite Volume modeling of poroelastic-fluid wave propagation with mapped grids, Grady Lemoine and Miao-Jung Y. Ou, SIAM Journal on Scientific Computing, Vol. 36(3), B396-426, 2014) [Link]
  18. 2013 Near Field Representations of the Acoustic Green’s Function in a Shallow Ocean with Infinite Elastic Seabed, R. P. Gilbert and M-J. Ou, Journal of Computational Acoustics, DOI: 10.1142/S0218396X13500185) [Link]
  19. 2013 The kinetics of vitamin D3 in the osteoblastic cell, Buchanan JL, Gilbert R, Ou Y, Nohe A, Schaefer R. Bulletin of Mathematical Biology, 75(9):1612-35. doi: 10.1007/s11538-013-9861-2.) [Link]
  20. 2013 Lamb waves in a poroelastic plate, with R. Gilbert and Doo-Sung Lee, Journal of Computational Acoustics, Vol. 21, 1350001 [25 pages] DOI: 10.1142/S0218396X1350001X) [Link]
  21. 2013 High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media, with Grady Lemoine and Randall LeVeque, SIAM Journal on Scientific Computing, Vol. 35(1), pp.B176-206, 2013.) [Link]
  22. 2012 A Quantitative Ultrasound Model of Bone with Blood as the Interstitial Fluid, with R. Gilbert and P. Guyenne, Mathematical and Computer Modelling, 55(9-10), pp. 2029–2039, 2012.) [Link]
  23. 2012 Two-parameter integral representation formula for the effective elastic moduli of two-phase composites, Complex Variables and Elliptic Equations, 57(2-4), pp. 411-424, 2012.) [Link]
  24. 2012 Transfer functions for a one-dimensional fluid-poroelastic system subject to an ultrasonic pulse, with J. Buchanan and R. Gilbert, Nonlinear analysis: Real World Applications, 13(3), pp. 1030-
    1043, 2012) [Link]
  25. 2012 On nonstandard Pad ́e approximants suitable for effective properties of two-phase composite materials, Miao-jung Ou, Applicable Analysis, 91(1), pp. 173-187, 2012.) [Link]
  26. 2011 Wavelet decomposition of transmitted ultrasound wave through a 1-D muscle-bone system, with J. Buchanan and R. Gilbert, Journal of Biomechanics, 44(2), pp. 352-358, 2011.) [Link]
  27. 2011 Poroelastic Wave Propagation Using CLAWPACK, with G.I. Lemoine and R. J. LeVeque, Proceedings of Waves Conference (2011), pp. 173-176.) [Link]
  28. 2011 Recovery of the parameters of cancellous bone by inversion of effective velocities, and transmission and reflection coefficients, with J. Buchanan and R. Gilbert, Inverse Problems 27(12) 125006, 62011.) [Link]
  29. 2009 Fast multiresolution methods for density functional theory in nuclear physics, G I Fann, J Pei, RJ Harrison, J Jia, J. Hill, M. Ou, W. Nazarewicz, W A Shelton and N. Schunck, Journal of Physics: Conference Series 180 (2009) 012080, July.) [Link]
  30. 2008 Dehomogenization: reconstruction of moments of the spectral measure of the composite, E. Cherkaev and M-J. Ou, Inverse Problems 065008, Vol.24(6), December 2008. [Link]
  31. 2007 Isovector fields and similarity solutions for 1-D linear poroelasticity, M-J. Ou, Applicable Analysis 86(12), pp. 1509-1528, 2007.) [Link]
  32. 2007 On the representation formula for well-ordered elastic composites: a convergence of measure approach, M-J. Ou, Math. Methods in Applied Sciences 30, pp. 851-860.) [Link]
  33. 2007 Near Field Representations of the Acoustic Green  ̃Os Function in a Shallow Ocean with Fluid-like Seabed, R. P. Gilbert and M-J. Ou, Georgian Journal of Mathematics, special issue for Fichera’s 85th birthday, Vol.14(1):109-122, 2007.) [Link]
  34. 2006 On the integral representation formula for a two-component composite, M-J. Ou and E. Cherkaev, Mathematical Methods in the Applied Sciences, 29(6), pp. 655-664, 2006.) [Link]
  35. 2003 Acoustic Wave Propagation in a Composite of Two Different Poro-elastic Materials with a Very Rough Periodic Interface: a Homogenization Approach, R. P. Gilbert and M-J. Ou, Intl. J. for Multi-scale Computational Engineering, 1(4), pp. 431-440, 2003.) [Link]
  36. 2003 A Uniqueness Theorem of the 3-dimensional Acoustic Scattering Problem in a Two-layered Waveguide with a Fluid-like Seabed, R.P. Gilbert and M-J. Ou, Journal of Computational Acoustics 11(4), pp. 535-549, December 2003) [Link]
  37. 2001 The unknown object problem in a sea with sloping bottom, Gilbert, RP and Miao-Jung, OU and Yongzhi, S., Applicable Analysis, 78(3-4), pp. 497–511, 2001.) [Link]
  38. 2001 The Seamount on a Sloping Seabed Problem, Gilbert, RP and Miao-Jung, OU and Yongzhi, S., Differential Equations and Nonlinear Mechanics, Springer series on Mathematics and Its Applications Vol. 528, Chap.9, pp. 101-112, 2001, Springer, Ed. Vajravelu, Kuppalapalle.) [Link]
  39. 2001 The Bivariate Contouring Problem, T. Grandine, B. Craciun, N. Heitmann, B. Ingalls, Q. LeGia, M-J. Ou and Y. R. Tsai, IMA Preprint Series, No. 1752-3, 12 pages.) [Link]
  40. 2000 Implementation of The Method of Variation of Boundaries for Three-dimensional Objects in a Waveguide, J.L. Buchanan, R.P. Gilbert and M. Ou, Mathematical and Numerical Aspects of Wave Propagation, 5th International Conference on Mathematical and Numerical Aspects of Wave
    Propagation, SIAM, pp. 482-488, 2000.) [Link]