· Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations , Y. Chen, T. Y. Hou, and Y. Wang, MMS , 21 (3) , 849-883. arXiv:2105.04080 … · Thomas Y. Hou Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA, 91125 USA Email: hou@acm.caltech.edu Brian R. Wetton … · Instructor Prof. Thomas Y. Hou Office Hour: By Appointment. Campus Office: Second Floor, Steel House. · semi-implicit scheme. This method was first developed by Hou et al. [12,13] to remove the stiffness from interfacial flo with surface tension. The coupling between the elastic boundary and … · The accuracy of multiscale finite element methods for high-contrast elliptic interface problems by C.C. Chu, I. Graham and T.Y. Hou, in preparation, will be posted here soon (see the … · Email addresses: mulinch@caltech.edu (Mulin Cheng), hou@cms.caltech.edu (Thomas Y. Hou), zhangzw@caltech.edu (Zhiwen Zhang) Preprint submitted to Elsevier Friday 8 th February, … · JIAN DENG, THOMAS Y. HOU, AND XINWEI YU Mathematics, California Institute of Technology, Pasadena, C ich can prevent finite time blowup of the 3D incompressible Euler … · In Hou-Li [20], a sufficient condition has been given for initial values ad-mitting a Clebsch representation. Here we will generalize their result to initial values admitting a Generalized Clebsch … · The coefficients c, and d, are functions of derivatives of w and y at the point y; which decay rapidly at infinity if w E S. Comparing the expansion corresponding to } < q < 1 with the … · E-mail addresses: casey_miller@unc.edu (C.T. Miller), clint@ices.utexas.edu (C.N. Dawson), matthew.w.farthing@usace.army.mil (M.W. Farthing), hou@cms. caltech.edu (T.Y. Hou), …