default search action
Thomas Y. Hou 0001
Thomas Yizhao Hou
Person information
- affiliation: Caltech, Computing & Mathematical Sciences Department, Pasadena, CA, USA
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
showing all ?? records
2020 – today
- 2024
- [i28]Ziming Liu, Yixuan Wang, Sachin Vaidya, Fabian Ruehle, James Halverson, Marin Soljacic, Thomas Y. Hou, Max Tegmark:
KAN: Kolmogorov-Arnold Networks. CoRR abs/2404.19756 (2024) - [i27]Thomas Y. Hou:
Nearly self-similar blowup of generalized axisymmetric Navier-Stokes and Boussinesq equations. CoRR abs/2405.10916 (2024) - [i26]Yixuan Wang, Jonathan W. Siegel, Ziming Liu, Thomas Y. Hou:
On the expressiveness and spectral bias of KANs. CoRR abs/2410.01803 (2024) - 2023
- [j55]Thomas Y. Hou:
Potential Singularity of the 3D Euler Equations in the Interior Domain. Found. Comput. Math. 23(6): 2203-2249 (2023) - [j54]Thomas Y. Hou:
Potentially Singular Behavior of the 3D Navier-Stokes Equations. Found. Comput. Math. 23(6): 2251-2299 (2023) - [j53]Thomas Y. Hou, De Huang
:
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients. Multiscale Model. Simul. 21(1): 218-268 (2023) - [j52]Yifan Chen
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations. Multiscale Model. Simul. 21(3): 849-883 (2023) - [i25]Jiajie Chen, Thomas Y. Hou:
Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics. CoRR abs/2305.05660 (2023) - 2022
- [j51]Yifan Chen
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data. Multiscale Model. Simul. 20(1): 188-219 (2022) - [i24]Haydn Maust, Zongyi Li
Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators. CoRR abs/2211.15960 (2022) - [i23]Yifan Chen, Thomas Y. Hou, Yixuan Wang:
Exponentially Convergent Multiscale Finite Element Method. CoRR abs/2212.00823 (2022) - [i22]Thomas Y. Hou, Shumao Zhang:
Potential Singularity of the Axisymmetric Euler Equations with Cα Initial Vorticity for A Large Range of α. Part I: the 3-Dimensional Case. CoRR abs/2212.11912 (2022) - 2021
- [j50]Yifan Chen
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions. Multiscale Model. Simul. 19(2): 980-1010 (2021) - [c1]Shumao Zhang, Pengchuan Zhang, Thomas Y. Hou:
Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference. ICML 2021: 12632-12641 - [i21]Thomas Y. Hou, De Huang:
Potential Singularity Formation of 3D Axisymmetric Navier-Stokes Equations with Degenerate Variable Diffusion Coefficients. CoRR abs/2102.06663 (2021) - [i20]Yifan Chen, Thomas Y. Hou, Yixuan Wang:
Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations. CoRR abs/2105.04080 (2021) - [i19]Shumao Zhang, Pengchuan Zhang, Thomas Y. Hou:
Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference. CoRR abs/2105.05489 (2021) - [i18]Thomas Y. Hou:
Potential singularity of the 3D Euler equations in the interior domain. CoRR abs/2107.05870 (2021) - [i17]Thomas Y. Hou:
The nearly singular behavior of the 3D Navier-Stokes equations. CoRR abs/2107.06509 (2021) - [i16]Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang:
Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold. CoRR abs/2107.09207 (2021) - 2020
- [j49]Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization. SIAM J. Math. Data Sci. 2(3): 840-871 (2020) - [i15]Yifan Chen, Thomas Y. Hou, Yixuan Wang:
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions. CoRR abs/2007.07418 (2020) - [i14]Yifan Chen, Thomas Y. Hou:
Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data. CoRR abs/2010.04199 (2020) - [i13]Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang:
Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization. CoRR abs/2012.15467 (2020)
2010 – 2019
- 2019
- [j48]Thomas Y. Hou, De Huang
A Fast Hierarchically Preconditioned Eigensolver Based on Multiresolution Matrix Decomposition. Multiscale Model. Simul. 17(1): 260-306 (2019) - [j47]Thomas Y. Hou, Dingjiong Ma, Zhiwen Zhang
A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach. Multiscale Model. Simul. 17(2): 826-853 (2019) - [j46]Guo Luo, Thomas Y. Hou:
Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study. SIAM Rev. 61(4): 793-835 (2019) - [i12]Thomas Y. Hou, Zhongjian Wang, Zhiwen Zhang
A class of robust numerical methods for solving dynamical systems with multiple time scales. CoRR abs/1909.04289 (2019) - [i11]Thomas Y. Hou, Zhenzhen Li
Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization. CoRR abs/1911.12518 (2019) - [i10]Yifan Chen, Thomas Y. Hou:
The subsampled Poincar\' e inequality for functional recovery. CoRR abs/1912.08173 (2019) - 2018
- [j45]Thomas Y. Hou, Tianling Jin, Pengfei Liu
Potential Singularity for a Family of Models of the Axisymmetric Incompressible Flow. J. Nonlinear Sci. 28(6): 2217-2247 (2018) - [j44]Thomas Y. Hou, De Huang
An Adaptive Fast Solver for a General Class of Positive Definite Matrices Via Energy Decomposition. Multiscale Model. Simul. 16(2): 615-678 (2018) - [i9]Thomas Y. Hou, De Huang, Ka Chun Lam, Ziyun Zhang:
A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition. CoRR abs/1804.03415 (2018) - 2017
- [j43]Thomas Y. Hou, Zuoqiang Shi:
Sparse Time-Frequency Decomposition for Multiple Signals with Same Frequencies. Adv. Data Sci. Adapt. Anal. 9(4): 1750010:1-1750010:17 (2017) - [j42]Thomas Y. Hou, Feng-Nan Hwang
An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients. J. Comput. Phys. 336: 375-400 (2017) - [j41]Thomas Y. Hou, Qin Li
A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices. Multiscale Model. Simul. 15(1): 410-444 (2017) - [j40]Thomas Y. Hou, Qin Li
Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs. Multiscale Model. Simul. 15(2): 661-695 (2017) - 2016
- [j39]Eric T. Chung, Yalchin Efendiev, Thomas Y. Hou:
Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods. J. Comput. Phys. 320: 69-95 (2016) - [j38]Hayden Schaeffer
An Accelerated Method for Nonlinear Elliptic PDE. J. Sci. Comput. 69(2): 556-580 (2016) - 2015
- [j37]Thomas Y. Hou, Pengfei Liu:
A heterogeneous stochastic FEM framework for elliptic PDEs. J. Comput. Phys. 281: 942-969 (2015) - [j36]Thomas Y. Hou, Qin Li
Sparse + low-energy decomposition for viscous conservation laws. J. Comput. Phys. 288: 150-166 (2015) - [j35]Zhiwen Zhang
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients. Multiscale Model. Simul. 13(1): 173-204 (2015) - [j34]Chunguang Liu, Zuoqiang Shi, Thomas Y. Hou:
On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data. Multiscale Model. Simul. 13(3): 790-811 (2015) - [i8]Thomas Y. Hou, Zuoqiang Shi:
Extracting a shape function for a signal with intra-wave frequency modulation. CoRR abs/1501.04704 (2015) - [i7]Chunguang Liu, Thomas Y. Hou, Zuoqiang Shi:
On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data. CoRR abs/1501.04707 (2015) - [i6]Thomas Y. Hou, Zuoqiang Shi:
Sparse Time-Frequency decomposition for multiple signals with same frequencies. CoRR abs/1507.02037 (2015) - 2014
- [j33]Peyman Tavallali, Thomas Y. Hou, Zuoqiang Shi:
Extraction of Intrawave Signals Using the Sparse Time-Frequency Representation Method. Multiscale Model. Simul. 12(4): 1458-1493 (2014) - [j32]Guo Luo, Thomas Y. Hou:
Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation. Multiscale Model. Simul. 12(4): 1722-1776 (2014) - 2013
- [j31]Thomas Y. Hou, X. Hu, Faiza Hussain:
Multiscale modeling of incompressible turbulent flows. J. Comput. Phys. 232(1): 383-396 (2013) - [j30]Mulin Cheng, Thomas Y. Hou, Zhiwen Zhang
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations. J. Comput. Phys. 242: 753-776 (2013) - [j29]Mulin Cheng, Thomas Y. Hou, Zhiwen Zhang
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms. J. Comput. Phys. 242: 843-868 (2013) - [j28]Yalchin Efendiev, Juan Galvis
Generalized multiscale finite element methods (GMsFEM). J. Comput. Phys. 251: 116-135 (2013) - [j27]Mulin Cheng, Thomas Y. Hou, Mike P. Yan, Zhiwen Zhang
A Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients. SIAM/ASA J. Uncertain. Quantification 1(1): 452-493 (2013) - [i5]Yalchin Efendiev, Juan Galvis, Thomas Y. Hou:
Generalized Multiscale Finite Element Methods (GMsFEM). CoRR abs/1301.2866 (2013) - [i4]Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali:
Convergence of a data-driven time-frequency analysis method. CoRR abs/1303.7048 (2013) - [i3]Thomas Y. Hou, Zuoqiang Shi:
Sparse Time-Frequency decomposition by adaptive basis pursuit. CoRR abs/1311.1163 (2013) - [i2]Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali:
Sparse Time Frequency Representations and Dynamical Systems. CoRR abs/1312.0202 (2013) - 2011
- [j26]Thomas Y. Hou, Zuoqiang Shi:
Adaptive Data Analysis via Sparse Time-Frequency Representation. Adv. Data Sci. Adapt. Anal. 3(1-2): 1-28 (2011) - [j25]Thomas Y. Hou, Xue-Cheng Tai
Introduction. Adv. Data Sci. Adapt. Anal. 3(1-2) (2011)
2000 – 2009
- 2009
- [j24]Thomas Y. Hou, Mike P. Yan, Zhaohua Wu
A Variant of the EMD Method for Multi-Scale Data. Adv. Data Sci. Adapt. Anal. 1(4): 483-516 (2009) - 2008
- [j23]Thomas Y. Hou, Zuoqiang Shi:
An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. J. Comput. Phys. 227(20): 8968-8991 (2008) - [j22]Thomas Y. Hou, Zuoqiang Shi:
Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. J. Comput. Phys. 227(21): 9138-9169 (2008) - [j21]Thomas Y. Hou, Danping Yang, Hongyu Ran:
Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier-Stokes Equations. Multiscale Model. Simul. 6(4): 1317-1346 (2008) - [i1]Thomas Y. Hou, Zuoqiang Shi:
Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations. CoRR abs/0801.2398 (2008) - 2007
- [j20]Thomas Y. Hou, Valentin G. Stredie, Theodore Yao-Tsu Wu:
Mathematical modeling and simulation of aquatic and aerial animal locomotion. J. Comput. Phys. 225(2): 1603-1631 (2007) - [j19]Thomas Y. Hou, Ruo Li:
Computing nearly singular solutions using pseudo-spectral methods. J. Comput. Phys. 226(1): 379-397 (2007) - 2006
- [j18]Shaoqiang Tang
A pseudo-spectral multiscale method: Interfacial conditions and coarse grid equations. J. Comput. Phys. 213(1): 57-85 (2006) - [j17]Thomas Y. Hou, Wuan Luo, Boris Rozovskii, Haomin Zhou:
Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. J. Comput. Phys. 216(2): 687-706 (2006) - [j16]Paul Dostert, Yalchin Efendiev, Thomas Y. Hou, Wuan Luo:
Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. J. Comput. Phys. 217(1): 123-142 (2006) - [j15]Yalchin Efendiev, Victor Ginting
Accurate multiscale finite element methods for two-phase flow simulations. J. Comput. Phys. 220(1): 155-174 (2006) - [j14]Thomas Y. Hou, Ruo Li:
Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations. J. Nonlinear Sci. 16(6): 639-664 (2006) - [j13]Thomas Y. Hou, Andrew Westhead, Danping Yang:
A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media. Multiscale Model. Simul. 5(4): 1087-1127 (2006) - [j12]Thomas Y. Hou, Congming Li:
On Global Well-Posedness of the Lagrangian Averaged Euler Equations. SIAM J. Math. Anal. 38(3): 782-794 (2006) - [j11]Yalchin Efendiev, Thomas Y. Hou, Wuan Luo:
Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models. SIAM J. Sci. Comput. 28(2): 776-803 (2006) - 2005
- [j10]Mark S. Alber, Thomas Yizhao Hou, James A. Glazier
Special Issue on Multiscale Modeling in Biology. Multiscale Model. Simul. 3(2) (2005) - [j9]Thomas Yizhao Hou, Petros Koumoutsakos
Special Section on Multiscale Modeling in Materials and Life Sciences. Multiscale Model. Simul. 4(1): 213-214 (2005) - 2003
- [j8]Zhiming Chen, Thomas Y. Hou:
A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math. Comput. 72(242): 541-576 (2003) - 2001
- [j7]Thomas Y. Hou, Pingwen Zhang:
A new stabilizing technique for boundary integral methods for water waves. Math. Comput. 70(235): 951-976 (2001) - 2000
- [j6]Yalchin R. Efendiev, Thomas Y. Hou, Xiao-hui Wu:
Convergence of a Nonconforming Multiscale Finite Element Method. SIAM J. Numer. Anal. 37(3): 888-910 (2000)
1990 – 1999
- 1999
- [j5]Thomas Y. Hou, Xiao-hui Wu, Zhiqiang Cai:
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comput. 68(227): 913-943 (1999) - [j4]Russel E. Caflisch, Thomas Y. Hou, John S. Lowengrub:
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Math. Comput. 68(228): 1465-1496 (1999) - 1998
- [j3]Héctor D. Ceniceros
Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. Math. Comput. 67(221): 137-182 (1998) - 1993
- [j2]Thomas Y. Hou, John S. Lowengrub, Michael J. Shelley:
The Convergence of an Exact Desingularization for Vortex Methods. SIAM J. Sci. Comput. 14(1): 1-18 (1993) - 1991
- [j1]Tony F. Chan, Thomas Y. Hou:
Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems. SIAM J. Sci. Comput. 12(6): 1471-1479 (1991)
Coauthor Index
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from ,
, and
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and
to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-11-11 21:25 CET by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by: