Hou, Thomas Y.
Overview
Works:  41 works in 102 publications in 1 language and 2,344 library holdings 

Genres:  Conference papers and proceedings Academic theses 
Roles:  Author, Editor, Thesis advisor 
Publication Timeline
.
Most widely held works by
Thomas Y Hou
Multiscale phenomena in complex fluids : modeling, analysis, and numerical simulation by
Thomas Y Hou(
)
14 editions published in 2009 in English and held by 1,456 WorldCat member libraries worldwide
MultiScale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of minicourses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences", which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multiscale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids
14 editions published in 2009 in English and held by 1,456 WorldCat member libraries worldwide
MultiScale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of minicourses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences", which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multiscale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids
Multiscale finite element methods : theory and applications by
Yalchin Efendiev(
)
22 editions published between 2008 and 2009 in English and held by 530 WorldCat member libraries worldwide
"This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations. The book is selfcontained, starts from the basic concepts and proceeds to the latest developments in the field. Each chapter of the book starts with a simple introduction and the description of the proposed methods as well as with motivating examples. Numerical examples demonstrating the significance of the proposed methods are presented in each chapter." "The book addresses mathematical and numerical issues in multiscale finite element methods and connects them to realworld applications. Narrative introduction provides a key to the book's organization and its scope. To make the presentation accessible to a broader audience, the analyses of the methods are given in the last chapter."Jacket
22 editions published between 2008 and 2009 in English and held by 530 WorldCat member libraries worldwide
"This expository book surveys the main concepts and recent advances in multiscale finite element methods. This monograph is intended for the broader audiences including engineers, applied scientists and those who are interested in multiscale simulations. The book is selfcontained, starts from the basic concepts and proceeds to the latest developments in the field. Each chapter of the book starts with a simple introduction and the description of the proposed methods as well as with motivating examples. Numerical examples demonstrating the significance of the proposed methods are presented in each chapter." "The book addresses mathematical and numerical issues in multiscale finite element methods and connects them to realworld applications. Narrative introduction provides a key to the book's organization and its scope. To make the presentation accessible to a broader audience, the analyses of the methods are given in the last chapter."Jacket
Hyperbolic problems : theory, numerics, applications : proceedings of the Ninth International Conference on Hyperbolic Problems
held in CalTech, Pasadena, March 2529, 2002 by
Thomas Y Hou(
Book
)
11 editions published between 2002 and 2013 in English and held by 173 WorldCat member libraries worldwide
The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 2530, 2002. The conference was the ninth meeting in the biannual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.P. Liu, B. Perthame, C.W. Shu, B. Sjgreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multiscale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multicomponent fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in timedependent problems governed by hyperbolic equations
11 editions published between 2002 and 2013 in English and held by 173 WorldCat member libraries worldwide
The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 2530, 2002. The conference was the ninth meeting in the biannual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.P. Liu, B. Perthame, C.W. Shu, B. Sjgreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multiscale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multicomponent fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in timedependent problems governed by hyperbolic equations
Effect of finite computational domain on turbulence scaling law in both physical and spectral spaces by
Thomas Y Hou(
Book
)
4 editions published in 1998 in English and held by 89 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 89 WorldCat member libraries worldwide
Quantum transport : modelling analysis and asymptotics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy,
September 1116, 2006 by
Grégoire Allaire(
)
5 editions published in 2008 in English and held by 29 WorldCat member libraries worldwide
The CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the stateoftheart survey of the multiscale analysis, modelling and simulation of transport phenomena. The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field
5 editions published in 2008 in English and held by 29 WorldCat member libraries worldwide
The CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the stateoftheart survey of the multiscale analysis, modelling and simulation of transport phenomena. The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field
Numerical analysis of multiscale problems by
Ivan G Graham(
)
5 editions published between 2012 and 2014 in English and held by 13 WorldCat member libraries worldwide
The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, highfrequency wave propagation, atomisticcontinuum modeling and highdimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multiphase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current stateoftheart in the numerical℗¡ analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields
5 editions published between 2012 and 2014 in English and held by 13 WorldCat member libraries worldwide
The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, highfrequency wave propagation, atomisticcontinuum modeling and highdimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multiphase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current stateoftheart in the numerical℗¡ analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields
Multiscale Phenomena in Complex Fluid by
Thomas Y Hou(
)
1 edition published in 2014 in English and held by 10 WorldCat member libraries worldwide
MultiScale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of minicourses from Shanghai Summer School on Analysis and Numerics in Modern Sciences, which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multiscale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids
1 edition published in 2014 in English and held by 10 WorldCat member libraries worldwide
MultiScale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of minicourses from Shanghai Summer School on Analysis and Numerics in Modern Sciences, which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multiscale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids
Singularity formation in threedimensional vortex sheets by Gang Hu(
)
2 editions published in 2001 in English and held by 2 WorldCat member libraries worldwide
"In this thesis, we investigate both theoretically and numerically the singularity formation and long time existence of threedimensional vortex sheets. For the theoretical work, we divide it into two parts. In the first part, we study the early time singularity formation and the local form of the vortex sheet in the neighborhood of a singularity near the singularity time. We show that under a special set of coordinates, the threedimensional vortex sheet can be viewed as a twodimensional vortex sheet along certain space curves. As a result, the study of singularity formation of a threedimensional vortex sheet can be related to that of the corresponding twodimensional vortex sheet. And the singular behavior of these two problems is very similar. Moreover, by performing a transformation in the interface variables and deriving leading order asymptotic approximations for the evolution of these transformed variables, we show that the KelvinHelmholtz instability is a result of the coupling of two of these three variables to the leading order. This observation simplifies significantly our singularity analysis for threedimensional vortex sheets and allows us to reveal clearly the nature of the curvature singularity in the threedimensional vortex sheet equation. In the second part of our theoretical work, we prove the long time existence of the threedimensional vortex sheet problem for analytic initial conditions near equilibrium. Moreover, the existence time is almost optimal if the initial perturbation over the equilibrium is sufficiently small. We have performed careful numerical study to validate our theoretical results. Wellresolved numerical study of the threedimensional vortex sheet equation is difficult due to the complexity in evaluating the interface velocity. To alleviate this difficulty, we introduce two model equations. An important feature of these models equations is that they can be expressed in terms of convolution operators and consequently they can be computed efficiently by Fast Fourier Transform. Moreover, we show by asymptotic analysis that these model equations preserve the singularity type of the full equations. Our analysis also suggests that the model equations generate the same local form of curvature singularity near the physical singularity time as that of the full equations. Our detailed numerical computations on the twodimensional problem show that the model equation captures all the essential singularity behavior of the full vortex sheet equation. Our calculations based on the threedimensional model equation provide convincing evidences that a curvature singularity develops in finite time in the threedimensional vortex sheet. And the type of the singularity is of order 1/2 in the mean curvature."
2 editions published in 2001 in English and held by 2 WorldCat member libraries worldwide
"In this thesis, we investigate both theoretically and numerically the singularity formation and long time existence of threedimensional vortex sheets. For the theoretical work, we divide it into two parts. In the first part, we study the early time singularity formation and the local form of the vortex sheet in the neighborhood of a singularity near the singularity time. We show that under a special set of coordinates, the threedimensional vortex sheet can be viewed as a twodimensional vortex sheet along certain space curves. As a result, the study of singularity formation of a threedimensional vortex sheet can be related to that of the corresponding twodimensional vortex sheet. And the singular behavior of these two problems is very similar. Moreover, by performing a transformation in the interface variables and deriving leading order asymptotic approximations for the evolution of these transformed variables, we show that the KelvinHelmholtz instability is a result of the coupling of two of these three variables to the leading order. This observation simplifies significantly our singularity analysis for threedimensional vortex sheets and allows us to reveal clearly the nature of the curvature singularity in the threedimensional vortex sheet equation. In the second part of our theoretical work, we prove the long time existence of the threedimensional vortex sheet problem for analytic initial conditions near equilibrium. Moreover, the existence time is almost optimal if the initial perturbation over the equilibrium is sufficiently small. We have performed careful numerical study to validate our theoretical results. Wellresolved numerical study of the threedimensional vortex sheet equation is difficult due to the complexity in evaluating the interface velocity. To alleviate this difficulty, we introduce two model equations. An important feature of these models equations is that they can be expressed in terms of convolution operators and consequently they can be computed efficiently by Fast Fourier Transform. Moreover, we show by asymptotic analysis that these model equations preserve the singularity type of the full equations. Our analysis also suggests that the model equations generate the same local form of curvature singularity near the physical singularity time as that of the full equations. Our detailed numerical computations on the twodimensional problem show that the model equation captures all the essential singularity behavior of the full vortex sheet equation. Our calculations based on the threedimensional model equation provide convincing evidences that a curvature singularity develops in finite time in the threedimensional vortex sheet. And the type of the singularity is of order 1/2 in the mean curvature."
Convergence of particle methods for Euler and Boltzmann equations with oscillatory solutions by
Thomas Y Hou(
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
Convergence of a reformulated Boundary integral method for two fluid interfaces with surface tension by Héctor Daniel Ceniceros Angulo(
Book
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
We also give an alternative formulation and a scheme for water waves which is more efficient numerically than the method for the general twodensity fluid interface applied to this special case. We state a convergence theorem and outline its proof. Bottom topography is also considered
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
We also give an alternative formulation and a scheme for water waves which is more efficient numerically than the method for the general twodensity fluid interface applied to this special case. We state a convergence theorem and outline its proof. Bottom topography is also considered
Upscaling for twophase flows in porous media by Andrew Westhead(
Book
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
Upscaling immiscible twophase flows in an adaptive frame by Theofilos Strinopoulos(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
Multiscale numerical methods for the singularly perturbed convectiondiffusion equation by
Peter J Park(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
The multiscale finite element method (MsFEM) and its applications by Yalchin R Efendiev(
Book
)
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide
Mathematical modeling and simulation of aquatic and aerial animal locomotion by Valentin Gabriel Stredie(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
Numerical Methods for the Computation of Propagating Phase Boundaries(
Book
)
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
The purpose of the proposed research is to develop new numerical methods for computing propagating phase boundaries in solids undergoing phase transformations, such as the austenite martensite phase transitions. We are especially interested in understanding how small scale structures, such as tip splitting and cusp formation, are dynamically generated in the process of energy minimization. Another objective of this project is to develop innovative numerical schemes for computing multiscale solutions on a coarse finite element grid. The purpose of this study is to study scattering and wave propagation in strongly heterogeneous media
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
The purpose of the proposed research is to develop new numerical methods for computing propagating phase boundaries in solids undergoing phase transformations, such as the austenite martensite phase transitions. We are especially interested in understanding how small scale structures, such as tip splitting and cusp formation, are dynamically generated in the process of energy minimization. Another objective of this project is to develop innovative numerical schemes for computing multiscale solutions on a coarse finite element grid. The purpose of this study is to study scattering and wave propagation in strongly heterogeneous media
A Multiscale Finite Element Method for Computing Wave Propagation and Scattering in Heterogeneous Media(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
The objective of this study is to develop a multiscale/multiresolution method for computing wave propagation and scattering in strongly heterogeneous media. The important feature of this method is that does not require resolving the small scale details, yet it can capture their effect on the large scales. The central idea is to incorporate the small scale information into the finite element base functions, so that the effect of small scales on the large scales is correctly captured. This feature allows us to break a large scale computation into many small and independent pieces, which can be carried out in perfect parallel. As a consequence, the size of the computation is drastically reduced. This gives us the possibility to attack problems with many spatial and time scales
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
The objective of this study is to develop a multiscale/multiresolution method for computing wave propagation and scattering in strongly heterogeneous media. The important feature of this method is that does not require resolving the small scale details, yet it can capture their effect on the large scales. The central idea is to incorporate the small scale information into the finite element base functions, so that the effect of small scales on the large scales is correctly captured. This feature allows us to break a large scale computation into many small and independent pieces, which can be carried out in perfect parallel. As a consequence, the size of the computation is drastically reduced. This gives us the possibility to attack problems with many spatial and time scales
MultiScale Finite Element Approximation for Transport in Heterogeneous Porous Media(
Book
)
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
The main objective of this study is to develop an efficient multiscale coarse grid method which can be used as a competitive algorithm in studying composite materials and flow transport in strongly heterogeneous porous media. On one hand, we have explored the possibility of using adaptive mesh to reduce the modeling error introduced by the traditional moment average technique. On the other hand, we found that in the case of high aspect ratio permeability tensor, the modeling error in ignoring high order moments (3rd order or higher) could be very large. To overcome this difficulty, we have investigated an alternative approach that uses twoscale homogenization analysis to derive a coarse grid model in a systematic way. Finally, we have made some progress in developing numerical methods to solve multiscale nonlinear stochastic partial differential equations by using WienerChaos expansions. These methods will reduce the problem of solving stochastic PDEs to solving a set of deterministic PDEs. This numerical method can be combined with our multiscale computational method, and can be used to compute accurately high order statistical quantities more efficiently than the traditional MonteCarlo method
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
The main objective of this study is to develop an efficient multiscale coarse grid method which can be used as a competitive algorithm in studying composite materials and flow transport in strongly heterogeneous porous media. On one hand, we have explored the possibility of using adaptive mesh to reduce the modeling error introduced by the traditional moment average technique. On the other hand, we found that in the case of high aspect ratio permeability tensor, the modeling error in ignoring high order moments (3rd order or higher) could be very large. To overcome this difficulty, we have investigated an alternative approach that uses twoscale homogenization analysis to derive a coarse grid model in a systematic way. Finally, we have made some progress in developing numerical methods to solve multiscale nonlinear stochastic partial differential equations by using WienerChaos expansions. These methods will reduce the problem of solving stochastic PDEs to solving a set of deterministic PDEs. This numerical method can be combined with our multiscale computational method, and can be used to compute accurately high order statistical quantities more efficiently than the traditional MonteCarlo method
Multiscale methods for elliptic partial differential equations and related applications by ChiaChieh Chu(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Multiscale Phenomena in Complex Fluids: Modeling, Analysis and Numerical Simulation (Series in contemporary applied mathematics
; 12) by Chun Liu(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Liu, JianGuo Editor
 Liu, Chun Editor
 World Scientific (Firm)
 Efendiev, Yalchin Author
 Tadmor, Eitan Editor
 Langley Research Center
 Abdallah, Naoufel Ben Editor
 Allaire, Grégoire Author
 Frosali, Giovanni Editor
 Arnold, Anton
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Associated Subjects
Computer science Computer scienceMathematics Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Nonlinear Differential equations, Partial Engineering mathematics Evolution equations Evolution equationsAsymptotic theory Finite element method Fluid dynamics Fluid dynamicsMathematical models Fluid dynamicsMathematics Fluids Functional analysis Hydraulic engineering Mathematical geography Mathematics Mechanics Mechanics, Applied Multigrid methods (Numerical analysis) Multiscale modeling Numerical analysis Quantum electrodynamics Quantum theory Quantum theoryMathematical models Transport theoryMathematical models Turbulence VortexmotionMathematical models
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Alternative Names
Hou, Thomas
Hou, Thomas Yizhao
Hou, Thomas Yizhao 1962
Thomas Hou
Thomas Hou matematico statunitense
Thomas Y. Hou chinesischUSamerikanischer Mathematiker
Thomas Y. Hou mathématicien sinoaméricain
Thomas Y. Hou wiskundige uit China
侯一钊
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