## Tsai, Yen-Hsi Richard

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 Author ID: tsai.yen-hsi-richard Published as: Tsai, Richard; Tsai, Yen-Hsi Richard; Tsai, Yen-Hsi; Tsai, Yen-Hsi R.; Tsai, R.; Tsai, Y.-H. R.; Tsai, Yen-hsi Richard; Tsai, Richard H.; Tsai, Y-H R more...less Homepage: https://www.ma.utexas.edu/users/ytsai/My_academic_homepage/About_Me.html External Links: MGP · ResearchGate · dblp
 Documents Indexed: 66 Publications since 1995 1 Contribution as Editor Co-Authors: 50 Co-Authors with 64 Joint Publications 1,628 Co-Co-Authors
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### Co-Authors

 1 single-authored 17 Engquist, Bjorn E. 14 Osher, Stanley Joel 10 Ariel, Gil 7 Cheng, Li-Tien 6 Tanushev, Nicolay M. 4 Chu, Jay 4 Esedoglu, Selim 4 Kublik, Catherine M. 4 Martin, Lindsay 3 Giga, Yoshikazu 3 Jin, Shi 3 Kim, Seongjun 3 Landa, Yanina 3 Liu, Hailiang 3 Ruuth, Steven J. 3 Takei, Ryo 2 Chen, Chieh 2 Froese, Brittany D. 2 Kang, Myungjoo 2 Kao, Chiu-Yen 2 Runborg, Olof 2 Shim, Hyeseon 2 Soatto, Stefano 1 Burchard, Paul 1 Burger, Martin 1 Chou, Eric Y. 1 Chung, Kuo-Liang 1 Hsu, Shih-Hsuan 1 Izzo, Federico 1 Jin, Hailin 1 Kreiss, Heinz-Otto 1 Lai, Mingchih 1 Lee, Yoonsang 1 Li, Yingying 1 Mamonov, Alexander V. 1 Oberman, Adam M. 1 Ohtsuka, Takeshi 1 Prodanović, Maša 1 Ren, Kui 1 Sanz-Serna, Jesús María 1 Sapiro, Guillermo 1 Sharp, Richard W. 1 Sheu, Bing J. 1 Tornberg, Anna-Karin 1 Valente, Luca 1 Wei, Dongming 1 Yang, Xu 1 Yezzi, Anthony jun. 1 Zhao, Hongkai 1 Zhong, Yimin 1 Zhou, Zhengyuan
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### Serials

 19 Journal of Computational Physics 8 Communications in Mathematical Sciences 6 Journal of Scientific Computing 5 Multiscale Modeling & Simulation 4 Mathematics of Computation 3 Research in the Mathematical Sciences 2 SIAM Journal on Numerical Analysis 1 Computers & Mathematics with Applications 1 Inverse Problems 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 RIMS Kokyuroku 1 Interfaces and Free Boundaries 1 CMES. Computer Modeling in Engineering & Sciences 1 Acta Numerica 1 Lecture Notes in Computational Science and Engineering 1 Communications in Computational Physics 1 Inverse Problems and Imaging
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### Fields

 54 Numerical analysis (65-XX) 32 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Ordinary differential equations (34-XX) 7 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 4 Information and communication theory, circuits (94-XX) 3 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

62 Publications have been cited 842 times in 533 Documents Cited by Year
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai
2003
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
2005
Geometric optics in a phase-space-based level set and Eulerian framework. Zbl 0999.78002
Osher, Stanley; Cheng, Li-Tien; Kang, Myungjoo; Shim, Hyeseon; Tsai, Yen-Hsi
2002
Threshold dynamics for the piecewise constant Mumford-Shah functional. Zbl 1086.65522
Esedoḡlu, Selim; Tsai, Yen-Hsi Richard
2006
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
2005
Fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1090.35016
Kao, Chiu-Yen; Osher, Stanley; Tsai, Yen-Hsi
2005
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. Zbl 1072.65132
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard
2005
Redistancing by flow of time dependent eikonal equation. Zbl 1317.76060
Cheng, Li-Tien; Tsai, Yen-Hsi
2008
Threshold dynamics for high order geometric motions. Zbl 1157.65330
Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard
2008
Rapid and accurate computation of the distance function using grids. Zbl 0997.65090
Tsai, Yen-hsi Richard
2002
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
2009
Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems. Zbl 1098.65094
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Richard
2005
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Diffusion generated motion using signed distance functions. Zbl 1181.65031
Esedoglu, Selim; Ruuth, Steven; Tsai, Richard
2010
Level set methods and their applications in image science. Zbl 1080.94003
Tsai, Richard; Osher, Stanley
2003
Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018
Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G.
2004
Multi-valued solution and level set methods in computational high frequency wave propagation. Zbl 1120.65110
Liu, H.; Osher, S.; Tsai, R.
2006
Reflection in a level set framework for geometric optics. Zbl 1069.78002
Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi
2004
An implicit interface boundary integral method for Poisson’s equation on arbitrary domains. Zbl 1349.65661
Kublik, Catherine; Tanushev, Nicolay M.; Tsai, Richard
2013
A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088
Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley
2003
Point source identification in nonlinear advection-diffusion-reaction systems. Zbl 1264.35282
Mamonov, A V; Tsai, Y-H R
2013
Total variation and level set methods in image science. Zbl 1119.65376
Tsai, Yen-Hsi Richard; Osher, Stanley
2005
Integration over curves and surfaces defined by the closest point mapping. Zbl 1336.65021
Kublik, Catherine; Tsai, Richard
2016
Heat source identification based on $$\ell_1$$ constrained minimization. Zbl 1283.49041
Li, Yingying; Osher, Stanley; Tsai, Richard
2014
A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115
Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard
2012
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
2005
Numerical methods for anisotropic mean curvature flow based on a discrete time variational formulation. Zbl 1273.35027
Oberman, Adam; Osher, Stanley; Takei, Ryo; Tsai, Richard
2011
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2013
A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique. Zbl 1263.65067
Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R.
2013
A multiscale technique for finding slow manifolds of stiff mechanical systems. Zbl 1332.65100
Ariel, G.; Sanz-Serna, J. M.; Tsai, R.
2012
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101
Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y.
2015
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2015
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
2018
Visibility optimization using variational approaches. Zbl 1098.65075
Cheng, Li-Tien; Tsai, Yen-Hsi
2005
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
2011
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
2012
Optimal trajectories of curvature constrained motion in the Hamilton-Jacobi formulation. Zbl 1307.49029
Takei, Ryo; Tsai, Richard
2013
An extrapolative approach to integration over hypersurfaces in the level set framework. Zbl 1391.65047
Kublik, Catherine; Tsai, Richard
2018
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
2009
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Discovery of point sources in the Helmholtz equation posed in unknown domains with obstacles. Zbl 1308.78003
Landa, Yanina; Tanushev, Nicolay M.; Tsai, Richard
2011
Parareal multiscale methods for highly oscillatory dynamical systems. Zbl 1353.65066
Ariel, Gil; Kim, Seong Jun; Tsai, Richard
2016
An implicit boundary integral method for interfaces evolving by Mullins-Sekerka dynamics. Zbl 1387.35628
Chen, Chieh; Kublik, Catherine; Tsai, Richard
2017
An implicit boundary integral method for computing electric potential of macromolecules in solvent. Zbl 1383.78014
Zhong, Yimin; Ren, Kui; Tsai, Richard
2018
An efficient algorithm for a visibility-based surveillance-evasion game. Zbl 1307.91036
Takei, Ryo; Tsai, Richard; Zhou, Zhengyuan
2014
Properties of a level set algorithm for the visibility problems. Zbl 1203.65139
Kao, Chiu-Yen; Tsai, Richard
2008
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
2014
Estimation of 3D surface shape and smooth radiance from 2D images: a level set approach. Zbl 1082.68855
Jin, Hailin; Yezzi, Anthony J.; Tsai, Yen-Hsi; Cheng, Li-Tien; Soatto, Stefano
2003
Visibility of point clouds and exploratory path planning in unkown environments. Zbl 1162.65318
Landa, Yanina; Tsai, Richard
2008
Discovering a point source in unknown environments. Zbl 1215.93091
Burger, Martin; Landa, Yanina; Tanushev, Nicolay M.; Tsai, Richard
2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. Zbl 1201.65173
Wei, Dongming; Jin, Shi; Tsai, Richard; Yang, Xu
2010
Equivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfaces. Zbl 1479.65016
Martin, Lindsay; Tsai, Yen-Hsi Richard
2020
Implicit boundary integral methods for the Helmholtz equation in exterior domains. Zbl 1375.65163
Chen, Chieh; Tsai, Richard
2017
A stable parareal-like method for the second order wave equation. Zbl 1453.65275
Nguyen, Hieu; Tsai, Richard
2020
Information-seeking control under visibility-based uncertainty. Zbl 1361.68299
Valente, Luca; Tsai, Yen-Hsi R.; Soatto, Stefano
2014
A parallel solver for circulant block-tridiagonal systems. Zbl 0820.65011
Chung, K.-L.; Tsai, Y.-H.; Yan, W.-M.
1995
Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003
2012
A coupled finite difference-Gaussian beam method for high frequency wave propagation. Zbl 1246.65154
Tanushev, Nicolay M.; Tsai, Yen-Hsi Richard; Engquist, Björn
2012
Equivalent extensions of partial differential equations on surfaces. Zbl 1469.35205
Martin, Lindsay; Chu, Jay; Tsai, Richard
2021
A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. Zbl 1426.65198
Martin, Lindsay; Tsai, Yen-Hsi R.
2019
A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. Zbl 1452.76174
Hsu, Shih-Hsuan; Chu, Jay; Lai, Ming-Chih; Tsai, Richard
2019
Equivalent extensions of partial differential equations on surfaces. Zbl 1469.35205
Martin, Lindsay; Chu, Jay; Tsai, Richard
2021
Equivalent extensions of Hamilton-Jacobi-Bellman equations on hypersurfaces. Zbl 1479.65016
Martin, Lindsay; Tsai, Yen-Hsi Richard
2020
A stable parareal-like method for the second order wave equation. Zbl 1453.65275
Nguyen, Hieu; Tsai, Richard
2020
A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. Zbl 1426.65198
Martin, Lindsay; Tsai, Yen-Hsi R.
2019
A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. Zbl 1452.76174
Hsu, Shih-Hsuan; Chu, Jay; Lai, Ming-Chih; Tsai, Richard
2019
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
2018
An extrapolative approach to integration over hypersurfaces in the level set framework. Zbl 1391.65047
Kublik, Catherine; Tsai, Richard
2018
An implicit boundary integral method for computing electric potential of macromolecules in solvent. Zbl 1383.78014
Zhong, Yimin; Ren, Kui; Tsai, Richard
2018
An implicit boundary integral method for interfaces evolving by Mullins-Sekerka dynamics. Zbl 1387.35628
Chen, Chieh; Kublik, Catherine; Tsai, Richard
2017
Implicit boundary integral methods for the Helmholtz equation in exterior domains. Zbl 1375.65163
Chen, Chieh; Tsai, Richard
2017
Integration over curves and surfaces defined by the closest point mapping. Zbl 1336.65021
Kublik, Catherine; Tsai, Richard
2016
Parareal multiscale methods for highly oscillatory dynamical systems. Zbl 1353.65066
Ariel, Gil; Kim, Seong Jun; Tsai, Richard
2016
A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101
Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y.
2015
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II. Zbl 1352.65235
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2015
Heat source identification based on $$\ell_1$$ constrained minimization. Zbl 1283.49041
Li, Yingying; Osher, Stanley; Tsai, Richard
2014
An efficient algorithm for a visibility-based surveillance-evasion game. Zbl 1307.91036
Takei, Ryo; Tsai, Richard; Zhou, Zhengyuan
2014
Iterated averaging of three-scale oscillatory systems. Zbl 1316.34050
Ariel, Gil; Engquist, Bjorn; Kim, Seong Jun; Tsai, Richard
2014
Information-seeking control under visibility-based uncertainty. Zbl 1361.68299
Valente, Luca; Tsai, Yen-Hsi R.; Soatto, Stefano
2014
An implicit interface boundary integral method for Poisson’s equation on arbitrary domains. Zbl 1349.65661
Kublik, Catherine; Tanushev, Nicolay M.; Tsai, Richard
2013
Point source identification in nonlinear advection-diffusion-reaction systems. Zbl 1264.35282
Mamonov, A V; Tsai, Y-H R
2013
Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Zbl 1349.65287
Engquist, Björn; Froese, Brittany D.; Tsai, Yen-Hsi Richard
2013
A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique. Zbl 1263.65067
Ariel, G.; Engquist, B.; Kim, S.; Lee, Y.; Tsai, R.
2013
Optimal trajectories of curvature constrained motion in the Hamilton-Jacobi formulation. Zbl 1307.49029
Takei, Ryo; Tsai, Richard
2013
A multiscale method coupling network and continuum models in porous media. I: Steady-state single phase flow. Zbl 1428.76115
Chu, Jay; Engquist, Björn; Prodanović, Maša; Tsai, Richard
2012
A multiscale technique for finding slow manifolds of stiff mechanical systems. Zbl 1332.65100
Ariel, G.; Sanz-Serna, J. M.; Tsai, R.
2012
Oscillatory systems with three separated time scales: Analysis and computation. Zbl 1246.65106
Ariel, Gil; Engquist, Björn; Tsai, Yen-Hsi Richard
2012
Numerical analysis of multiscale computations. Proceedings of a winter workshop at the Banff International Research Station 2009, Canada, December 6–11, 2011. Zbl 1229.65003
2012
A coupled finite difference-Gaussian beam method for high frequency wave propagation. Zbl 1246.65154
Tanushev, Nicolay M.; Tsai, Yen-Hsi Richard; Engquist, Björn
2012
Numerical methods for anisotropic mean curvature flow based on a discrete time variational formulation. Zbl 1273.35027
Oberman, Adam; Osher, Stanley; Takei, Ryo; Tsai, Richard
2011
Gaussian beam decomposition of high frequency wave fields using expectation-maximization. Zbl 1210.65171
Ariel, Gil; Engquist, Björn; Tanushev, Nicolay M.; Tsai, Richard
2011
Discovery of point sources in the Helmholtz equation posed in unknown domains with obstacles. Zbl 1308.78003
Landa, Yanina; Tanushev, Nicolay M.; Tsai, Richard
2011
Diffusion generated motion using signed distance functions. Zbl 1181.65031
Esedoglu, Selim; Ruuth, Steven; Tsai, Richard
2010
Discovering a point source in unknown environments. Zbl 1215.93091
Burger, Martin; Landa, Yanina; Tanushev, Nicolay M.; Tsai, Richard
2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. Zbl 1201.65173
Wei, Dongming; Jin, Shi; Tsai, Richard; Yang, Xu
2010
Gaussian beam decomposition of high frequency wave fields. Zbl 1177.78019
Tanushev, Nicolay M.; Engquist, Björn; Tsai, Richard
2009
A multiscale method for highly oscillatory ordinary differential equations with resonance. Zbl 1198.65110
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Numerical multiscale methods for coupled oscillators. Zbl 1175.65078
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Multiscale computations for highly oscillatory problems. Zbl 1159.65332
Ariel, Gil; Engquist, Björn; Kreiss, Heinz-Otto; Tsai, Richard
2009
A reversible multiscale integration method. Zbl 1182.65104
Ariel, Gil; Engquist, Bjorn; Tsai, Richard
2009
Redistancing by flow of time dependent eikonal equation. Zbl 1317.76060
Cheng, Li-Tien; Tsai, Yen-Hsi
2008
Threshold dynamics for high order geometric motions. Zbl 1157.65330
Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard
2008
Properties of a level set algorithm for the visibility problems. Zbl 1203.65139
Kao, Chiu-Yen; Tsai, Richard
2008
Visibility of point clouds and exploratory path planning in unkown environments. Zbl 1162.65318
Landa, Yanina; Tsai, Richard
2008
Threshold dynamics for the piecewise constant Mumford-Shah functional. Zbl 1086.65522
Esedoḡlu, Selim; Tsai, Yen-Hsi Richard
2006
Multi-valued solution and level set methods in computational high frequency wave propagation. Zbl 1120.65110
Liu, H.; Osher, S.; Tsai, R.
2006
Discretization of Dirac delta functions in level set methods. Zbl 1074.65025
Engquist, Björn; Tornberg, Anna-Karin; Tsai, Richard
2005
Heterogeneous multiscale methods for stiff ordinary differential equations. Zbl 1081.65075
Engquist, Bjorn; Tsai, Yen-Hsi
2005
Fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1090.35016
Kao, Chiu-Yen; Osher, Stanley; Tsai, Yen-Hsi
2005
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation. Zbl 1072.65132
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Yen-Hsi Richard
2005
Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems. Zbl 1098.65094
Jin, Shi; Liu, Hailiang; Osher, Stanley; Tsai, Richard
2005
Total variation and level set methods in image science. Zbl 1119.65376
Tsai, Yen-Hsi Richard; Osher, Stanley
2005
Multiple time scale numerical methods for the inverted pendulum problem. Zbl 1134.70302
Sharp, Richard; Tsai, Yen-Hsi; Engquist, Björn
2005
Visibility optimization using variational approaches. Zbl 1098.65075
Cheng, Li-Tien; Tsai, Yen-Hsi
2005
Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018
Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G.
2004
Reflection in a level set framework for geometric optics. Zbl 1069.78002
Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi
2004
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai
2003
Level set methods and their applications in image science. Zbl 1080.94003
Tsai, Richard; Osher, Stanley
2003
A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088
Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley
2003
Estimation of 3D surface shape and smooth radiance from 2D images: a level set approach. Zbl 1082.68855
Jin, Hailin; Yezzi, Anthony J.; Tsai, Yen-Hsi; Cheng, Li-Tien; Soatto, Stefano
2003
Geometric optics in a phase-space-based level set and Eulerian framework. Zbl 0999.78002
Osher, Stanley; Cheng, Li-Tien; Kang, Myungjoo; Shim, Hyeseon; Tsai, Yen-Hsi
2002
Rapid and accurate computation of the distance function using grids. Zbl 0997.65090
Tsai, Yen-hsi Richard
2002
A parallel solver for circulant block-tridiagonal systems. Zbl 0820.65011
Chung, K.-L.; Tsai, Y.-H.; Yan, W.-M.
1995
all top 5

### Cited by 902 Authors

 31 Tsai, Yen-Hsi Richard 27 Qian, Jianliang 20 Osher, Stanley Joel 16 Jin, Shi 13 Liu, Hailiang 12 Leung, Shingyu 11 Bertozzi, Andrea Louise 10 Gibou, Frédéric 9 Engquist, Bjorn E. 9 Giga, Yoshikazu 9 Luo, Songting 8 Zhao, Hongkai 7 Kao, Chiu-Yen 7 Ruuth, Steven J. 6 Cheng, Li-Tien 6 Fedkiw, Ronald P. 6 Min, Chohong 6 Runborg, Olof 6 Wang, Zhongming 6 Zuazua, Enrique 5 Burridge, Robert 5 Fox, Rodney O. 5 Kim, Seongjun 5 Towers, John D. 5 Wang, Michael Yu 5 Wen, Xin 5 Zhang, Yongtao 5 Zhou, Hao-Min 4 Ariel, Gil 4 Dai, Limei 4 Darbon, Jerome 4 Dehghan Takht Fooladi, Mehdi 4 Esedoglu, Selim 4 Falcone, Maurizio 4 Li, Zhilin 4 Lu, Wangtao 4 Luo, Zhen 4 Martin, Lindsay 4 Oberman, Adam M. 4 Pyatkov, Sergeĭ Grigor’evich 4 Salehi, Rezvan 4 Sandu, Adrian 4 Sanz-Serna, Jesús María 4 Sapiro, Guillermo 4 Shu, Chi-Wang 4 Van Gennip, Yves 4 Vladimirsky, Alexander 4 Yang, Xu 3 Casas, Eduardo 3 Chartier, Philippe 3 Chen, Yaoyao 3 Chu, Jay 3 Cockburn, Bernardo 3 Collin, Annabelle 3 E, Weinan 3 Egan, Raphael 3 Flenner, Arjuna 3 Ginder, Elliott 3 Glowinski, Roland 3 Gottlieb, Sigal 3 Huang, Yunqing 3 Jiang, Yanqun 3 Jung, Jae-Hun 3 Khan, Wajid 3 Kim, Junseok 3 Kreiss, Gunilla 3 Kublik, Catherine M. 3 Kunisch, Karl 3 Lee, Hyun Geun 3 Li, Xiantao 3 Ling, Leevan 3 Liu, Jianguo 3 Mirebeau, Jean-Marie 3 Murua, Ander 3 Nave, Jean-Christophe 3 Nordbotten, Jan Martin 3 Ohtsuka, Takeshi 3 Osting, Braxton 3 Parkinson, Christian 3 Reitich, Fernando 3 Siraj-ul-Islam 3 Švadlenka, Karel 3 Tai, Xuecheng 3 Tanushev, Nicolay M. 3 Tong, Liyong 3 Tran Vinh Hung 3 Ullah, Baseer 3 Vabishchevich, Pëtr Nikolaevich 3 Vanden-Eijnden, Eric 3 Wang, Shengyin 3 Yi, Nianyu 3 Yin, Dongsheng 3 Ying, Lexing 3 Yokoi, Kensuke 2 Akkerman, Ido 2 Alexandrov, Boian S. 2 Alyaev, Sergey 2 Arjmand, Doghonay 2 Aslam, Tariq D. 2 Bao, Gang ...and 802 more Authors
all top 5

### Cited in 123 Serials

 140 Journal of Computational Physics 59 Journal of Scientific Computing 20 Journal of Computational and Applied Mathematics 17 SIAM Journal on Scientific Computing 16 Multiscale Modeling & Simulation 11 Computers & Mathematics with Applications 11 Computer Methods in Applied Mechanics and Engineering 9 Mathematics of Computation 8 International Journal for Numerical Methods in Engineering 8 Applied Numerical Mathematics 7 Journal of Mathematical Imaging and Vision 7 Research in the Mathematical Sciences 6 Inverse Problems 6 SIAM Journal on Applied Mathematics 6 Communications in Computational Physics 5 Applied Mathematics and Computation 5 Numerische Mathematik 5 Applied Mathematical Modelling 5 Communications in Nonlinear Science and Numerical Simulation 5 Inverse Problems and Imaging 5 SIAM Journal on Imaging Sciences 5 Discrete and Continuous Dynamical Systems. Series S 4 Computers and Fluids 4 Wave Motion 4 BIT 4 SIAM Journal on Numerical Analysis 4 Discrete and Continuous Dynamical Systems 4 Computational Geosciences 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Control and Optimization 3 Computational Mechanics 3 Japan Journal of Industrial and Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Communications in Partial Differential Equations 3 Applied and Computational Harmonic Analysis 3 International Journal of Computer Vision 3 Advances in Applied Mathematics and Mechanics 2 Communications on Pure and Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 Automatica 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Computer Aided Geometric Design 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mathematics and Mathematical Physics 2 Pattern Recognition 2 SIAM Journal on Mathematical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Hyperbolic Differential Equations 2 Boundary Value Problems 2 Mathematical Geosciences 2 Mathematical Control and Related Fields 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Siberian Mathematical Journal 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Computer Science and Technology 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Multidimensional Systems and Signal Processing 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 NoDEA. Nonlinear Differential Equations and Applications 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Matematicheskie Trudy 1 New Journal of Physics 1 Interfaces and Free Boundaries 1 Far East Journal of Mathematical Sciences 1 International Journal of Modern Physics C 1 Differential Equations 1 Journal of Evolution Equations 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics ...and 23 more Serials
all top 5

### Cited in 35 Fields

 346 Numerical analysis (65-XX) 215 Partial differential equations (35-XX) 90 Fluid mechanics (76-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 40 Computer science (68-XX) 38 Ordinary differential equations (34-XX) 38 Mechanics of deformable solids (74-XX) 35 Information and communication theory, circuits (94-XX) 25 Optics, electromagnetic theory (78-XX) 23 Biology and other natural sciences (92-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Operations research, mathematical programming (90-XX) 17 Differential geometry (53-XX) 17 Quantum theory (81-XX) 16 Mechanics of particles and systems (70-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Geophysics (86-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Systems theory; control (93-XX) 9 Approximations and expansions (41-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 6 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX)