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## Qian, Jianliang

Compute Distance To:
 Author ID: qian.jianliang Published as: Qian, Jianliang; Qian, J.
 Documents Indexed: 101 Publications since 1983
all top 5

#### Co-Authors

 14 single-authored 22 Leung, Shingyu 8 Burridge, Robert 8 Luo, Songting 8 Zhao, Hongkai 7 Lu, Wangtao 7 Osher, Stanley Joel 6 Glowinski, Roland 4 Li, Wenbin 4 Symes, William W. 3 Cecil, Thomas C. 3 Chung, Tsz Shun Eric 3 Cockburn, Bernardo 3 Liu, Jiaqi 3 Serna, Susana 3 Uhlmann, Gunther Alberto 3 Ying, Lexing 3 Zhang, Yongtao 2 Bao, Gang 2 Fang, Jun 2 Isakov, Victor M. 2 Kao, Chiu-Yen 2 Lam, Chi Yeung 2 Stefanov, Plamen D. 2 Yang, Guang 2 Yuan, Lijun 2 Zepeda-Núñez, Leonardo 1 Ao, Wenqi 1 Bechtold, John K. 1 Cheng, Jin 1 Cheng, Li-Tien 1 Cheung, Yau Kai 1 Dong, Bo 1 Dufour, Pascal 1 Guzmán, Johnny 1 Ho, Kaho 1 Hu, Jiangtao 1 Huang, Guanghui 1 Kwan, Wingfai 1 Lai, Jun 1 Law, Chung K. 1 Li, Shuwang 1 Lin, Yuan 1 Liu, Yuan 1 Lu, Huilin 1 Lu, Ya Yan 1 Maia, Filipe 1 Marchesini, Stefano 1 Merev, Ivan 1 Nadri, Madiha 1 Ralston, James V. 1 Reitich, Fernando 1 Schirotzek, Andre 1 Sze, Kam-Yim 1 Tanushev, Nicolay M. 1 Tham, Leslie George 1 Tran Vinh Hung 1 Tryggvason, Grétar 1 Woo, Peter Y. 1 Xu, Boxi 1 Yoo, Seung-Woon 1 Yu, Yifeng 1 Zhang, Hai
all top 5

#### Serials

 18 Journal of Computational Physics 10 Journal of Scientific Computing 9 Physics of Fluids 6 SIAM Journal on Scientific Computing 6 Multiscale Modeling & Simulation 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Imaging Sciences 3 Inverse Problems 3 Journal of Harbin Institute of Technology 3 Inverse Problems and Imaging 2 Computers & Mathematics with Applications 2 Wave Motion 2 Journal of Physics A: Mathematical and General 2 Communications in Mathematical Sciences 2 Communications in Computational Physics 1 Computers and Structures 1 International Journal of Control 1 International Journal of Solids and Structures 1 Journal of Applied Mechanics 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Mathematics of Computation 1 Mathematische Annalen 1 Circuits, Systems, and Signal Processing 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 Journal of Inverse and Ill-Posed Problems 1 Methods and Applications of Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Combustion Theory and Modelling 1 Research in the Mathematical Sciences
all top 5

#### Fields

 54 Numerical analysis (65-XX) 41 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 18 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 839 times in 350 Documents Cited by Year
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions. Zbl 1053.65086
Cecil, Tom; Qian, Jianliang; Osher, Stanley
2004
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
2006
Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations. Zbl 1053.65088
Kao, Chiu Yen; Osher, Stanley; Qian, Jianliang
2004
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
2007
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
2007
An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029
Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai
2011
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. Zbl 1161.81370
Leung, Shingyu; Qian, Jianliang
2009
A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426
Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley
2003
A slowness matching Eulerian method for multivalued solutions of eikonal equations. Zbl 1035.78017
Symes, William W.; Qian, Jianliang
2003
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156
Qian, Jianliang; Ying, Lexing
2010
Mountain waves and Gaussian beams. Zbl 1149.41014
Tanushev, Nicolay M.; Qian, Jianliang; Ralston, James V.
2007
High-order factorization based high-order hybrid fast sweeping methods for point-source eikonal equations. Zbl 1293.65130
Luo, Songting; Qian, Jianliang; Burridge, Robert
2014
Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076
Qian, Jianliang; Ying, Lexing
2010
An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals. Zbl 1096.65062
Leung, Shingyu; Qian, Jianliang
2006
A front tracking method for the motion of premixed flames. Zbl 1392.76050
Qian, J.; Tryggvason, G.; Law, C. K.
1998
A level set based Eulerian method for paraxial multivalued traveltimes. Zbl 1052.65087
Qian, Jianliang; Leung, Shingyu
2004
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. Zbl 1282.81090
Leung, Shingyu; Qian, Jianliang
2010
Fast sweeping methods for factored anisotropic eikonal equations: multiplicative and additive factors. Zbl 1255.65192
Luo, Songting; Qian, Jianliang
2012
Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. Zbl 1220.78004
Luo, Songting; Qian, Jianliang
2011
A stopping criterion for higher-order sweeping schemes for static Hamilton-Jacobi equations. Zbl 1240.65317
Serna, Susana; Qian, Jianliang
2010
An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics. Zbl 1066.78015
Cockburn, Bernardo; Qian, Jianliang; Reitich, Fernando; Wang, Jing
2005
Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. Zbl 1349.78051
Luo, Songting; Qian, Jianliang; Burridge, Robert
2014
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2011
Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes. Zbl 1152.65102
Kao, Chiu-Yen; Osher, Stanley; Qian, Jianliang
2008
The fundamental solution of the time-dependent system of crystal optics. Zbl 1160.78001
Burridge, R.; Qian, J.
2006
Paraxial eikonal solvers for anisotropic quasi-P travel times. Zbl 1056.35042
Qian, Jianliang; Symes, William W.
2001
Optimal convergence of the original DG method on special meshes for variable transport velocity. Zbl 1209.65123
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny; Qian, Jianliang
2010
Transmission traveltime tomography based on paraxial Liouville equations and level set formulations. Zbl 1115.35151
Leung, Shingyu; Qian, Jianliang
2007
Variational approach to the closure problem of turbulence theory. Zbl 0556.76037
Qian, J.
1983
Efficient algorithms for ptychographic phase retrieval. Zbl 1329.65332
Qian, Jianliang; Yang, Chao; Schirotzek, A.; Maia, F.; Marchesini, S.
2014
A local level set method for paraxial geometrical optics. Zbl 1106.78001
Qian, Jianliang; Leung, Shingyu
2006
Fifth-order weighted power-ENO schemes for Hamilton-Jacobi equations. Zbl 1149.70301
Serna, Susana; Qian, Jianliang
2006
A level set method for three-dimensional paraxial geometrical optics with multiple point sources. Zbl 1116.76074
Leung, Shingyu; Qian, Jianliang; Osher, Stanley
2004
Universal equilibrium range of turbulence. Zbl 0573.76048
Qian, J.
1984
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension. Zbl 1089.65084
Cecil, Thomas C.; Osher, Stanley J.; Qian, Jianliang
2006
Eulerian geometrical optics and fast Huygens sweeping methods for three-dimensional time-harmonic high-frequency Maxwell’s equations in inhomogeneous media. Zbl 1338.65251
Qian, Jianliang; Lu, Wangtao; Yuan, Lijun; Luo, Songting; Burridge, Robert
2016
Babich’s expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. Zbl 1349.65691
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2016
Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2016
Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians. Zbl 1404.35098
Qian, Jianliang; Tran, Hung V.; Yu, Yifeng
2018
A closure theory of intermittency of turbulence. Zbl 0624.76070
Qian, J.
1986
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
2011
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2013
Babich’s expansion and high-order Eulerian asymptotics for point-source Helmholtz equations. Zbl 1398.65320
Qian, Jianliang; Yuan, Lijun; Liu, Yuan; Luo, Songting; Burridge, Robert
2016
Adjoint state method for the identification problem in SPECT: recovery of both the source and the attenuation in the attenuated X-ray transform. Zbl 1296.65185
Luo, Songting; Qian, Jianliang; Stefanov, Plamen
2014
A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
2007
Dynamic analysis of rigid surface footings by boundary element method. Zbl 1235.74338
Qian, J.; Tham, L. G.; Cheung, Y. K.
1998
An adjoint state method for numerical approximation of continuous traffic congestion equilibria. Zbl 1388.65042
Luo, Songting; Leung, Shingyu; Qian, Jianliang
2011
Paraxial geometrical optics for quasi-P waves: theories and numerical methods. Zbl 1163.74427
Qian, Jianliang; Symes, William W.
2002
Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime. Zbl 1426.65151
Leung, Shingyu; Qian, Jianliang; Serna, Susana
2014
Babich-like ansatz for three-dimensional point-source Maxwell’s equations in an inhomogeneous medium at high frequencies. Zbl 1352.65527
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2016
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
2017
A paraxial formulation for the viscosity solution of quasi-P eikonal equations. Zbl 1049.35071
Qian, J.; Symes, W. W.
2003
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
Perfectly matched layer boundary integral equation method for wave scattering in a layered medium. Zbl 1381.65096
Lu, Wangtao; Lu, Ya Yan; Qian, Jianliang
2018
An improved fast local level set method for three-dimensional inverse gravimetry. Zbl 1369.65134
Lu, Wangtao; Leung, Shingyu; Qian, Jianliang
2015
Extending Babich’s ansatz for point-source Maxwell’s equations using Hadamard’s method. Zbl 1448.65242
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2018
Turbulent passive scalar field of a small Prandtl number. Zbl 0608.76047
Qian, J.
1986
A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2015
An equality about the velocity derivative skewness in turbulence. Zbl 1186.76435
Qian, J.
2003
The spectrum of a turbulent passive scalar in the viscous-convective range. Zbl 0706.76061
Qian, J.
1990
Essentially non-oscillatory adaptive tree methods. Zbl 1203.65219
Cecil, Thomas C.; Osher, Stanley J.; Qian, Jianliang
2008
Numerical experiments on one-dimensional model of turbulence. Zbl 0546.76081
Qian, J.
1984
A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2018
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. Zbl 1349.65543
Bao, Gang; Lai, Jun; Qian, Jianliang
2014
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
2018
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang
2019
Approximations for viscosity solutions of Hamilton-Jacobi equations with locally varying time and space grids. Zbl 1112.49026
Qian, Jianliang
2006
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. Zbl 1380.78001
Kwan, Wingfai; Leung, Shingyu; Wang, Xiao-Ping; Qian, Jianliang
2017
A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media. Zbl 1380.65254
Chung, Eric T.; Lam, Chi Yeung; Qian, Jianliang
2017
Scaling exponents of the second-order structure function of turbulence. Zbl 0941.76041
Qian, J.
1998
Randomly generating triangulations of a simple polygon. Zbl 1128.68518
Ding, Q.; Qian, J.; Tsang, W.; Wang, C.
2005
Optimal input design for parameter estimation of nonlinear systems: case study of an unstable delta wing. Zbl 1366.93640
Qian, J.; Nadri, M.; Dufour, P.
2017
Initial post-buckling and growth of a circular delamination bridged by nonlinear fibers. Zbl 1110.74555
Li, S.; Nie, J.; Qian, J.; Huang, Y.; Hu, Y.
2000
A passive scalar field convected by turbulence. Zbl 0609.76056
Qian, J.
1985
A combined finite element-Langevin dynamics (FEM-LD) approach for analyzing the mechanical response of bio-polymer networks. Zbl 1323.82042
Lin, Yuan; Wei, X.; Qian, J.; Sze, K. Y.; Shenoy, V. B.
2014
Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. Zbl 1443.65284
Li, Wenbin; Qian, Jianliang
2020
Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. Zbl 1443.65284
Li, Wenbin; Qian, Jianliang
2020
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang
2019
Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians. Zbl 1404.35098
Qian, Jianliang; Tran, Hung V.; Yu, Yifeng
2018
Perfectly matched layer boundary integral equation method for wave scattering in a layered medium. Zbl 1381.65096
Lu, Wangtao; Lu, Ya Yan; Qian, Jianliang
2018
Extending Babich’s ansatz for point-source Maxwell’s equations using Hadamard’s method. Zbl 1448.65242
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2018
A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2018
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
2018
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
2017
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. Zbl 1380.78001
Kwan, Wingfai; Leung, Shingyu; Wang, Xiao-Ping; Qian, Jianliang
2017
A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media. Zbl 1380.65254
Chung, Eric T.; Lam, Chi Yeung; Qian, Jianliang
2017
Optimal input design for parameter estimation of nonlinear systems: case study of an unstable delta wing. Zbl 1366.93640
Qian, J.; Nadri, M.; Dufour, P.
2017
Eulerian geometrical optics and fast Huygens sweeping methods for three-dimensional time-harmonic high-frequency Maxwell’s equations in inhomogeneous media. Zbl 1338.65251
Qian, Jianliang; Lu, Wangtao; Yuan, Lijun; Luo, Songting; Burridge, Robert
2016
Babich’s expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. Zbl 1349.65691
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2016
Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2016
Babich’s expansion and high-order Eulerian asymptotics for point-source Helmholtz equations. Zbl 1398.65320
Qian, Jianliang; Yuan, Lijun; Liu, Yuan; Luo, Songting; Burridge, Robert
2016
Babich-like ansatz for three-dimensional point-source Maxwell’s equations in an inhomogeneous medium at high frequencies. Zbl 1352.65527
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
2016
An improved fast local level set method for three-dimensional inverse gravimetry. Zbl 1369.65134
Lu, Wangtao; Leung, Shingyu; Qian, Jianliang
2015
A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2015
High-order factorization based high-order hybrid fast sweeping methods for point-source eikonal equations. Zbl 1293.65130
Luo, Songting; Qian, Jianliang; Burridge, Robert
2014
Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. Zbl 1349.78051
Luo, Songting; Qian, Jianliang; Burridge, Robert
2014
Efficient algorithms for ptychographic phase retrieval. Zbl 1329.65332
Qian, Jianliang; Yang, Chao; Schirotzek, A.; Maia, F.; Marchesini, S.
2014
Adjoint state method for the identification problem in SPECT: recovery of both the source and the attenuation in the attenuated X-ray transform. Zbl 1296.65185
Luo, Songting; Qian, Jianliang; Stefanov, Plamen
2014
Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime. Zbl 1426.65151
Leung, Shingyu; Qian, Jianliang; Serna, Susana
2014
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. Zbl 1349.65543
Bao, Gang; Lai, Jun; Qian, Jianliang
2014
A combined finite element-Langevin dynamics (FEM-LD) approach for analyzing the mechanical response of bio-polymer networks. Zbl 1323.82042
Lin, Yuan; Wei, X.; Qian, J.; Sze, K. Y.; Shenoy, V. B.
2014
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2013
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
Fast sweeping methods for factored anisotropic eikonal equations: multiplicative and additive factors. Zbl 1255.65192
Luo, Songting; Qian, Jianliang
2012
An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029
Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai
2011
Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes. Zbl 1220.78004
Luo, Songting; Qian, Jianliang
2011
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
2011
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
2011
An adjoint state method for numerical approximation of continuous traffic congestion equilibria. Zbl 1388.65042
Luo, Songting; Leung, Shingyu; Qian, Jianliang
2011
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation. Zbl 1197.65156
Qian, Jianliang; Ying, Lexing
2010
Fast multiscale Gaussian wavepacket transforms and multiscale Gaussian beams for the wave equation. Zbl 1223.65076
Qian, Jianliang; Ying, Lexing
2010
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. Zbl 1282.81090
Leung, Shingyu; Qian, Jianliang
2010
A stopping criterion for higher-order sweeping schemes for static Hamilton-Jacobi equations. Zbl 1240.65317
Serna, Susana; Qian, Jianliang
2010
Optimal convergence of the original DG method on special meshes for variable transport velocity. Zbl 1209.65123
Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny; Qian, Jianliang
2010
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. Zbl 1161.81370
Leung, Shingyu; Qian, Jianliang
2009
Legendre-transform-based fast sweeping methods for static Hamilton-Jacobi equations on triangulated meshes. Zbl 1152.65102
Kao, Chiu-Yen; Osher, Stanley; Qian, Jianliang
2008
Essentially non-oscillatory adaptive tree methods. Zbl 1203.65219
Cecil, Thomas C.; Osher, Stanley J.; Qian, Jianliang
2008
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
2007
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
2007
Mountain waves and Gaussian beams. Zbl 1149.41014
Tanushev, Nicolay M.; Qian, Jianliang; Ralston, James V.
2007
Transmission traveltime tomography based on paraxial Liouville equations and level set formulations. Zbl 1115.35151
Leung, Shingyu; Qian, Jianliang
2007
A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
2007
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
2006
An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals. Zbl 1096.65062
Leung, Shingyu; Qian, Jianliang
2006
The fundamental solution of the time-dependent system of crystal optics. Zbl 1160.78001
Burridge, R.; Qian, J.
2006
A local level set method for paraxial geometrical optics. Zbl 1106.78001
Qian, Jianliang; Leung, Shingyu
2006
Fifth-order weighted power-ENO schemes for Hamilton-Jacobi equations. Zbl 1149.70301
Serna, Susana; Qian, Jianliang
2006
Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension. Zbl 1089.65084
Cecil, Thomas C.; Osher, Stanley J.; Qian, Jianliang
2006
Approximations for viscosity solutions of Hamilton-Jacobi equations with locally varying time and space grids. Zbl 1112.49026
Qian, Jianliang
2006
An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics. Zbl 1066.78015
Cockburn, Bernardo; Qian, Jianliang; Reitich, Fernando; Wang, Jing
2005
Randomly generating triangulations of a simple polygon. Zbl 1128.68518
Ding, Q.; Qian, J.; Tsang, W.; Wang, C.
2005
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions. Zbl 1053.65086
Cecil, Tom; Qian, Jianliang; Osher, Stanley
2004
Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations. Zbl 1053.65088
Kao, Chiu Yen; Osher, Stanley; Qian, Jianliang
2004
A level set based Eulerian method for paraxial multivalued traveltimes. Zbl 1052.65087
Qian, Jianliang; Leung, Shingyu
2004
A level set method for three-dimensional paraxial geometrical optics with multiple point sources. Zbl 1116.76074
Leung, Shingyu; Qian, Jianliang; Osher, Stanley
2004
A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426
Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley
2003
A slowness matching Eulerian method for multivalued solutions of eikonal equations. Zbl 1035.78017
Symes, William W.; Qian, Jianliang
2003
A paraxial formulation for the viscosity solution of quasi-P eikonal equations. Zbl 1049.35071
Qian, J.; Symes, W. W.
2003
An equality about the velocity derivative skewness in turbulence. Zbl 1186.76435
Qian, J.
2003
Paraxial geometrical optics for quasi-P waves: theories and numerical methods. Zbl 1163.74427
Qian, Jianliang; Symes, William W.
2002
Paraxial eikonal solvers for anisotropic quasi-P travel times. Zbl 1056.35042
Qian, Jianliang; Symes, William W.
2001
Initial post-buckling and growth of a circular delamination bridged by nonlinear fibers. Zbl 1110.74555
Li, S.; Nie, J.; Qian, J.; Huang, Y.; Hu, Y.
2000
A front tracking method for the motion of premixed flames. Zbl 1392.76050
Qian, J.; Tryggvason, G.; Law, C. K.
1998
Dynamic analysis of rigid surface footings by boundary element method. Zbl 1235.74338
Qian, J.; Tham, L. G.; Cheung, Y. K.
1998
Scaling exponents of the second-order structure function of turbulence. Zbl 0941.76041
Qian, J.
1998
The spectrum of a turbulent passive scalar in the viscous-convective range. Zbl 0706.76061
Qian, J.
1990
A closure theory of intermittency of turbulence. Zbl 0624.76070
Qian, J.
1986
Turbulent passive scalar field of a small Prandtl number. Zbl 0608.76047
Qian, J.
1986
A passive scalar field convected by turbulence. Zbl 0609.76056
Qian, J.
1985
Universal equilibrium range of turbulence. Zbl 0573.76048
Qian, J.
1984
Numerical experiments on one-dimensional model of turbulence. Zbl 0546.76081
Qian, J.
1984
Variational approach to the closure problem of turbulence theory. Zbl 0556.76037
Qian, J.
1983
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#### Cited by 528 Authors

 41 Qian, Jianliang 23 Leung, Shingyu 13 Luo, Songting 12 Jin, Shi 12 Zhao, Hongkai 11 Liu, Hailiang 10 Osher, Stanley Joel 10 Tsai, Yen-Hsi Richard 9 Lu, Wangtao 7 Burridge, Robert 7 Yang, Xu 7 You, Guoqiao 7 Zhang, Yongtao 6 Dehghan Takht Fooladi, Mehdi 6 Salehi, Rezvan 6 Shu, Chi-Wang 5 Chen, Jiun-Shyan 5 Glowinski, Roland 5 Luo, Zhen 5 Novotny, Antonio André 5 Power, Henry 4 Jiang, Yanqun 4 Kao, Chiu-Yen 4 Kunyansky, Leonid A. 4 Li, Wenbin 4 Ling, Leevan 4 Ren, Kui 4 Roque, C. M. C. 4 Runborg, Olof 4 Shankar, Varun 4 Tong, Liyong 4 Wang, Michael Yu 4 Wright, Grady B. 4 Zepeda-Núñez, Leonardo 3 Baccouch, Mahboub 3 Bao, Gang 3 Cecil, Thomas C. 3 Chang, Huibin 3 Cockburn, Bernardo 3 Engquist, Bjorn E. 3 Ferreira, António Joaquim Mendes 3 Ha, Youngsoo 3 Haber, Eldad 3 Hjelle, Øyvind 3 Holman, Sean F. 3 Hu, Hsin-Yun 3 Kim, Changho 3 Lu, Jianfeng 3 Marchesini, Stefano 3 Morvan, Herve 3 Motamed, Mohammad 3 Qiu, Jianxian 3 Reitich, Fernando 3 Stefanov, Plamen D. 3 Tanushev, Nicolay M. 3 Treister, Eran 3 Vladimirsky, Alexander 3 Wang, Lihua 3 Wang, Zhongming 3 Wen, Xin 3 Yilmaz, Atilla 3 Yin, Dongsheng 3 Ying, Lexing 3 Yoon, Jungho 3 Zhou, Zhennan 2 Abedian, Rooholah 2 Acosta, Sebastian 2 Boyd, John Philip 2 Bruaset, Are Magnus 2 Chen, Jingrun 2 Cheng, Li-Tien 2 Chi, Sheng-Wei 2 Chung, Tsz Shun Eric 2 Cordero, Elena 2 Dapogny, Charles 2 Davydov, Oleg V. 2 Delgadillo, Ricardo 2 Demanet, Laurent 2 Duan, Yali 2 Elliott, Charles M. 2 Fang, Jun 2 Fogelson, Aaron L. 2 Gosse, Laurent 2 Gottlieb, Sigal 2 Iwen, Mark A. 2 Javaherian, Ashkan 2 Ketcheson, David I. 2 Lam, Chi Yeung 2 Lees, Michael 2 Lehto, Erik 2 Liu, Ruxun 2 Lou, Yifei 2 Luo, Hanzhong 2 Ma, Dingjiong 2 Markowich, Peter Alexander 2 Mirebeau, Jean-Marie 2 Mitchell, Ian M. 2 Nicola, Fabio 2 Oksanen, Lauri 2 Parkinson, Christian ...and 428 more Authors
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#### Cited in 82 Serials

 70 Journal of Computational Physics 46 Journal of Scientific Computing 20 SIAM Journal on Scientific Computing 18 SIAM Journal on Imaging Sciences 17 Inverse Problems 8 Wave Motion 7 International Journal for Numerical Methods in Engineering 7 Journal of Computational and Applied Mathematics 7 Multiscale Modeling & Simulation 6 Applied Numerical Mathematics 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 Applied Mathematics and Computation 5 Computational Mechanics 5 Applied Mathematical Modelling 5 Engineering Analysis with Boundary Elements 5 Research in the Mathematical Sciences 4 Computers and Fluids 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Imaging and Vision 4 Inverse Problems and Imaging 3 Mathematical Methods in the Applied Sciences 3 Numerical Methods for Partial Differential Equations 3 Communications in Partial Differential Equations 3 Advances in Computational Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Applied and Computational Harmonic Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Mathematical Problems in Engineering 2 Computational Geosciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Geosciences 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Pattern Recognition 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Structural and Multidisciplinary Optimization 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Acta Numerica 1 Journal of Computational Acoustics 1 Journal of Industrial and Management Optimization 1 Journal of Shanghai Jiaotong University (Science) 1 Acta Mechanica Sinica 1 Networks and Heterogeneous Media 1 Algorithms 1 International Journal for Numerical Methods in Biomedical Engineering 1 Mathematical Control and Related Fields 1 Journal of Mathematics in Industry 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Elliptic and Parabolic Equations 1 SMAI Journal of Computational Mathematics
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#### Cited in 34 Fields

 245 Numerical analysis (65-XX) 171 Partial differential equations (35-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 44 Fluid mechanics (76-XX) 40 Optics, electromagnetic theory (78-XX) 28 Mechanics of deformable solids (74-XX) 23 Biology and other natural sciences (92-XX) 20 Quantum theory (81-XX) 16 Operations research, mathematical programming (90-XX) 16 Information and communication theory, circuits (94-XX) 15 Geophysics (86-XX) 13 Approximations and expansions (41-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of particles and systems (70-XX) 10 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Differential geometry (53-XX) 7 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Integral transforms, operational calculus (44-XX) 6 Probability theory and stochastic processes (60-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX)