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2020 – today
- 2024
[j84]Wenhua Ma, Dongmi Luo
, Shiyi Li, Jianxian Qiu, Guoxi Ni, Yibing Chen:
High-order adaptive multi-resolution method on curvilinear grids I: Finite difference framework. J. Comput. Phys. 498: 112654 (2024)- [j83]Chaoyi Cai, Jianxian Qiu, Kailiang Wu:
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. J. Comput. Phys. 498: 112669 (2024) - [j82]Dongmi Luo, Shiyi Li, Jianxian Qiu, Jun Zhu, Yibing Chen:
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: Structured meshes. J. Comput. Phys. 504: 112886 (2024) - [j81]Zhanjing Tao, Jinming Zhang, Jun Zhu, Jianxian Qiu:
High-Order Multi-resolution Central Hermite WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 99(2): 40 (2024) - [j80]Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu:
Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations. J. Sci. Comput. 99(3): 70 (2024) - [i21]Chuan Fan, Jianxian Qiu, Zhuang Zhao:
A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws. CoRR abs/2402.03074 (2024) - [i20]Chaoyi Cai, Jianxian Qiu, Kailiang Wu:
Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD. CoRR abs/2404.05531 (2024) - [i19]Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu:
Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations. CoRR abs/2406.01479 (2024) - 2023
- [j79]Weizhang Huang, Ruo Li, Jianxian Qiu, Min Zhang:
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. J. Comput. Phys. 487: 112147 (2023) - [j78]Shiyi Li, Dongmi Luo, Jianxian Qiu, Song Jiang, Yibing Chen:
A one-stage high-order gas-kinetic scheme for multi-component flows with interface-sharpening technique. J. Comput. Phys. 490: 112318 (2023) - [j77]Yupeng Ren, Kailiang Wu, Jianxian Qiu, Yulong Xing:
On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation. J. Comput. Phys. 492: 112429 (2023) - [j76]Muyassar Ahmat, Jianxian Qiu:
Hybrid HWENO Method for Nonlinear Degenerate Parabolic Equations. J. Sci. Comput. 96(3): 83 (2023) - [j75]Muyassar Ahmat, Jianxian Qiu:
Direct WENO scheme for dispersion-type equations. Math. Comput. Simul. 204: 216-229 (2023) - [i18]Dongmi Luo, Shiyi Li, Jianxian Qiu, Jun Zhu, Yibing Chen:
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes. CoRR abs/2304.09724 (2023) - [i17]Chaoyi Cai, Jianxian Qiu, Kailiang Wu:
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. CoRR abs/2305.14805 (2023) - 2022
- [j74]Jianfang Lin, Yupeng Ren, Rémi Abgrall, Jianxian Qiu:
High order residual distribution conservative finite difference HWENO scheme for steady state problems. J. Comput. Phys. 457: 111045 (2022) - [j73]Chuan Fan, Xiangxiong Zhang, Jianxian Qiu:
Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 467: 111446 (2022) - [j72]Dongmi Luo, Shiyi Li, Weizhang Huang, Jianxian Qiu, Yibing Chen:
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework. J. Sci. Comput. 90(1): 46 (2022) - [j71]Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu:
High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN Transport Equations. J. Sci. Comput. 93(1): 3 (2022) - [j70]Jun Zhu, Jianxian Qiu:
A Finite Difference Mapped WENO Scheme with Unequal-Size Stencils for Hyperbolic Conservation Laws. J. Sci. Comput. 93(2): 72 (2022) - [i16]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. CoRR abs/2201.12193 (2022) - [i15]Weizhang Huang, Ruo Li, Jianxian Qiu, Min Zhang:
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. CoRR abs/2205.14560 (2022) - [i14]Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu:
Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations. CoRR abs/2208.03890 (2022) - 2021
- [j69]Muyassar Ahmat, Jianxian Qiu:
Compact ETDRK scheme for nonlinear dispersive wave equations. Comput. Appl. Math. 40(8) (2021) - [j68]Chuan Fan, Xiangxiong Zhang, Jianxian Qiu:
Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 445: 110596 (2021) - [j67]Feng Zheng, Chi-Wang Shu, Jianxian Qiu:
A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. 445: 110597 (2021) - [j66]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Multi-resolution HWENO schemes for hyperbolic conservation laws. J. Comput. Phys. 446: 110653 (2021) - [j65]Shiyi Li, Dongmi Luo, Jianxian Qiu, Yibing Chen:
A compact and efficient high-order gas-kinetic scheme. J. Comput. Phys. 447: 110661 (2021) - [j64]Min Zhang, Weizhang Huang, Jianxian Qiu:
A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography. J. Sci. Comput. 87(3): 88 (2021) - [j63]Dongmi Luo, Jianxian Qiu, Jun Zhu, Yibing Chen:
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux. J. Sci. Comput. 87(3): 96 (2021) - [j62]Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu:
A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System. SIAM J. Sci. Comput. 43(5): A3580-A3606 (2021) - [i13]Dongmi Luo, Shiyi Li, Weizhang Huang, Jianxian Qiu, Yibing Chen:
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux. CoRR abs/2101.04897 (2021) - [i12]Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu:
High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state SN transport equation. CoRR abs/2104.03480 (2021) - [i11]Jianfang Lin, Yupeng Ren, Rémi Abgrall, Jianxian Qiu:
High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems. CoRR abs/2104.06731 (2021) - [i10]Yupeng Ren, Yulong Xing, Jianxian Qiu:
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations. CoRR abs/2105.08227 (2021) - [i9]Min Zhang, Weizhang Huang, Jianxian Qiu:
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. CoRR abs/2106.08504 (2021) - 2020
- [j61]Hongqiang Zhu, Jianxian Qiu, Jun Zhu:
A simple, high-order and compact WENO limiter for RKDG method. Comput. Math. Appl. 79(2): 317-336 (2020) - [j60]Jun Zhu, Jianxian Qiu, Chi-Wang Shu:
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. J. Comput. Phys. 404 (2020) - [j59]Zhuang Zhao, Yibing Chen, Jianxian Qiu:
A hybrid Hermite WENO scheme for hyperbolic conservation laws. J. Comput. Phys. 405: 109175 (2020) - [j58]Min Zhang, Juan Cheng, Jianxian Qiu:
Corrigendum to "High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes" [J. Comput. Phys. 397 (2019) 108811]. J. Comput. Phys. 406: 109250 (2020) - [j57]Zhuang Zhao, Jianxian Qiu:
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. J. Comput. Phys. 417: 109583 (2020) - [j56]Jun Zhu, Feng Zheng, Jianxian Qiu:
New Finite Difference Hermite WENO Schemes for Hamilton-Jacobi Equations. J. Sci. Comput. 83(1): 7 (2020) - [j55]Yupeng Ren, Tao Xiong, Jianxian Qiu:
A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton-Jacobi Equations. J. Sci. Comput. 83(3): 54 (2020) - [j54]Zhuang Zhao, Yong-Tao Zhang, Jianxian Qiu:
A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws. J. Sci. Comput. 85(2): 29 (2020) - [j53]Min Zhang, Weizhang Huang, Jianxian Qiu:
High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer. SIAM J. Sci. Comput. 42(5): A3109-A3135 (2020) - [i8]Zhuang Zhao, Jianxian Qiu:
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. CoRR abs/2002.08816 (2020) - [i7]Min Zhang, Weizhang Huang, Jianxian Qiu:
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. CoRR abs/2006.15187 (2020) - [i6]Dongmi Luo, Jianxian Qiu, Jun Zhu, Yibing Chen:
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. CoRR abs/2007.06014 (2020) - [i5]Min Zhang, Weizhang Huang, Jianxian Qiu:
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. CoRR abs/2008.11594 (2020) - [i4]Zhuang Zhao, Yibing Chen, Jianxian Qiu:
A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems. CoRR abs/2009.00461 (2020) - [i3]Yupeng Ren, Yulong Xing, Jianxian Qiu:
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations. CoRR abs/2009.03494 (2020)
2010 – 2019
- 2019
- [j52]Dongmi Luo, Weizhang Huang, Jianxian Qiu:
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. 396: 544-578 (2019) - [j51]Min Zhang, Juan Cheng, Jianxian Qiu:
High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes. J. Comput. Phys. 397 (2019) - [j50]Jianfang Lin, Rémi Abgrall, Jianxian Qiu:
High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws. J. Sci. Comput. 79(2): 891-913 (2019) - [j49]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations. Numer. Algorithms 82(4): 1409-1440 (2019) - [i2]Zhuang Zhao, Yibing Chen, Jianxian Qiu:
A hybrid Hermite WENO scheme for hyperbolic conservation laws. CoRR abs/1906.09462 (2019) - [i1]Min Zhang, Weizhang Huang, Jianxian Qiu:
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. CoRR abs/1910.11931 (2019) - 2018
- [j48]Changna Lu, Weizhang Huang, Jianxian Qiu:
An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. J. Sci. Comput. 74(1): 122-144 (2018) - [j47]Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu:
Finite Volume HWENO Schemes for Nonconvex Conservation Laws. J. Sci. Comput. 75(1): 65-82 (2018) - [j46]Jun Zhu, Jianxian Qiu:
New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes. SIAM J. Sci. Comput. 40(2) (2018) - 2017
- [j45]Zhanjing Tao, Jianxian Qiu:
Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations. Adv. Comput. Math. 43(5): 1023-1058 (2017) - [j44]Feng Zheng, Chi-Wang Shu, Jianxian Qiu:
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. J. Comput. Phys. 337: 27-41 (2017) - [j43]Jun Zhu, Jianxian Qiu:
A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes. J. Comput. Phys. 349: 220-232 (2017) - [j42]Hongqiang Zhu, Jianxian Qiu, Jing-Mei Qiu:
An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model. J. Sci. Comput. 73(2-3): 1316-1337 (2017) - [j41]Jun Zhu, Jianxian Qiu:
A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 73(2-3): 1338-1359 (2017) - [j40]Jun Zhu, Jianxian Qiu:
A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 39(3) (2017) - 2016
- [j39]Feng Zheng, Jianxian Qiu:
Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes. J. Comput. Phys. 307: 423-445 (2016) - [j38]Dongmi Luo, Weizhang Huang, Jianxian Qiu:
A hybrid LDG-HWENO scheme for KdV-type equations. J. Comput. Phys. 313: 754-774 (2016) - [j37]Jun Zhu, Jianxian Qiu:
A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 318: 110-121 (2016) - [j36]Zhanjing Tao, Fengyan Li, Jianxian Qiu:
High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions. J. Comput. Phys. 318: 222-251 (2016) - [j35]Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu:
A conservative semi-Lagrangian HWENO method for the Vlasov equation. J. Comput. Phys. 323: 95-114 (2016) - [j34]Hongxia Liu, Jianxian Qiu:
Finite Difference Hermite WENO Schemes for Conservation Laws, II: An Alternative Approach. J. Sci. Comput. 66(2): 598-624 (2016) - [j33]Xiaofeng Cai, Xiangxiong Zhang, Jianxian Qiu:
Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations. J. Sci. Comput. 68(2): 464-483 (2016) - [j32]Hongqiang Zhu, Jianxian Qiu, Jing-Mei Qiu:
An h-Adaptive RKDG Method for the Vlasov-Poisson System. J. Sci. Comput. 69(3): 1346-1365 (2016) - 2015
- [j31]Zhanjing Tao, Fengyan Li, Jianxian Qiu:
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. J. Comput. Phys. 281: 148-176 (2015) - [j30]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
A moving mesh finite difference method for equilibrium radiation diffusion equations. J. Comput. Phys. 298: 661-677 (2015) - [j29]Hongxia Liu, Jianxian Qiu:
Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws. J. Sci. Comput. 63(2): 548-572 (2015) - [j28]Wei Guo, Jing-Mei Qiu, Jianxian Qiu:
A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence. J. Sci. Comput. 65(1): 299-326 (2015) - 2014
- [j27]Gang Li, Jianxian Qiu:
Hybrid WENO schemes with different indicators on curvilinear grids. Adv. Comput. Math. 40(4): 747-772 (2014) - [j26]Jun Zhu, Jianxian Qiu:
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: Unstructured meshes. Comput. Math. Appl. 68(10): 1137-1150 (2014) - [j25]Changna Lu, Weizhang Huang, Jianxian Qiu:
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Numerische Mathematik 127(3): 515-537 (2014) - 2013
- [j24]Hongqiang Zhu, Jianxian Qiu:
An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws. Adv. Comput. Math. 39(3-4): 445-463 (2013) - [j23]Yue Cheng, Fengyan Li, Jianxian Qiu, Liwei Xu:
Positivity-preserving DG and central DG methods for ideal MHD equations. J. Comput. Phys. 238: 255-280 (2013) - [j22]Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu:
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. J. Comput. Phys. 248: 200-220 (2013) - [j21]Jun Zhu, Jianxian Qiu:
Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes. J. Comput. Phys. 254: 76-92 (2013) - [j20]He Yang, Fengyan Li, Jianxian Qiu:
Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods. J. Sci. Comput. 55(3): 552-574 (2013) - [j19]Jun Zhu, Jianxian Qiu:
WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces. J. Sci. Comput. 55(3): 606-644 (2013) - 2012
- [j18]Chieh-Sen Huang, Todd Arbogast, Jianxian Qiu:
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. J. Comput. Phys. 231(11): 4028-4052 (2012) - [j17]Gang Li, Changna Lu, Jianxian Qiu:
Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations. J. Sci. Comput. 51(3): 527-559 (2012) - [j16]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
A Moving Mesh WENO Method for One-Dimensional Conservation Laws. SIAM J. Sci. Comput. 34(4) (2012) - 2011
- [j15]Rémi Abgrall, Jianxian Qiu:
Preface to the special issue "High order methods for CFD problems". J. Comput. Phys. 230(11): 4101-4102 (2011) - [j14]Jun Zhu, Jianxian Qiu:
Local DG method using WENO type limiters for convection-diffusion problems. J. Comput. Phys. 230(11): 4353-4375 (2011) - [j13]Wei Guo, Fengyan Li, Jianxian Qiu:
Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations. J. Sci. Comput. 47(2): 239-257 (2011) - [j12]Changna Lu, Jianxian Qiu:
Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes. J. Sci. Comput. 47(3): 281-302 (2011) - 2010
- [j11]Gang Li, Jianxian Qiu:
Hybrid weighted essentially non-oscillatory schemes with different indicators. J. Comput. Phys. 229(21): 8105-8129 (2010)
2000 – 2009
- 2009
- [j10]Hongqiang Zhu, Jianxian Qiu:
Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. J. Comput. Phys. 228(18): 6957-6976 (2009) - [j9]Jun Zhu, Jianxian Qiu:
Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes. J. Sci. Comput. 39(2): 293-321 (2009) - [j8]Fuzheng Gao, Jianxian Qiu, Qiang Zhang:
Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation. J. Sci. Comput. 41(3): 436-460 (2009) - 2008
- [j7]Jun Zhu, Jianxian Qiu, Chi-Wang Shu, Michael Dumbser:
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. J. Comput. Phys. 227(9): 4330-4353 (2008) - 2007
- [j6]Jianxian Qiu, Tiegang Liu, Boo Cheong Khoo:
Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case. J. Comput. Phys. 222(1): 353-373 (2007) - [j5]Jianxian Qiu:
A Numerical Comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes. J. Sci. Comput. 30(3): 345-367 (2007) - 2006
- [j4]Jianxian Qiu, Boo Cheong Khoo, Chi-Wang Shu:
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. J. Comput. Phys. 212(2): 540-565 (2006) - 2005
- [j3]Jianxian Qiu, Chi-Wang Shu:
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. SIAM J. Sci. Comput. 26(3): 907-929 (2005) - [j2]Jianxian Qiu, Chi-Wang Shu:
A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. SIAM J. Sci. Comput. 27(3): 995-1013 (2005) - 2003
- [j1]Jianxian Qiu, Chi-Wang Shu:
Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations. SIAM J. Sci. Comput. 24(6): 2185-2198 (2003)
Coauthor Index
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