Hu, Yinggang; Jiang, Yanqun; Huang, Xiaoqian; Zhang, Wei High-order weighted compact nonlinear scheme for solving degenerate parabolic equations. (English) Zbl 07803448 Comput. Appl. Math. 43, No. 1, Paper No. 40, 17 p. (2024). MSC: 65M06 PDFBibTeX XMLCite \textit{Y. Hu} et al., Comput. Appl. Math. 43, No. 1, Paper No. 40, 17 p. (2024; Zbl 07803448) Full Text: DOI
Zhao, Fengxiang; Gan, Jianping; Xu, Kun High-order compact gas-kinetic scheme for two-layer shallow water equations on unstructured mesh. (English) Zbl 07797630 J. Comput. Phys. 498, Article ID 112651, 19 p. (2024). MSC: 76Mxx 65Mxx 76Bxx PDFBibTeX XMLCite \textit{F. Zhao} et al., J. Comput. Phys. 498, Article ID 112651, 19 p. (2024; Zbl 07797630) Full Text: DOI arXiv
Gu, Jie; Nong, Lijuan; Yi, Qian; Chen, An Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. (English) Zbl 07798677 Netw. Heterog. Media 18, No. 4, 1692-1712 (2023). MSC: 91G60 65M06 35R11 PDFBibTeX XMLCite \textit{J. Gu} et al., Netw. Heterog. Media 18, No. 4, 1692--1712 (2023; Zbl 07798677) Full Text: DOI
Almushaira, Mustafa Efficient eighth-order accurate energy-preserving compact difference schemes for the coupled Schrödinger-Boussinesq equations. (English) Zbl 07789827 Math. Methods Appl. Sci. 46, No. 16, 17199-17225 (2023). MSC: 65M06 35Q55 65M12 35Q35 PDFBibTeX XMLCite \textit{M. Almushaira}, Math. Methods Appl. Sci. 46, No. 16, 17199--17225 (2023; Zbl 07789827) Full Text: DOI
Li, Da; Li, Keran; Liao, Wenyuan A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media. (English) Zbl 07769109 Numer. Methods Partial Differ. Equations 39, No. 6, 4062-4086 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4062--4086 (2023; Zbl 07769109) Full Text: DOI OA License
Wu, Mengling; Wang, Zhi; Ge, Yongbin High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations. (English) Zbl 1520.65055 Comput. Geosci. 27, No. 4, 687-705 (2023). MSC: 65L05 65M06 65N06 35L05 35Q35 PDFBibTeX XMLCite \textit{M. Wu} et al., Comput. Geosci. 27, No. 4, 687--705 (2023; Zbl 1520.65055) Full Text: DOI
Clain, Stéphane; Pereira, Rui M. S.; Pereira, Paulo A.; Lopes, Diogo Structural schemes for one dimension stationary equations. (English) Zbl 07736227 Appl. Math. Comput. 457, Article ID 128207, 23 p. (2023). MSC: 65Mxx 65Nxx 65Lxx PDFBibTeX XMLCite \textit{S. Clain} et al., Appl. Math. Comput. 457, Article ID 128207, 23 p. (2023; Zbl 07736227) Full Text: DOI
Sun, Y. X.; Tian, Z. F. An efficient fourth-order three-point scheme for solving some nonlinear dispersive wave equations. (English) Zbl 07733035 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107366, 23 p. (2023). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{Y. X. Sun} and \textit{Z. F. Tian}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107366, 23 p. (2023; Zbl 07733035) Full Text: DOI
Fishelov, D.; Croisille, J.-P. Optimal convergence for time-dependent linearized Kuramoto-Sivashinsky type problems: a new approach. (English) Zbl 07732725 J. Comput. Appl. Math. 429, Article ID 115229, 14 p. (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{D. Fishelov} and \textit{J. P. Croisille}, J. Comput. Appl. Math. 429, Article ID 115229, 14 p. (2023; Zbl 07732725) Full Text: DOI
Wu, Zhuohang; Ren, Yuxin The compact and accuracy preserving limiter for high-order finite volume schemes solving compressible flows. (English) Zbl 07722597 J. Sci. Comput. 96, No. 3, Paper No. 77, 30 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Y. Ren}, J. Sci. Comput. 96, No. 3, Paper No. 77, 30 p. (2023; Zbl 07722597) Full Text: DOI
Wu, Pinxia; Pan, Kejia; Ling, Weiwei; He, Dongdong An efficient EXCMG-Newton method combined with fourth-order compact schemes for semilinear Poisson equations. (English) Zbl 1514.65154 East Asian J. Appl. Math. 13, No. 1, 119-139 (2023). MSC: 65N06 65N55 PDFBibTeX XMLCite \textit{P. Wu} et al., East Asian J. Appl. Math. 13, No. 1, 119--139 (2023; Zbl 1514.65154) Full Text: DOI
Doostaki, Reza; Hosseini, Mohammad Mehdi; Salemi, Abbas A new simultaneously compact finite difference scheme for high-dimensional time-dependent PDEs. (English) Zbl 07704448 Math. Comput. Simul. 212, 504-523 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Doostaki} et al., Math. Comput. Simul. 212, 504--523 (2023; Zbl 07704448) Full Text: DOI
Roul, Pradip; Kumari, Trishna A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems. (English) Zbl 1524.65283 Int. J. Comput. Math. 100, No. 3, 572-590 (2023). MSC: 65L10 34B16 65L12 65L60 PDFBibTeX XMLCite \textit{P. Roul} and \textit{T. Kumari}, Int. J. Comput. Math. 100, No. 3, 572--590 (2023; Zbl 1524.65283) Full Text: DOI
Jiang, Yunzhi; Ge, Yongbin An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound. (English) Zbl 1524.35345 Int. J. Comput. Math. 100, No. 2, 321-341 (2023). MSC: 35L05 65M06 65M12 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Ge}, Int. J. Comput. Math. 100, No. 2, 321--341 (2023; Zbl 1524.35345) Full Text: DOI
Yang, Xiaojia; Zhang, Lin; Ge, Yongbin High-order compact finite difference schemes for solving the regularized long-wave equation. (English) Zbl 07699004 Appl. Numer. Math. 185, 165-187 (2023). MSC: 65Mxx 35Qxx 76Mxx PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Numer. Math. 185, 165--187 (2023; Zbl 07699004) Full Text: DOI
Wang, Lan; Kong, Linghua; Chen, Meng; Zhu, Pengfei; Guo, Huacheng Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations. (English) Zbl 1518.65095 J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023). MSC: 65M06 65N06 65P10 65M12 65Z05 35Q55 35Q41 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023; Zbl 1518.65095) Full Text: DOI
Zhao, Wenjin; Cao, Guiyu; Wang, Jianchun; Xu, Kun High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation. (English) Zbl 1521.76270 Comput. Fluids 256, Article ID 105846, 15 p. (2023). MSC: 76F65 PDFBibTeX XMLCite \textit{W. Zhao} et al., Comput. Fluids 256, Article ID 105846, 15 p. (2023; Zbl 1521.76270) Full Text: DOI arXiv
Clain, Stéphane; Machado, Gaspar J.; Malheiro, M. T. Compact schemes in time with applications to partial differential equations. (English) Zbl 07692038 Comput. Math. Appl. 140, 107-125 (2023). MSC: 65L05 65L06 65L20 65D25 65-XX PDFBibTeX XMLCite \textit{S. Clain} et al., Comput. Math. Appl. 140, 107--125 (2023; Zbl 07692038) Full Text: DOI
Zhao, Xuan; Li, Ziyan; Li, Xiaoli High order compact finite difference methods for non-Fickian flows in porous media. (English) Zbl 07674313 Comput. Math. Appl. 136, 95-111 (2023). MSC: 76M20 65M06 76S05 PDFBibTeX XMLCite \textit{X. Zhao} et al., Comput. Math. Appl. 136, 95--111 (2023; Zbl 07674313) Full Text: DOI arXiv
Deriaz, Erwan High-order adaptive mesh refinement multigrid Poisson solver in any dimension. (English) Zbl 07662515 J. Comput. Phys. 480, Article ID 112012, 18 p. (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{E. Deriaz}, J. Comput. Phys. 480, Article ID 112012, 18 p. (2023; Zbl 07662515) Full Text: DOI
Wu, Yu; Ge, Yongbin; Zhang, Lin A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term. (English) Zbl 1524.35153 Comput. Appl. Math. 42, No. 1, Paper No. 46, 32 p. (2023). MSC: 35G31 35K58 35K65 35K67 PDFBibTeX XMLCite \textit{Y. Wu} et al., Comput. Appl. Math. 42, No. 1, Paper No. 46, 32 p. (2023; Zbl 1524.35153) Full Text: DOI
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun Direct modeling for computational fluid dynamics and the construction of high-order compact scheme for compressible flow simulations. (English) Zbl 07652814 J. Comput. Phys. 477, Article ID 111921, 22 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Zhao} et al., J. Comput. Phys. 477, Article ID 111921, 22 p. (2023; Zbl 07652814) Full Text: DOI arXiv
Hu, Shuanggui; Pan, Kejia; Wu, Xiaoxin; Ge, Yongbin; Li, Zhilin An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems. (English) Zbl 07644186 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115724, 24 p. (2023). MSC: 65N06 65N55 PDFBibTeX XMLCite \textit{S. Hu} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115724, 24 p. (2023; Zbl 07644186) Full Text: DOI
Zhang, Lin; Ge, Yongbin; Wang, Zhi Positivity-preserving high-order compact difference method for the Keller-Segel chemotaxis model. (English) Zbl 1508.92033 Math. Biosci. Eng. 19, No. 7, 6764-6794 (2022). MSC: 92C17 35K55 65M06 PDFBibTeX XMLCite \textit{L. Zhang} et al., Math. Biosci. Eng. 19, No. 7, 6764--6794 (2022; Zbl 1508.92033) Full Text: DOI
Ma, Yankai; Yan, Zhen-Guo; Liu, Huayong; Min, Yaobing; Zhu, Huajun Improved weighted compact nonlinear scheme for implicit large-eddy simulations. (English) Zbl 1521.76237 Comput. Fluids 240, Article ID 105412, 12 p. (2022). MSC: 76F65 76M20 PDFBibTeX XMLCite \textit{Y. Ma} et al., Comput. Fluids 240, Article ID 105412, 12 p. (2022; Zbl 1521.76237) Full Text: DOI
Kovyrkina, O. A.; Kurganov, A. A.; Ostapenko, V. V. Comparative analysis of the accuracy of three different schemes in the calculation of shock waves. (Russian. English summary) Zbl 1514.76055 Mat. Model. 34, No. 10, 43-64 (2022). MSC: 76M20 76M12 76L05 PDFBibTeX XMLCite \textit{O. A. Kovyrkina} et al., Mat. Model. 34, No. 10, 43--64 (2022; Zbl 1514.76055) Full Text: DOI MNR
Jha, Navnit; Verma, Shikha A high-resolution convergent radial basis functions compact-FDD for boundary layer problems on a scattered mesh network appearing in viscous elastic fluid. (English) Zbl 1513.65244 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 244, 27 p. (2022). MSC: 65L12 34B16 41A25 65D12 65L10 65L20 PDFBibTeX XMLCite \textit{N. Jha} and \textit{S. Verma}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 244, 27 p. (2022; Zbl 1513.65244) Full Text: DOI
Shen, Hua; Jahdali, Rasha Al; Parsani, Matteo A class of high-order weighted compact central schemes for solving hyperbolic conservation laws. (English) Zbl 07561061 J. Comput. Phys. 466, Article ID 111370, 28 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{H. Shen} et al., J. Comput. Phys. 466, Article ID 111370, 28 p. (2022; Zbl 07561061) Full Text: DOI arXiv
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations. (English) Zbl 07524803 J. Comput. Phys. 449, Article ID 110812, 28 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{F. Zhao} et al., J. Comput. Phys. 449, Article ID 110812, 28 p. (2022; Zbl 07524803) Full Text: DOI arXiv
Nwankwo, Chinonso; Dai, Weizhong On the efficiency of 5(4) RK-embedded pairs with high order compact scheme and Robin boundary condition for options valuation. (English) Zbl 1492.91429 Japan J. Ind. Appl. Math. 39, No. 2, 753-775 (2022). MSC: 91G60 65L06 91G20 60G40 PDFBibTeX XMLCite \textit{C. Nwankwo} and \textit{W. Dai}, Japan J. Ind. Appl. Math. 39, No. 2, 753--775 (2022; Zbl 1492.91429) Full Text: DOI arXiv
Zhang, Xu; Jiang, Yanqun; Hu, Yinggang; Chen, Xun High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers’ equations. (English) Zbl 07487723 Math. Comput. Simul. 196, 151-165 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{X. Zhang} et al., Math. Comput. Simul. 196, 151--165 (2022; Zbl 07487723) Full Text: DOI
Hiejima, Toshihiko A high-order weighted compact nonlinear scheme for compressible Flows. (English) Zbl 1521.76541 Comput. Fluids 232, Article ID 105199, 11 p. (2022). MSC: 76M20 76Nxx PDFBibTeX XMLCite \textit{T. Hiejima}, Comput. Fluids 232, Article ID 105199, 11 p. (2022; Zbl 1521.76541) Full Text: DOI
Naseri, A. Mokhtari; Najafi, H. Saberi The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme. (English) Zbl 1490.76161 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 251, 16 p. (2021). MSC: 76M20 76E25 76R99 PDFBibTeX XMLCite \textit{A. M. Naseri} and \textit{H. S. Najafi}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 251, 16 p. (2021; Zbl 1490.76161) Full Text: DOI
Bragin, M. D.; Rogov, B. V. Accuracy of bicompact schemes in the problem of Taylor-Green vortex decay. (English. Russian original) Zbl 1501.76055 Comput. Math. Math. Phys. 61, No. 11, 1723-1742 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1759-1778 (2021). MSC: 76M20 76D05 65M12 PDFBibTeX XMLCite \textit{M. D. Bragin} and \textit{B. V. Rogov}, Comput. Math. Math. Phys. 61, No. 11, 1723--1742 (2021; Zbl 1501.76055); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1759--1778 (2021) Full Text: DOI
Fishelov, D.; Croisille, J.-P. Optimal convergence for time-dependent Stokes equation: a new approach. (English) Zbl 07435292 J. Sci. Comput. 89, No. 3, Paper No. 66, 32 p. (2021). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{D. Fishelov} and \textit{J. P. Croisille}, J. Sci. Comput. 89, No. 3, Paper No. 66, 32 p. (2021; Zbl 07435292) Full Text: DOI
Lee, Seunggyu Non-iterative compact operator splitting scheme for Allen-Cahn equation. (English) Zbl 1476.35126 Comput. Appl. Math. 40, No. 7, Paper No. 254, 9 p. (2021). MSC: 35K61 65M06 65M12 PDFBibTeX XMLCite \textit{S. Lee}, Comput. Appl. Math. 40, No. 7, Paper No. 254, 9 p. (2021; Zbl 1476.35126) Full Text: DOI
Kong, Linghua; Luo, Yiyang; Wang, Lan; Chen, Meng; Zhao, Zhi HOC-ADI schemes for two-dimensional Ginzburg-Landau equation in superconductivity. (English) Zbl 07431528 Math. Comput. Simul. 190, 494-507 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{L. Kong} et al., Math. Comput. Simul. 190, 494--507 (2021; Zbl 07431528) Full Text: DOI
Zhang, Huaibao; Xu, Chunguang; Dong, Haibo An extended seventh-order compact nonlinear scheme with positivity-preserving property. (English) Zbl 1521.76603 Comput. Fluids 229, Article ID 105085, 17 p. (2021). MSC: 76M20 65M06 76Nxx PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Fluids 229, Article ID 105085, 17 p. (2021; Zbl 1521.76603) Full Text: DOI
Hou, Bo; Ge, Yongbin High-order compact LOD methods for solving high-dimensional advection equations. (English) Zbl 1476.35136 Comput. Appl. Math. 40, No. 3, Paper No. 102, 23 p. (2021). MSC: 35L35 35G16 PDFBibTeX XMLCite \textit{B. Hou} and \textit{Y. Ge}, Comput. Appl. Math. 40, No. 3, Paper No. 102, 23 p. (2021; Zbl 1476.35136) Full Text: DOI
Wang, Shengfeng; Zhang, Xiaohua; Koellermeier, Julian; Ji, Daobin A combination of high-order compact finite difference schemes and a splitting method that preserves accuracy for the multi-dimensional Burgers’ equation. (English) Zbl 1488.65295 Adv. Appl. Math. Mech. 13, No. 5, 1261-1292 (2021). MSC: 65M06 65N06 65L06 65M12 78M20 35Q35 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1261--1292 (2021; Zbl 1488.65295) Full Text: DOI
Wang, Lan; Cai, Wenjun; Wang, Yushun An energy-preserving scheme for the coupled Gross-Pitaevskii equations. (English) Zbl 1488.65294 Adv. Appl. Math. Mech. 13, No. 1, 203-231 (2021). MSC: 65M06 65M12 65Z05 65N06 35Q55 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 13, No. 1, 203--231 (2021; Zbl 1488.65294) Full Text: DOI
Li, Ming; Zheng, Zhoushun An efficient multiscale-like multigrid computation for 2D convection-diffusion equations on nonuniform grids. (English) Zbl 1473.65340 Math. Methods Appl. Sci. 44, No. 4, 3214-3224 (2021). MSC: 65N55 65N06 PDFBibTeX XMLCite \textit{M. Li} and \textit{Z. Zheng}, Math. Methods Appl. Sci. 44, No. 4, 3214--3224 (2021; Zbl 1473.65340) Full Text: DOI
Zhao, Xinran; Scalo, Carlo Helicity dynamics in reconnection events of topologically complex vortex flows. (English) Zbl 1503.76079 J. Fluid Mech. 920, Paper No. A30, 24 p. (2021). MSC: 76N06 76M20 57K99 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{C. Scalo}, J. Fluid Mech. 920, Paper No. A30, 24 p. (2021; Zbl 1503.76079) Full Text: DOI
Zhang, Lin; Ge, Yongbin Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method. (English) Zbl 1475.65089 Appl. Numer. Math. 166, 127-145 (2021). MSC: 65M06 65N06 65B05 65H10 65F05 65M12 35K57 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Y. Ge}, Appl. Numer. Math. 166, 127--145 (2021; Zbl 1475.65089) Full Text: DOI
Chen, Jinqiang; Yu, Peixiang; Ouyang, Hua; Tian, Zhen F. A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion. (English) Zbl 1456.65060 J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021). MSC: 65M06 65M15 65Y05 76N06 35Q31 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021; Zbl 1456.65060) Full Text: DOI
Ma, Tingfu; Ge, Yongbin High-order compact difference method for two-dimension elliptic and parabolic equations with mixed derivatives. (English) Zbl 1487.65173 Tbil. Math. J. 13, No. 4, 141-167 (2020). MSC: 65N06 65N15 65N22 PDFBibTeX XMLCite \textit{T. Ma} and \textit{Y. Ge}, Tbil. Math. J. 13, No. 4, 141--167 (2020; Zbl 1487.65173) Full Text: DOI
Wongsaijai, Ben; Sukantamala, Nattakorn; Poochinapan, Kanyuta A mass-conservative higher-order ADI method for solving unsteady convection-diffusion equations. (English) Zbl 1486.65134 Adv. Difference Equ. 2020, Paper No. 513, 23 p. (2020). MSC: 65M06 65M12 35K15 65N30 65N12 PDFBibTeX XMLCite \textit{B. Wongsaijai} et al., Adv. Difference Equ. 2020, Paper No. 513, 23 p. (2020; Zbl 1486.65134) Full Text: DOI
Jaiswal, Devanand; Kalita, Jiten C. Effect of straining on spiral wave dynamics in excitable media. (English) Zbl 1504.92045 Physica D 409, Article ID 132483, 15 p. (2020). MSC: 92C40 35Q92 PDFBibTeX XMLCite \textit{D. Jaiswal} and \textit{J. C. Kalita}, Physica D 409, Article ID 132483, 15 p. (2020; Zbl 1504.92045) Full Text: DOI
Jiang, Yunzhi; Ge, Yongbin An explicit fourth-order compact difference scheme for solving the 2D wave equation. (English) Zbl 1486.65108 Adv. Difference Equ. 2020, Paper No. 415, 14 p. (2020). MSC: 65M06 65M12 35L05 76Q05 65M15 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Ge}, Adv. Difference Equ. 2020, Paper No. 415, 14 p. (2020; Zbl 1486.65108) Full Text: DOI
Su, Baojin; Jiang, Ziwen High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation. (English) Zbl 1485.65098 Adv. Difference Equ. 2020, Paper No. 689, 22 p. (2020). MSC: 65M08 35R11 26A33 65M12 PDFBibTeX XMLCite \textit{B. Su} and \textit{Z. Jiang}, Adv. Difference Equ. 2020, Paper No. 689, 22 p. (2020; Zbl 1485.65098) Full Text: DOI
Khan, Muhammad Asim; Ali, Norhashidah Hj. Mohd High-order compact scheme for the two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid. (English) Zbl 1482.76086 Adv. Difference Equ. 2020, Paper No. 233, 21 p. (2020). MSC: 76M20 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Khan} and \textit{N. Hj. M. Ali}, Adv. Difference Equ. 2020, Paper No. 233, 21 p. (2020; Zbl 1482.76086) Full Text: DOI
He, Zengjia; Kong, Linghua; Fu, Fangfang The splitting high-order compact difference scheme for two-dimensional Gross-Pitaevskii equation. (Chinese. English summary) Zbl 1474.65276 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 44, No. 6, 599-603 (2020). MSC: 65M06 65N06 65M12 65N12 35Q55 PDFBibTeX XMLCite \textit{Z. He} et al., J. Jiangxi Norm. Univ., Nat. Sci. Ed. 44, No. 6, 599--603 (2020; Zbl 1474.65276) Full Text: DOI
Jaiswal, Devanand; Kalita, Jiten C. Novel high-order compact approach for dynamics of spiral waves in excitable media. (English) Zbl 1464.76124 Appl. Math. Modelling 77, Part 1, 341-359 (2020). MSC: 76M20 76V05 76R50 65M12 92C10 PDFBibTeX XMLCite \textit{D. Jaiswal} and \textit{J. C. Kalita}, Appl. Math. Modelling 77, Part 1, 341--359 (2020; Zbl 1464.76124) Full Text: DOI
Bai, Zeyu; Zhong, Xiaolin A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows. (English) Zbl 1519.76226 Comput. Fluids 197, Article ID 104356, 29 p. (2020). MSC: 76M22 65M06 76M20 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{X. Zhong}, Comput. Fluids 197, Article ID 104356, 29 p. (2020; Zbl 1519.76226) Full Text: DOI
Capdeville, G. Compact high-order numerical schemes for scalar hyperbolic partial differential equations. (English) Zbl 1422.65147 J. Comput. Appl. Math. 363, 171-210 (2020). MSC: 65M06 65M20 65M08 65T50 68W30 33C45 65F25 PDFBibTeX XMLCite \textit{G. Capdeville}, J. Comput. Appl. Math. 363, 171--210 (2020; Zbl 1422.65147) Full Text: DOI
Liseĭkin, V. D.; Paasonen, V. I. Compact difference schemes and layer-resolving grids for the numerical modeling of problems with boundary and interior layers. (Russian. English summary) Zbl 07607903 Sib. Zh. Vychisl. Mat. 22, No. 1, 41-56 (2019). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{V. D. Liseĭkin} and \textit{V. I. Paasonen}, Sib. Zh. Vychisl. Mat. 22, No. 1, 41--56 (2019; Zbl 07607903) Full Text: DOI MNR
Li, Qing; Yang, Qing Compact difference scheme for two-dimensional fourth-order hyperbolic equation. (English) Zbl 1485.65094 Adv. Difference Equ. 2019, Paper No. 328, 19 p. (2019). MSC: 65M06 65M15 65M12 65M70 65N06 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Q. Yang}, Adv. Difference Equ. 2019, Paper No. 328, 19 p. (2019; Zbl 1485.65094) Full Text: DOI
Jiang, Yi; Mao, Meiliang; Deng, Xiaogang; Liu, Huayong Multiderivative combined dissipative compact scheme satisfying geometric conservation law. II: Applications on complex curvilinear meshes. (English) Zbl 1488.76074 Adv. Appl. Math. Mech. 11, No. 2, 285-311 (2019). MSC: 76Fxx 76Gxx PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Appl. Math. Mech. 11, No. 2, 285--311 (2019; Zbl 1488.76074) Full Text: DOI
Subramaniam, Akshay; Wong, Man Long; Lele, Sanjiva K. A high-order weighted compact high resolution scheme with boundary closures for compressible turbulent flows with shocks. (English) Zbl 1453.76142 J. Comput. Phys. 397, Article ID 108822, 42 p. (2019). MSC: 76M20 65M06 76F50 76L05 PDFBibTeX XMLCite \textit{A. Subramaniam} et al., J. Comput. Phys. 397, Article ID 108822, 42 p. (2019; Zbl 1453.76142) Full Text: DOI arXiv
Kong, Linghua; Hong, Yuqi; Tian, Nana; Zhou, Wenying Stable and efficient numerical schemes for two-dimensional Maxwell equations in lossy medium. (English) Zbl 1453.78014 J. Comput. Phys. 397, Article ID 108703, 21 p. (2019). MSC: 78M20 65M12 65M06 65Z05 PDFBibTeX XMLCite \textit{L. Kong} et al., J. Comput. Phys. 397, Article ID 108703, 21 p. (2019; Zbl 1453.78014) Full Text: DOI
Mazaheri, Alireza; Shu, Chi-Wang; Perrier, Vincent Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: triangular elements. (English) Zbl 1452.76097 J. Comput. Phys. 395, 461-488 (2019). MSC: 76M10 76N15 65M60 PDFBibTeX XMLCite \textit{A. Mazaheri} et al., J. Comput. Phys. 395, 461--488 (2019; Zbl 1452.76097) Full Text: DOI HAL
Yu, P. X.; Tian, Z. F. A high-order compact scheme for the pure streamfunction (vector potential) formulation of the 3D steady incompressible Navier-Stokes equations. (English) Zbl 1451.76088 J. Comput. Phys. 382, 65-85 (2019). MSC: 76M20 76D05 65M06 PDFBibTeX XMLCite \textit{P. X. Yu} and \textit{Z. F. Tian}, J. Comput. Phys. 382, 65--85 (2019; Zbl 1451.76088) Full Text: DOI
Li, Ji; Zhong, Chengwen; Zhuo, Congshan A third order gas-kinetic scheme for unstructured grid. (English) Zbl 1442.76105 Comput. Math. Appl. 78, No. 1, 92-109 (2019). MSC: 76P05 82D05 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 78, No. 1, 92--109 (2019; Zbl 1442.76105) Full Text: DOI arXiv
Sheng, Xiulan; Zhao, Runmiao; Wu, Hongwei A high order difference scheme for two-dimensional linear hyperbolic equation with Neumann boundary conditions. (Chinese. English summary) Zbl 1449.65199 Math. Numer. Sin. 41, No. 3, 266-294 (2019). MSC: 65M06 65M12 65N06 35L25 PDFBibTeX XMLCite \textit{X. Sheng} et al., Math. Numer. Sin. 41, No. 3, 266--294 (2019; Zbl 1449.65199)
Yang, Xiaojia; Ge, Yongbin; Zhang, Lin A class of high-order compact difference schemes for solving the Burgers’ equations. (English) Zbl 1429.65204 Appl. Math. Comput. 358, 394-417 (2019). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Math. Comput. 358, 394--417 (2019; Zbl 1429.65204) Full Text: DOI
Dong, Jianqiang; Luo, Chuansheng; Li, Chunguang; Jing, Hefang Based on spline interpolation for solving the convection-diffusion equation. (Chinese. English summary) Zbl 1438.65171 Math. Pract. Theory 49, No. 8, 193-200 (2019). MSC: 65M06 65M12 65D05 41A21 65D07 76R05 PDFBibTeX XMLCite \textit{J. Dong} et al., Math. Pract. Theory 49, No. 8, 193--200 (2019; Zbl 1438.65171)
Sheng, Xiulan; Hao, Zongyan; Wu, Hongwei A high order accuracy difference scheme for the nonlinear Klein-Gordon equation with Neumann boundary conditions. (Chinese. English summary) Zbl 1438.65189 J. Math., Wuhan Univ. 39, No. 1, 77-86 (2019). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{X. Sheng} et al., J. Math., Wuhan Univ. 39, No. 1, 77--86 (2019; Zbl 1438.65189) Full Text: DOI
Wu, S.; Peng, B.; Tian, Z. F. Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows. (English) Zbl 1448.76198 Appl. Numer. Math. 146, 89-122 (2019). MSC: 76W05 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Wu} et al., Appl. Numer. Math. 146, 89--122 (2019; Zbl 1448.76198) Full Text: DOI
Qin, Jiaxian; Chen, Yaming; Deng, Xiaogang Stabilized seventh-order dissipative compact scheme using simultaneous approximation terms. (English) Zbl 1416.76187 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 823-836 (2019). MSC: 76M20 65L20 PDFBibTeX XMLCite \textit{J. Qin} et al., AMM, Appl. Math. Mech., Engl. Ed. 40, No. 6, 823--836 (2019; Zbl 1416.76187) Full Text: DOI
Bai, Zeyu; Zhong, Xiaolin New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations. (English) Zbl 1416.76170 J. Comput. Phys. 378, 63-109 (2019). MSC: 76M20 76K05 76N15 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{X. Zhong}, J. Comput. Phys. 378, 63--109 (2019; Zbl 1416.76170) Full Text: DOI
Zhu, Huajun; Yan, Zhenguo; Liu, Huayong; Mao, Meiliang; Deng, Xiaogang High-order hybrid WCNS-CPR schemes on hybrid meshes with curved edges for conservation laws. I: Spatial accuracy and geometric conservation laws. (English) Zbl 1488.65324 Commun. Comput. Phys. 23, No. 5, 1355-1392 (2018). MSC: 65M06 65M60 65M12 35L65 PDFBibTeX XMLCite \textit{H. Zhu} et al., Commun. Comput. Phys. 23, No. 5, 1355--1392 (2018; Zbl 1488.65324) Full Text: DOI
Abin Rejeesh, A. D.; Udhayakumar, S.; Sekhar, T. V. S.; Sivakumar, Rajagopalan Development of a high order discretization scheme for solving fully nonlinear magnetohydrodynamic equations. (English) Zbl 1453.65382 J. Appl. Anal. Comput. 8, No. 1, 42-65 (2018). MSC: 65N06 74S20 76R05 76W05 35J66 PDFBibTeX XMLCite \textit{A. D. Abin Rejeesh} et al., J. Appl. Anal. Comput. 8, No. 1, 42--65 (2018; Zbl 1453.65382) Full Text: DOI
Zhang, Xiaohua; Zhang, Ping A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation. (English) Zbl 1429.65208 Appl. Math. Comput. 339, 535-545 (2018). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{P. Zhang}, Appl. Math. Comput. 339, 535--545 (2018; Zbl 1429.65208) Full Text: DOI
Ji, Xing; Pan, Liang; Shyy, Wei; Xu, Kun A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. (English) Zbl 1415.76470 J. Comput. Phys. 372, 446-472 (2018). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{X. Ji} et al., J. Comput. Phys. 372, 446--472 (2018; Zbl 1415.76470) Full Text: DOI arXiv
Su, Yunde; Kim, Seung Hyun An improved consistent, conservative, non-oscillatory and high order finite difference scheme for variable density low Mach number turbulent flow simulation. (English) Zbl 1415.76487 J. Comput. Phys. 372, 202-219 (2018). MSC: 76M20 76N15 65M06 PDFBibTeX XMLCite \textit{Y. Su} and \textit{S. H. Kim}, J. Comput. Phys. 372, 202--219 (2018; Zbl 1415.76487) Full Text: DOI Link
Wang, Lan; Wang, Yushun High order compact multisymplectic scheme for coupled nonlinear Schrödinger-KdV equations. (English) Zbl 1424.65244 J. Comput. Math. 36, No. 4, 591-604 (2018). MSC: 65P10 35Q53 35Q55 65M06 70H15 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Wang}, J. Comput. Math. 36, No. 4, 591--604 (2018; Zbl 1424.65244) Full Text: DOI Link
Eskar, Rena; Huang, Pengzhan; Feng, Xinlong A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. (English) Zbl 1455.65128 Adv. Difference Equ. 2018, Paper No. 286, 15 p. (2018). MSC: 65M06 35Q55 65M12 PDFBibTeX XMLCite \textit{R. Eskar} et al., Adv. Difference Equ. 2018, Paper No. 286, 15 p. (2018; Zbl 1455.65128) Full Text: DOI
Lin, Yu; Chen, Yaming; Xu, Chuanfu; Deng, Xiaogang Optimization of a global seventh-order dissipative compact finite-difference scheme by a genetic algorithm. (English) Zbl 1404.76181 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 11, 1679-1690 (2018). MSC: 76M20 PDFBibTeX XMLCite \textit{Y. Lin} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 11, 1679--1690 (2018; Zbl 1404.76181) Full Text: DOI
Abide, Stéphane; Viazzo, Stéphane; Raspo, Isabelle; Randriamampianina, Anthony Higher-order compact scheme for high-performance computing of stratified rotating flows. (English) Zbl 1410.76278 Comput. Fluids 174, 300-310 (2018). MSC: 76M20 65M06 76D05 76D50 76U05 PDFBibTeX XMLCite \textit{S. Abide} et al., Comput. Fluids 174, 300--310 (2018; Zbl 1410.76278) Full Text: DOI Link
Yuan, Dongfang; Cao, Fujun; Ge, Yongbin High order compact difference scheme on adaptive mesh for convection-diffusion problems with boundary layers. (Chinese. English summary) Zbl 1413.65333 J. Northwest Norm. Univ., Nat. Sci. 54, No. 2, 13-20 (2018). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{D. Yuan} et al., J. Northwest Norm. Univ., Nat. Sci. 54, No. 2, 13--20 (2018; Zbl 1413.65333) Full Text: DOI
Ma, Zhan; Wu, Song-Ping HWENO schemes based on compact difference for hyperbolic conservation laws. (HWENO schemes based on compact differencefor hyperbolic conservation laws.) (English) Zbl 1397.65142 J. Sci. Comput. 76, No. 2, 1301-1325 (2018). MSC: 65M06 65M99 35L65 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{S.-P. Wu}, J. Sci. Comput. 76, No. 2, 1301--1325 (2018; Zbl 1397.65142) Full Text: DOI
Britt, S.; Tsynkov, S.; Turkel, E. Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials. (English) Zbl 1380.65146 J. Comput. Phys. 354, 26-42 (2018). MSC: 65M06 35L05 PDFBibTeX XMLCite \textit{S. Britt} et al., J. Comput. Phys. 354, 26--42 (2018; Zbl 1380.65146) Full Text: DOI
Uh Zapata, Miguel; Itzá Balam, Reymundo High-order implicit finite difference schemes for the two-dimensional Poisson equation. (English) Zbl 1411.65145 Appl. Math. Comput. 309, 222-244 (2017). MSC: 65N06 35J25 PDFBibTeX XMLCite \textit{M. Uh Zapata} and \textit{R. Itzá Balam}, Appl. Math. Comput. 309, 222--244 (2017; Zbl 1411.65145) Full Text: DOI
Cao, Fujun; Ge, Yongbin; Sun, Hai-Wei Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems. (English) Zbl 1397.65132 Int. J. Comput. Math. 94, No. 12, 2356-2372 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M06 65M12 65M55 76M20 PDFBibTeX XMLCite \textit{F. Cao} et al., Int. J. Comput. Math. 94, No. 12, 2356--2372 (2017; Zbl 1397.65132) Full Text: DOI
Lee, Chin Yik; Lele, Sanjiva K. Localized artificial diffusivity scheme for deflagrations and detonation waves. (English) Zbl 1390.76588 Comput. Fluids 159, 33-52 (2017). MSC: 76M20 65M06 76L05 80A25 PDFBibTeX XMLCite \textit{C. Y. Lee} and \textit{S. K. Lele}, Comput. Fluids 159, 33--52 (2017; Zbl 1390.76588) Full Text: DOI
Yan, Zhen-Guo; Liu, Huayong; Ma, Yankai; Mao, Meiliang; Deng, Xiaogang Further improvement of weighted compact nonlinear scheme using compact nonlinear interpolation. (English) Zbl 1390.76537 Comput. Fluids 156, 135-145 (2017). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{Z.-G. Yan} et al., Comput. Fluids 156, 135--145 (2017; Zbl 1390.76537) Full Text: DOI
Vong, Seakweng; Shi, Chenyang; Lyu, Pin High-order compact schemes for fractional differential equations with mixed derivatives. (English) Zbl 1390.65081 Numer. Methods Partial Differ. Equations 33, No. 6, 2141-2158 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{S. Vong} et al., Numer. Methods Partial Differ. Equations 33, No. 6, 2141--2158 (2017; Zbl 1390.65081) Full Text: DOI
Sun, Youfa; Ding, Lutao High-order compact finite difference scheme for pricing American options under the Bates model. (Chinese. English summary) Zbl 1389.91132 J. Syst. Sci. Math. Sci. 37, No. 2, 425-435 (2017). MSC: 91G60 65M06 65T50 91G20 60G40 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{L. Ding}, J. Syst. Sci. Math. Sci. 37, No. 2, 425--435 (2017; Zbl 1389.91132)
Wong, Man Long; Lele, Sanjiva K. High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows. (English) Zbl 1375.76117 J. Comput. Phys. 339, 179-209 (2017). MSC: 76M20 76L05 76N99 PDFBibTeX XMLCite \textit{M. L. Wong} and \textit{S. K. Lele}, J. Comput. Phys. 339, 179--209 (2017; Zbl 1375.76117) Full Text: DOI arXiv
Tian, Fang; Ge, Yongbin A fourth-order hybrid compact finite difference method for 1D convection-diffusion-reaction equation. (Chinese. English summary) Zbl 1399.65170 Math. Pract. Theory 47, No. 7, 168-175 (2017). MSC: 65M06 41A21 PDFBibTeX XMLCite \textit{F. Tian} and \textit{Y. Ge}, Math. Pract. Theory 47, No. 7, 168--175 (2017; Zbl 1399.65170)
Kuang, Liqun; Kong, Linghua; Wang, Lan; Zheng, Xiaohong The splitting high-order compact scheme for two-dimensional Ginzburg-Landau equation. (Chinese. English summary) Zbl 1399.65157 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 41, No. 1, 35-38 (2017). MSC: 65M06 35Q56 PDFBibTeX XMLCite \textit{L. Kuang} et al., J. Jiangxi Norm. Univ., Nat. Sci. Ed. 41, No. 1, 35--38 (2017; Zbl 1399.65157) Full Text: DOI
Qi, Yingnan; Wu, Lili A high-order compact difference scheme for the 1D steady convection-diffusion-reaction equation. (Chinese. English summary) Zbl 1399.65302 J. Cent. China Norm. Univ., Nat. Sci. 51, No. 1, 1-6 (2017). MSC: 65N06 65F05 PDFBibTeX XMLCite \textit{Y. Qi} and \textit{L. Wu}, J. Cent. China Norm. Univ., Nat. Sci. 51, No. 1, 1--6 (2017; Zbl 1399.65302)
Xin, Shiyou; Yin, Junfeng High order compact scheme for solving two-dimensional Helmholtz equation with discontinuous coefficient. (Chinese. English summary) Zbl 1399.65175 Commun. Appl. Math. Comput. 31, No. 1, 43-54 (2017). MSC: 65M06 65M50 35J05 PDFBibTeX XMLCite \textit{S. Xin} and \textit{J. Yin}, Commun. Appl. Math. Comput. 31, No. 1, 43--54 (2017; Zbl 1399.65175) Full Text: DOI
Yu, P. X.; Tian, Z. F.; Zhang, Hongjie A rational high-order compact difference method for the steady-state stream function-vorticity formulation of the Navier-Stokes equations. (English) Zbl 1370.76109 Comput. Math. Appl. 73, No. 7, 1461-1484 (2017). MSC: 76M20 76D05 65N06 PDFBibTeX XMLCite \textit{P. X. Yu} et al., Comput. Math. Appl. 73, No. 7, 1461--1484 (2017; Zbl 1370.76109) Full Text: DOI
Koleva, Miglena N.; Mudzimbabwe, Walter; Vulkov, Lubin G. Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model. (English) Zbl 1354.91166 Numer. Algorithms 74, No. 1, 59-75 (2017). MSC: 91G60 65L12 91G20 PDFBibTeX XMLCite \textit{M. N. Koleva} et al., Numer. Algorithms 74, No. 1, 59--75 (2017; Zbl 1354.91166) Full Text: DOI
Mao, Meiliang; Jiang, Yi; Deng, Xiaogang; Liu, Huayong Noise prediction in subsonic flow using seventh-order dissipative compact scheme on curvilinear mesh. (English) Zbl 1488.65267 Adv. Appl. Math. Mech. 8, No. 2, 236-256 (2016). MSC: 65M06 76D05 76F65 76Q05 PDFBibTeX XMLCite \textit{M. Mao} et al., Adv. Appl. Math. Mech. 8, No. 2, 236--256 (2016; Zbl 1488.65267) Full Text: DOI
Yan, Zhenguo; Liu, Huayong; Mao, Meiliang; Zhu, Huajun; Deng, Xiaogang New nonlinear weights for improving accuracy and resolution of weighted compact nonlinear scheme. (English) Zbl 1390.76639 Comput. Fluids 127, 226-240 (2016). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{Z. Yan} et al., Comput. Fluids 127, 226--240 (2016; Zbl 1390.76639) Full Text: DOI
Wang, Lan; Zhou, Yuanlan; Fu, Lidan The compact and modified ADI scheme for Schrödinger equations. (Chinese. English summary) Zbl 1374.65143 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 40, No. 5, 515-519 (2016). MSC: 65M06 35Q41 65M15 65Y20 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Jiangxi Norm. Univ., Nat. Sci. Ed. 40, No. 5, 515--519 (2016; Zbl 1374.65143) Full Text: DOI
Fu, Lei; Zhang, Shuai; Zheng, Yao A new high-order compact scheme of unstructured finite volume method. (English) Zbl 1359.76192 Int. J. Comput. Methods 13, No. 5, Article ID 1650022, 16 p. (2016). MSC: 76M12 65M08 76N15 PDFBibTeX XMLCite \textit{L. Fu} et al., Int. J. Comput. Methods 13, No. 5, Article ID 1650022, 16 p. (2016; Zbl 1359.76192) Full Text: DOI
Pan, Liang; Xu, Kun A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions. (English) Zbl 1349.76517 J. Comput. Phys. 318, 327-348 (2016). MSC: 76M20 65M06 76N15 82C40 PDFBibTeX XMLCite \textit{L. Pan} and \textit{K. Xu}, J. Comput. Phys. 318, 327--348 (2016; Zbl 1349.76517) Full Text: DOI arXiv