Zhu, Zijin; Cui, Qingjie; Ni, Guoxi A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers. (English) Zbl 1521.76498 Comput. Fluids 264, Article ID 105961, 16 p. (2023). MSC: 76M12 35L65 65M08 76N15 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Comput. Fluids 264, Article ID 105961, 16 p. (2023; Zbl 1521.76498) Full Text: DOI
Zhu, Zijin; Hu, Xiaoyan; Ni, Guoxi Radially symmetrical problems for compressible fluids with a high-resolution boundary condition. (English) Zbl 1513.65330 Adv. Appl. Math. Mech. 15, No. 2, 428-449 (2023). MSC: 65M08 65M06 65N08 76L05 76M12 76N15 35B06 76Q05 76N10 76P05 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Adv. Appl. Math. Mech. 15, No. 2, 428--449 (2023; Zbl 1513.65330) Full Text: DOI
Ren, Yiming; Feng, Hongsong; Zhao, Shan A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains. (English) Zbl 07516834 J. Comput. Phys. 448, Article ID 110762, 24 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{Y. Ren} et al., J. Comput. Phys. 448, Article ID 110762, 24 p. (2022; Zbl 07516834) Full Text: DOI
Feng, Hongsong; Long, Guangqing; Zhao, Shan FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries. (English) Zbl 1456.65140 J. Sci. Comput. 86, No. 1, Paper No. 7, 25 p. (2021). MSC: 65N06 65T50 65N85 35J05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Sci. Comput. 86, No. 1, Paper No. 7, 25 p. (2021; Zbl 1456.65140) 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
Feng, Hongsong; Zhao, Shan FFT-based high order central difference schemes for three-dimensional Poisson’s equation with various types of boundary conditions. (English) Zbl 1436.65159 J. Comput. Phys. 410, Article ID 109391, 23 p. (2020). MSC: 65N06 65T50 35J05 PDFBibTeX XMLCite \textit{H. Feng} and \textit{S. Zhao}, J. Comput. Phys. 410, Article ID 109391, 23 p. (2020; Zbl 1436.65159) Full Text: DOI
Bouzat, Nicolas; Bressan, Camilla; Grandgirard, Virginie; Latu, Guillaume; Mehrenberger, Michel Targeting realistic geometry in tokamak code Gysela. (English) Zbl 1458.76131 ESAIM, Proc. Surv. 63, 179-207 (2018). MSC: 76X05 76M99 PDFBibTeX XMLCite \textit{N. Bouzat} et al., ESAIM, Proc. Surv. 63, 179--207 (2018; Zbl 1458.76131) Full Text: DOI arXiv
He, Dongdong; Pan, Kejia A fifth-order combined compact difference scheme for Stokes flow on polar geometries. (English) Zbl 1426.76471 East Asian J. Appl. Math. 7, No. 4, 714-727 (2017). MSC: 76M20 76M22 76D07 PDFBibTeX XMLCite \textit{D. He} and \textit{K. Pan}, East Asian J. Appl. Math. 7, No. 4, 714--727 (2017; Zbl 1426.76471) Full Text: DOI
He, Dongdong; Pan, Kejia An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain. (English) Zbl 1443.74189 Appl. Math. Modelling 39, No. 10-11, 3063-3074 (2015). MSC: 74G75 35R25 PDFBibTeX XMLCite \textit{D. He} and \textit{K. Pan}, Appl. Math. Modelling 39, No. 10--11, 3063--3074 (2015; Zbl 1443.74189) Full Text: DOI
Bialecki, Bernard; Wright, Lyndsey A fast direct solver for a fourth order finite difference scheme for Poisson’s equation on the unit disc in polar coordinates. (English) Zbl 1332.65153 Numer. Algorithms 70, No. 4, 727-751 (2015). MSC: 65N06 65N12 65N15 35J05 65T50 65F05 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{L. Wright}, Numer. Algorithms 70, No. 4, 727--751 (2015; Zbl 1332.65153) Full Text: DOI
Torregrosa, A. J.; Hoyas, S.; Gil, A.; Galache, J. P. G. A sparse mesh for compact finite difference-Fourier solvers with radius-dependent spectral resolution in circular domains. (English) Zbl 1350.65090 Comput. Math. Appl. 67, No. 6, 1309-1318 (2014). MSC: 65M06 65N06 35J25 35K20 65M50 65N50 PDFBibTeX XMLCite \textit{A. J. Torregrosa} et al., Comput. Math. Appl. 67, No. 6, 1309--1318 (2014; Zbl 1350.65090) Full Text: DOI
Sekhar, T. V. S.; Raju, B. Hema Sundar An efficient higher order compact scheme to capture heat transfer solutions in spherical geometry. (English) Zbl 1302.80007 Comput. Phys. Commun. 183, No. 11, 2337-2345 (2012). MSC: 80A20 35Q35 76D05 76M25 65N55 PDFBibTeX XMLCite \textit{T. V. S. Sekhar} and \textit{B. H. S. Raju}, Comput. Phys. Commun. 183, No. 11, 2337--2345 (2012; Zbl 1302.80007) Full Text: DOI
Abide, Stéphane; Chesneau, Xavier; Zeghmati, Belkacem Compact mixed methods for convection/diffusion type problems. (English) Zbl 1245.65146 Appl. Math. Comput. 218, No. 10, 5867-5876 (2012). MSC: 65N06 PDFBibTeX XMLCite \textit{S. Abide} et al., Appl. Math. Comput. 218, No. 10, 5867--5876 (2012; Zbl 1245.65146) Full Text: DOI
Ray, Rajendra K. A transformation-free HOC scheme for incompressible viscous flow past a rotating and translating circular cylinder. (English) Zbl 1237.76030 J. Sci. Comput. 46, No. 2, 265-293 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 76D05 76M20 76U05 65M06 PDFBibTeX XMLCite \textit{R. K. Ray}, J. Sci. Comput. 46, No. 2, 265--293 (2011; Zbl 1237.76030) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas Matrix decomposition algorithms for elliptic boundary value problems: A survey. (English) Zbl 1208.65036 Numer. Algorithms 56, No. 2, 253-295 (2011). MSC: 65F05 PDFBibTeX XMLCite \textit{B. Bialecki} et al., Numer. Algorithms 56, No. 2, 253--295 (2011; Zbl 1208.65036) Full Text: DOI
Ray, Rajendra K.; Kalita, Jiten C. A transformation-free HOC scheme for incompressible viscous flows on nonuniform polar grids. (English) Zbl 1425.76191 Int. J. Numer. Methods Fluids 62, No. 6, 683-708 (2010). MSC: 76M25 76R50 76D05 PDFBibTeX XMLCite \textit{R. K. Ray} and \textit{J. C. Kalita}, Int. J. Numer. Methods Fluids 62, No. 6, 683--708 (2010; Zbl 1425.76191) Full Text: DOI
Kalita, Jiten C.; Ray, Rajendra K. A transformation-free HOC scheme for incompressible viscous flows past an impulsively started circular cylinder. (English) Zbl 1280.76039 J. Comput. Phys. 228, No. 14, 5207-5236 (2009). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{J. C. Kalita} and \textit{R. K. Ray}, J. Comput. Phys. 228, No. 14, 5207--5236 (2009; Zbl 1280.76039) Full Text: DOI
Zhou, Qiang; Yao, Zhaohui; He, Feng; Shen, M. Y. A new family of high-order compact upwind difference schemes with good spectral resolution. (English) Zbl 1128.65070 J. Comput. Phys. 227, No. 2, 1306-1339 (2007). MSC: 65M06 35L05 35L45 65M20 65M12 PDFBibTeX XMLCite \textit{Q. Zhou} et al., J. Comput. Phys. 227, No. 2, 1306--1339 (2007; Zbl 1128.65070) Full Text: DOI
Javidi, M.; Golbabai, A. Numerical studies on nonlinear Schrödinger equations by spectral collocation method with preconditioning. (English) Zbl 1117.65141 J. Math. Anal. Appl. 333, No. 2, 1119-1127 (2007). MSC: 65M70 35Q55 65F35 PDFBibTeX XMLCite \textit{M. Javidi} and \textit{A. Golbabai}, J. Math. Anal. Appl. 333, No. 2, 1119--1127 (2007; Zbl 1117.65141) Full Text: DOI
Lai, Ming-Chih; Tseng, Jui-Ming A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates. (English) Zbl 1115.65122 J. Comput. Appl. Math. 201, No. 1, 175-181 (2007). MSC: 65N35 65N06 35J05 65T50 PDFBibTeX XMLCite \textit{M.-C. Lai} and \textit{J.-M. Tseng}, J. Comput. Appl. Math. 201, No. 1, 175--181 (2007; Zbl 1115.65122) Full Text: DOI
Lai, Ming-Chih; Tseng, Yu-Hou A fast iterative solver for the variable coefficient diffusion equation on a disk. (English) Zbl 1073.65115 J. Comput. Phys. 208, No. 1, 196-205 (2005). MSC: 65N06 35J25 65F10 65F35 65N55 PDFBibTeX XMLCite \textit{M.-C. Lai} and \textit{Y.-H. Tseng}, J. Comput. Phys. 208, No. 1, 196--205 (2005; Zbl 1073.65115) Full Text: DOI
Lai, Ming-Chih; Liu, Hsi-Chi Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows. (English) Zbl 1070.65121 Appl. Math. Comput. 164, No. 3, 679-695 (2005). MSC: 65N35 65T50 35J40 65L12 76D05 76M22 65Y20 PDFBibTeX XMLCite \textit{M.-C. Lai} and \textit{H.-C. Liu}, Appl. Math. Comput. 164, No. 3, 679--695 (2005; Zbl 1070.65121) Full Text: DOI
Shukla, Ratnesh K.; Zhong, Xiaolin Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation. (English) Zbl 1067.65088 J. Comput. Phys. 204, No. 2, 404-429 (2005). MSC: 65M06 35L05 PDFBibTeX XMLCite \textit{R. K. Shukla} and \textit{X. Zhong}, J. Comput. Phys. 204, No. 2, 404--429 (2005; Zbl 1067.65088) Full Text: DOI