Hong, Zheng; Ye, Zhengyin; Meng, Xianzong A mapping-function-free WENO-M scheme with low computational cost. (English) Zbl 07303065 J. Comput. Phys. 405, Article ID 109145, 10 p. (2020). MSC: 65M06 65M08 35L65 PDF BibTeX XML Cite \textit{Z. Hong} et al., J. Comput. Phys. 405, Article ID 109145, 10 p. (2020; Zbl 07303065) Full Text: DOI
Bakhvalov, P. A.; Kozubskaya, T. K. On using artificial viscosity in edge-based schemes on unstructured meshes. (Russian. English summary) Zbl 07288946 Mat. Model. 32, No. 12, 114-128 (2020). MSC: 76 65 PDF BibTeX XML Cite \textit{P. A. Bakhvalov} and \textit{T. K. Kozubskaya}, Mat. Model. 32, No. 12, 114--128 (2020; Zbl 07288946) Full Text: DOI MNR
Tishkin, V. F.; Gasilov, V. A.; Zmitrenko, N. V.; Kuchugov, P. A.; Ladonkina, M. E.; Poveschenko, Yu. A. Modern methods of mathematical modeling of the development of hydrodynamic instabilities and turbulent mixing. (Russian. English summary) Zbl 07288904 Mat. Model. 32, No. 8, 57-90 (2020). MSC: 76M20 76F35 76F25 76E06 76-02 PDF BibTeX XML Cite \textit{V. F. Tishkin} et al., Mat. Model. 32, No. 8, 57--90 (2020; Zbl 07288904) Full Text: DOI MNR
Ha, Cong-Tu; Lee, Jae Hwa A modified monotonicity-preserving high-order scheme with application to computation of multi-phase flows. (English) Zbl 07149119 Comput. Fluids 197, Article ID 104345, 29 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{C.-T. Ha} and \textit{J. H. Lee}, Comput. Fluids 197, Article ID 104345, 29 p. (2020; Zbl 07149119) Full Text: DOI
Ray, Deep; Hesthaven, Jan S. Detecting troubled-cells on two-dimensional unstructured grids using a neural network. (English) Zbl 07302163 J. Comput. Phys. 397, Article ID 108845, 31 p. (2019). MSC: 65M50 68T07 65M60 76M10 35L65 PDF BibTeX XML Cite \textit{D. Ray} and \textit{J. S. Hesthaven}, J. Comput. Phys. 397, Article ID 108845, 31 p. (2019; Zbl 07302163) Full Text: DOI
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang On new strategies to control the accuracy of WENO algorithms close to discontinuities. (English) Zbl 1436.65095 SIAM J. Numer. Anal. 57, No. 3, 1205-1237 (2019). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65D05 65D17 65N06 PDF BibTeX XML Cite \textit{S. Amat} et al., SIAM J. Numer. Anal. 57, No. 3, 1205--1237 (2019; Zbl 1436.65095) Full Text: DOI
Cheng, Ziqiang; Liu, Yuan; Zhang, Mengping; Wang, Jin IB-WENO method for incompressible flow with elastic boundaries. (English) Zbl 07085942 J. Comput. Appl. Math. 362, 498-509 (2019). MSC: 76 74 PDF BibTeX XML Cite \textit{Z. Cheng} et al., J. Comput. Appl. Math. 362, 498--509 (2019; Zbl 07085942) Full Text: DOI
Amat, Sergio; Ruiz, Juan; Trillo, Juan C. On an algorithm to adapt spline approximations to the presence of discontinuities. (English) Zbl 07037511 Numer. Algorithms 80, No. 3, 903-936 (2019). MSC: 65D17 65M06 65N06 PDF BibTeX XML Cite \textit{S. Amat} et al., Numer. Algorithms 80, No. 3, 903--936 (2019; Zbl 07037511) Full Text: DOI
Williams, David M. An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and \(L_2\) stability. (English) Zbl 1412.65121 Numer. Math. 141, No. 4, 1079-1120 (2019). MSC: 65M12 65M60 76N99 35Q31 65M06 65L06 PDF BibTeX XML Cite \textit{D. M. Williams}, Numer. Math. 141, No. 4, 1079--1120 (2019; Zbl 1412.65121) Full Text: DOI
Hassen, Walid; Kolsi, Lioua; Oztop, Hakan F.; Al-Rashed, Abdullah A.; Borjini, Mohamed Naceur; Al-Salem, Khaled Electro-thermo-capillary-convection in a square layer of dielectric liquid subjected to a strong unipolar injection. (English) Zbl 07183003 Appl. Math. Modelling 63, 349-361 (2018). MSC: 76 80 PDF BibTeX XML Cite \textit{W. Hassen} et al., Appl. Math. Modelling 63, 349--361 (2018; Zbl 07183003) Full Text: DOI
Kurganov, Alexander Finite-volume schemes for shallow-water equations. (English) Zbl 1430.76372 Acta Numerica 27, 289-351 (2018). MSC: 76M12 65M08 35L65 76B15 76-02 PDF BibTeX XML Cite \textit{A. Kurganov}, Acta Numerica 27, 289--351 (2018; Zbl 1430.76372) Full Text: DOI
Haider, Florian; Courbet, Bernard; Croisille, Jean-Pierre A high-order interpolation for the finite volume method: the coupled least squares reconstruction. (English) Zbl 1410.76231 Comput. Fluids 176, 20-39 (2018). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{F. Haider} et al., Comput. Fluids 176, 20--39 (2018; Zbl 1410.76231) Full Text: DOI
Damasceno, Marcelo Maia Ribeiro; Santos, Jessica Guarato de Freitas; Vedovoto, João Marcelo Simulation of turbulent reactive flows using a FDF methodology – advances in particle density control for normalized variables. (English) Zbl 1410.76083 Comput. Fluids 170, 128-140 (2018). MSC: 76F65 65C05 76V05 76R10 35Q84 PDF BibTeX XML Cite \textit{M. M. R. Damasceno} et al., Comput. Fluids 170, 128--140 (2018; Zbl 1410.76083) Full Text: DOI
Amat, Sergio; Li, Zhilin; Ruiz, Juan On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. (English) Zbl 1391.65031 J. Sci. Comput. 75, No. 3, 1500-1534 (2018). MSC: 65D05 65D17 65M06 65N06 PDF BibTeX XML Cite \textit{S. Amat} et al., J. Sci. Comput. 75, No. 3, 1500--1534 (2018; Zbl 1391.65031) Full Text: DOI
Amir, Anat; Levin, David High order approximation to non-smooth multivariate functions. (English) Zbl 1441.41010 Comput. Aided Geom. Des. 63, 31-65 (2018). MSC: 41A63 41A05 65D15 PDF BibTeX XML Cite \textit{A. Amir} and \textit{D. Levin}, Comput. Aided Geom. Des. 63, 31--65 (2018; Zbl 1441.41010) Full Text: DOI arXiv
Coquel, Frédéric; Jin, Shi; Liu, Jian-Guo; Wang, Li Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. (English) Zbl 1384.65052 Math. Comput. 87, No. 311, 1083-1126 (2018). MSC: 65M06 35L65 35L67 65M12 PDF BibTeX XML Cite \textit{F. Coquel} et al., Math. Comput. 87, No. 311, 1083--1126 (2018; Zbl 1384.65052) Full Text: DOI
Liu, Li; Shen, Yiqing; Liu, Shengping; Yu, Ming The dual information preserving method for stiff reacting flows. (English) Zbl 1390.76594 Comput. Fluids 157, 253-275 (2017). MSC: 76M20 76V05 80A32 80M20 65M06 PDF BibTeX XML Cite \textit{L. Liu} et al., Comput. Fluids 157, 253--275 (2017; Zbl 1390.76594) Full Text: DOI
Jalali, Alireza; Ollivier-Gooch, Carl Higher-order unstructured finite volume RANS solution of turbulent compressible flows. (English) Zbl 1390.76450 Comput. Fluids 143, 32-47 (2017). MSC: 76M12 65M08 76F50 PDF BibTeX XML Cite \textit{A. Jalali} and \textit{C. Ollivier-Gooch}, Comput. Fluids 143, 32--47 (2017; Zbl 1390.76450) Full Text: DOI
Li, Lei; Xu, Xiaoqian; Spagnolie, Saverio E. A locally gradient-preserving reinitialization for level set functions. (English) Zbl 1384.65054 J. Sci. Comput. 71, No. 1, 274-302 (2017). MSC: 65M06 35F21 PDF BibTeX XML Cite \textit{L. Li} et al., J. Sci. Comput. 71, No. 1, 274--302 (2017; Zbl 1384.65054) Full Text: DOI
Fu, Guosheng; Shu, Chi-Wang A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. (English) Zbl 1380.65262 J. Comput. Phys. 347, 305-327 (2017). MSC: 65M60 35L65 76M10 PDF BibTeX XML Cite \textit{G. Fu} and \textit{C.-W. Shu}, J. Comput. Phys. 347, 305--327 (2017; Zbl 1380.65262) Full Text: DOI
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C. On a power WENO scheme with improved accuracy near discontinuities. (English) Zbl 1377.65099 SIAM J. Sci. Comput. 39, No. 6, A2472-A2507 (2017). MSC: 65M06 65N06 PDF BibTeX XML Cite \textit{S. Amat} et al., SIAM J. Sci. Comput. 39, No. 6, A2472--A2507 (2017; Zbl 1377.65099) Full Text: DOI
Amat, Sergio; Ruiz, Juan New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. (English) Zbl 1370.65008 J. Sci. Comput. 71, No. 3, 1265-1302 (2017). MSC: 65D05 41A05 PDF BibTeX XML Cite \textit{S. Amat} and \textit{J. Ruiz}, J. Sci. Comput. 71, No. 3, 1265--1302 (2017; Zbl 1370.65008) Full Text: DOI
Aràndiga, Francesc; Donat, Rosa; Noguera, José J. Generalizing the ENO-DB\(2p\) transform using the inverse wavelet transform. (English) Zbl 1355.65189 Numer. Algorithms 74, No. 1, 175-198 (2017). MSC: 65T60 PDF BibTeX XML Cite \textit{F. Aràndiga} et al., Numer. Algorithms 74, No. 1, 175--198 (2017; Zbl 1355.65189) Full Text: DOI
Dutykh, Denys; Clamond, Didier Modified shallow water equations for significantly varying seabeds. (English) Zbl 1443.76022 Appl. Math. Modelling 40, No. 23-24, 9767-9787 (2016). MSC: 76-10 76B15 86A05 PDF BibTeX XML Cite \textit{D. Dutykh} and \textit{D. Clamond}, Appl. Math. Modelling 40, No. 23--24, 9767--9787 (2016; Zbl 1443.76022) Full Text: DOI
Aguillon, Nina; Chalons, Christophe Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics. (English) Zbl 1388.76163 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1887-1916 (2016). MSC: 76M12 65M08 35L45 35L65 76N15 PDF BibTeX XML Cite \textit{N. Aguillon} and \textit{C. Chalons}, ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1887--1916 (2016; Zbl 1388.76163) Full Text: DOI
Wang, Rong; Feng, Hui; Huang, Cong A new mapped weighted essentially non-oscillatory method using rational mapping function. (English) Zbl 1339.65140 J. Sci. Comput. 67, No. 2, 540-580 (2016). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{R. Wang} et al., J. Sci. Comput. 67, No. 2, 540--580 (2016; Zbl 1339.65140) Full Text: DOI
Vuik, M. J.; Ryan, J. K. Automated parameters for troubled-cell indicators using outlier detection. (English) Zbl 1330.65155 SIAM J. Sci. Comput. 38, No. 1, A84-A104 (2016). MSC: 65M60 35L60 35L65 35L67 65T60 PDF BibTeX XML Cite \textit{M. J. Vuik} and \textit{J. K. Ryan}, SIAM J. Sci. Comput. 38, No. 1, A84--A104 (2016; Zbl 1330.65155) Full Text: DOI arXiv
Aràndiga, Francesc; Noguera, José Jaime Reconstructions that combine interpolation with least squares fitting. (English) Zbl 1329.65039 Appl. Numer. Math. 97, 30-41 (2015). MSC: 65D05 65D10 41A05 PDF BibTeX XML Cite \textit{F. Aràndiga} and \textit{J. J. Noguera}, Appl. Numer. Math. 97, 30--41 (2015; Zbl 1329.65039) Full Text: DOI
Aristova, E. N.; Rogov, B. V. Bicompact scheme for the multidimensional stationary linear transport equation. (English) Zbl 1326.65104 Appl. Numer. Math. 93, 3-14 (2015). MSC: 65M06 PDF BibTeX XML Cite \textit{E. N. Aristova} and \textit{B. V. Rogov}, Appl. Numer. Math. 93, 3--14 (2015; Zbl 1326.65104) Full Text: DOI
Feng, Hui; Huang, Cong; Wang, Rong An improved mapped weighted essentially non-oscillatory scheme. (English) Zbl 1410.65306 Appl. Math. Comput. 232, 453-468 (2014). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{H. Feng} et al., Appl. Math. Comput. 232, 453--468 (2014; Zbl 1410.65306) Full Text: DOI
Martínez Ferrer, Pedro José; Buttay, Romain; Lehnasch, Guillaume; Mura, Arnaud A detailed verification procedure for compressible reactive multicomponent Navier-Stokes solvers. (English) Zbl 1391.76234 Comput. Fluids 89, 88-110 (2014). MSC: 76F65 76N15 76V05 80A25 PDF BibTeX XML Cite \textit{P. J. Martínez Ferrer} et al., Comput. Fluids 89, 88--110 (2014; Zbl 1391.76234) Full Text: DOI
Vuik, Mathea J.; Ryan, Jennifer K. Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes. (English) Zbl 1349.65490 J. Comput. Phys. 270, 138-160 (2014). MSC: 65M60 65T60 35F31 PDF BibTeX XML Cite \textit{M. J. Vuik} and \textit{J. K. Ryan}, J. Comput. Phys. 270, 138--160 (2014; Zbl 1349.65490) Full Text: DOI arXiv
Kotov, Dmitry V.; Yee, H. C.; Panesi, Marco; Prabhu, Dinesh K.; Wray, Alan A. Computational challenges for simulations related to the NASA electric arc shock tube (EAST) experiments. (English) Zbl 1349.76488 J. Comput. Phys. 269, 215-233 (2014). MSC: 76M20 65M06 76K05 PDF BibTeX XML Cite \textit{D. V. Kotov} et al., J. Comput. Phys. 269, 215--233 (2014; Zbl 1349.76488) Full Text: DOI
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. (English) Zbl 1298.41009 Numer. Algorithms 67, No. 1, 145-162 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 41A15 41A05 PDF BibTeX XML Cite \textit{S. Amat} et al., Numer. Algorithms 67, No. 1, 145--162 (2014; Zbl 1298.41009) Full Text: DOI
Aristova, E. N.; Baydin, D. F.; Rogov, B. V. Bicompact scheme for linear inhomogeneous transport equation. (Russian. English summary) Zbl 1357.65231 Mat. Model. 25, No. 5, 55-66 (2013). MSC: 65N06 65N40 PDF BibTeX XML Cite \textit{E. N. Aristova} et al., Mat. Model. 25, No. 5, 55--66 (2013; Zbl 1357.65231) Full Text: DOI MNR
Witteveen, Jeroen A. S.; Iaccarino, Gianluca Subcell resolution in simplex stochastic collocation for spatial discontinuities. (English) Zbl 1349.65585 J. Comput. Phys. 251, 17-52 (2013). MSC: 65N08 60H35 65N35 65N75 76M12 76M22 PDF BibTeX XML Cite \textit{J. A. S. Witteveen} and \textit{G. Iaccarino}, J. Comput. Phys. 251, 17--52 (2013; Zbl 1349.65585) Full Text: DOI
Yee, H. C.; Kotov, D. V.; Wang, Wei; Shu, Chi-Wang Spurious behavior of shock-capturing methods by the fractional step approach: problems containing stiff source terms and discontinuities. (English) Zbl 1349.80048 J. Comput. Phys. 241, 266-291 (2013). MSC: 80M25 80A25 76L05 PDF BibTeX XML Cite \textit{H. C. Yee} et al., J. Comput. Phys. 241, 266--291 (2013; Zbl 1349.80048) Full Text: DOI
Chang, Chih-Hao; Deng, Xiaolong; Theofanous, Theo G. Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method. (English) Zbl 1299.76097 J. Comput. Phys. 242, 946-990 (2013). MSC: 76F65 76M25 PDF BibTeX XML Cite \textit{C.-H. Chang} et al., J. Comput. Phys. 242, 946--990 (2013; Zbl 1299.76097) Full Text: DOI
Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C. High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. (English) Zbl 1288.65012 J. Comput. Appl. Math. 253, 163-180 (2013). MSC: 65D05 41A05 41A10 65D17 PDF BibTeX XML Cite \textit{S. Amat} et al., J. Comput. Appl. Math. 253, 163--180 (2013; Zbl 1288.65012) Full Text: DOI
Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. (English) Zbl 1400.65053 Eur. J. Appl. Math. 24, No. 5, 761-787 (2013). MSC: 65M70 35Q35 65M08 76B25 PDF BibTeX XML Cite \textit{D. Dutykh} et al., Eur. J. Appl. Math. 24, No. 5, 761--787 (2013; Zbl 1400.65053) Full Text: DOI
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan ENO reconstruction and ENO interpolation are stable. (English) Zbl 1273.65120 Found. Comput. Math. 13, No. 2, 139-159 (2013). Reviewer: Martina Wirz (Braunschweig) MSC: 65M12 65M06 65D05 35L65 PDF BibTeX XML Cite \textit{U. S. Fjordholm} et al., Found. Comput. Math. 13, No. 2, 139--159 (2013; Zbl 1273.65120) Full Text: DOI arXiv
Shen, Hua; Liu, Kaixin; Zhang, Deliang A local space-time conservation scheme and its application in shock wave propagation. (English) Zbl 1291.65308 Appl. Math. Comput. 219, No. 4, 1958-1974 (2012). MSC: 65M70 PDF BibTeX XML Cite \textit{H. Shen} et al., Appl. Math. Comput. 219, No. 4, 1958--1974 (2012; Zbl 1291.65308) Full Text: DOI
Tadmor, Eitan A review of numerical methods for nonlinear partial differential equations. (English) Zbl 1258.65073 Bull. Am. Math. Soc., New Ser. 49, No. 4, 507-554 (2012). MSC: 65Mxx 65-02 35K55 65L70 90B20 91G60 PDF BibTeX XML Cite \textit{E. Tadmor}, Bull. Am. Math. Soc., New Ser. 49, No. 4, 507--554 (2012; Zbl 1258.65073) Full Text: DOI
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows. (English) Zbl 1383.76359 J. Sci. Comput. 53, No. 1, 222-247 (2012). MSC: 76M12 76M28 65M70 PDF BibTeX XML Cite \textit{T. Xiong} et al., J. Sci. Comput. 53, No. 1, 222--247 (2012; Zbl 1383.76359) Full Text: DOI
Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. On a compact non-extrapolating scheme for adaptive image interpolation. (English) Zbl 1260.94004 J. Franklin Inst. 349, No. 5, 1637-1647 (2012). MSC: 94A08 68U10 PDF BibTeX XML Cite \textit{S. Amat} et al., J. Franklin Inst. 349, No. 5, 1637--1647 (2012; Zbl 1260.94004) Full Text: DOI
Feng, Hui; Hu, Fuxing; Wang, Rong A new mapped weighted essentially non-oscillatory scheme. (English) Zbl 1253.65124 J. Sci. Comput. 51, No. 2, 449-473 (2012). MSC: 65M06 PDF BibTeX XML Cite \textit{H. Feng} et al., J. Sci. Comput. 51, No. 2, 449--473 (2012; Zbl 1253.65124) Full Text: DOI
Wang, Wei; Shu, Chi-Wang; Yee, H. C.; Sjögreen, Björn High order finite difference methods with subcell resolution for advection equations with stiff source terms. (English) Zbl 06044229 J. Comput. Phys. 231, No. 1, 190-214 (2012). MSC: 65M06 65L04 65M12 80A25 80A32 76L05 35Q79 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Comput. Phys. 231, No. 1, 190--214 (2012; Zbl 06044229) Full Text: DOI
Zhang, Laiping; Liu, Wei; He, Lixin; Deng, Xiaogang; Zhang, Hanxin A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems. (English) Zbl 1242.65205 J. Comput. Phys. 231, No. 4, 1081-1103 (2012). MSC: 65M60 65M08 35L05 65M20 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Comput. Phys. 231, No. 4, 1081--1103 (2012; Zbl 1242.65205) Full Text: DOI
Gao, Wei; Li, Hong; Liu, Yang; Jian, Yong-Jun An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization. (English) Zbl 1269.65082 Numer. Algorithms 59, No. 1, 29-50 (2012). MSC: 65M08 35L45 35Q53 PDF BibTeX XML Cite \textit{W. Gao} et al., Numer. Algorithms 59, No. 1, 29--50 (2012; Zbl 1269.65082) Full Text: DOI
Murawski, K.; Lee, D. Numerical methods of solving equations of hydrodynamics from perspectives of the code FLASH. (English) Zbl 1291.76219 Bull. Pol. Acad. Sci., Tech. Sci. 59, No. 1, 81-91 (2011). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{K. Murawski} and \textit{D. Lee}, Bull. Pol. Acad. Sci., Tech. Sci. 59, No. 1, 81--91 (2011; Zbl 1291.76219) Full Text: DOI Link
Huang, Zhongyi; Yang, Xu Tailored finite point method for first order wave equation. (English) Zbl 1368.65193 J. Sci. Comput. 49, No. 3, 351-366 (2011). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{Z. Huang} and \textit{X. Yang}, J. Sci. Comput. 49, No. 3, 351--366 (2011; Zbl 1368.65193) Full Text: DOI
Dong, Yinfeng; Zhang, Jianying; Yan, Guangwu A higher-order moment method of the lattice Boltzmann model for the conservation law equation. (English) Zbl 1185.76845 Appl. Math. Modelling 34, No. 2, 481-494 (2010). MSC: 76M28 35L67 35Q20 PDF BibTeX XML Cite \textit{Y. Dong} et al., Appl. Math. Modelling 34, No. 2, 481--494 (2010; Zbl 1185.76845) Full Text: DOI
Min, Chohong On reinitializing level set functions. (English) Zbl 1188.65122 J. Comput. Phys. 229, No. 8, 2764-2772 (2010). MSC: 65M06 PDF BibTeX XML Cite \textit{C. Min}, J. Comput. Phys. 229, No. 8, 2764--2772 (2010; Zbl 1188.65122) Full Text: DOI
Zeidan, D.; Slaouti, A. Validation of hyperbolic model for two-phase flow in conservative form. (English) Zbl 1184.76882 Int. J. Comput. Fluid Dyn. 23, No. 9, 623-641 (2009). MSC: 76T10 76M12 PDF BibTeX XML Cite \textit{D. Zeidan} and \textit{A. Slaouti}, Int. J. Comput. Fluid Dyn. 23, No. 9, 623--641 (2009; Zbl 1184.76882) Full Text: DOI
Zhu, Hongqiang; Qiu, Jianxian Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. (English) Zbl 1173.65339 J. Comput. Phys. 228, No. 18, 6957-6976 (2009). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{J. Qiu}, J. Comput. Phys. 228, No. 18, 6957--6976 (2009; Zbl 1173.65339) Full Text: DOI
Ferreira, V. G.; Kurokawa, F. A.; Queiroz, R. A. B.; Kaibara, M. K.; Oishi, C. M.; Cuminato, J. A.; Castelo, A.; Tomé, M. F.; McKee, S. Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems. (English) Zbl 1262.76064 Int. J. Numer. Methods Fluids 60, No. 1, 1-26 (2009). MSC: 76M20 76R50 65M06 PDF BibTeX XML Cite \textit{V. G. Ferreira} et al., Int. J. Numer. Methods Fluids 60, No. 1, 1--26 (2009; Zbl 1262.76064) Full Text: DOI
Schofield, Samuel P.; Garimella, Rao V.; Francois, Marianne M.; Loubère, Raphaël A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations. (English) Zbl 1169.76047 J. Comput. Phys. 228, No. 3, 731-745 (2009). MSC: 76M25 PDF BibTeX XML Cite \textit{S. P. Schofield} et al., J. Comput. Phys. 228, No. 3, 731--745 (2009; Zbl 1169.76047) Full Text: DOI
Li, Hongxia; Wang, Zhigang; Mao, De-Kang Numerically neither dissipative nor compressive scheme for linear advection equation and its application to the Euler system. (English) Zbl 1203.65140 J. Sci. Comput. 36, No. 3, 285-331 (2008). MSC: 65M06 65M12 76M25 76N15 PDF BibTeX XML Cite \textit{H. Li} et al., J. Sci. Comput. 36, No. 3, 285--331 (2008; Zbl 1203.65140) Full Text: DOI
Liu, Hailiang; Wang, Zhongming Superposition of multi-valued solutions in high frequency wave dynamics. (English) Zbl 1203.65141 J. Sci. Comput. 35, No. 2-3, 192-218 (2008). MSC: 65M06 35F20 76M25 PDF BibTeX XML Cite \textit{H. Liu} and \textit{Z. Wang}, J. Sci. Comput. 35, No. 2--3, 192--218 (2008; Zbl 1203.65141) Full Text: DOI
Archibald, Rick; Gelb, Anne; Yoon, Jungho Determining the locations and discontinuities in the derivatives of functions. (English) Zbl 1141.65011 Appl. Numer. Math. 58, No. 5, 577-592 (2008). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 PDF BibTeX XML Cite \textit{R. Archibald} et al., Appl. Numer. Math. 58, No. 5, 577--592 (2008; Zbl 1141.65011) Full Text: DOI
Arandiga, Francesc; Cohen, Albert; Donat, Rosa; Dyn, Nira; Matei, Basarab Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques. (English) Zbl 1168.68592 Appl. Comput. Harmon. Anal. 24, No. 2, 225-250 (2008). MSC: 68U10 41A30 68T10 PDF BibTeX XML Cite \textit{F. Arandiga} et al., Appl. Comput. Harmon. Anal. 24, No. 2, 225--250 (2008; Zbl 1168.68592) Full Text: DOI
Fernández-Nieto, Enrique D.; Martínez, Vicente A treatment of discontinuities for nonlinear systems with linearly degenerate fields. (English) Zbl 1194.76154 Comput. Fluids 36, No. 5, 987-1003 (2007). MSC: 76M12 76L05 35L67 PDF BibTeX XML Cite \textit{E. D. Fernández-Nieto} and \textit{V. Martínez}, Comput. Fluids 36, No. 5, 987--1003 (2007; Zbl 1194.76154) Full Text: DOI
Liu, Hailiang; Wang, Zhongming Computing multi-valued velocity and electric fields for 1D Euler-Poisson equations. (English) Zbl 1146.78012 Appl. Numer. Math. 57, No. 5-7, 821-836 (2007). Reviewer: Răzvan Răducanu (Iaşi) MSC: 78M25 PDF BibTeX XML Cite \textit{H. Liu} and \textit{Z. Wang}, Appl. Numer. Math. 57, No. 5--7, 821--836 (2007; Zbl 1146.78012) Full Text: DOI
Bokanowski, Olivier; Zidani, Hasnaa Anti-dissipative schemes for advection and application to Hamilton-Jacobi-bellmann equations. (English) Zbl 1116.65098 J. Sci. Comput. 30, No. 1, 1-33 (2007). MSC: 65M06 65M12 35L45 PDF BibTeX XML Cite \textit{O. Bokanowski} and \textit{H. Zidani}, J. Sci. Comput. 30, No. 1, 1--33 (2007; Zbl 1116.65098) Full Text: DOI
Liu, Yan; Mao, Dekang Further development of a conservative front-tracking method for systems of conservation laws in one space dimension. (English) Zbl 1175.65096 J. Sci. Comput. 28, No. 1, 85-119 (2006). MSC: 65M06 35L65 76M12 76N15 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{D. Mao}, J. Sci. Comput. 28, No. 1, 85--119 (2006; Zbl 1175.65096) Full Text: DOI
Chou, Ching-Shan; Shu, Chi-Wang High order residual distribution conservative finite difference WENO schemes for steady state problems on nonsmooth meshes. (English) Zbl 1093.65102 J. Comput. Phys. 214, No. 2, 698-724 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N06 65N12 35J65 PDF BibTeX XML Cite \textit{C.-S. Chou} and \textit{C.-W. Shu}, J. Comput. Phys. 214, No. 2, 698--724 (2006; Zbl 1093.65102) Full Text: DOI
Xu, Zhengfu; Shu, Chi-Wang Anti-diffusive flux corrections for high order finite difference WENO schemes. (English) Zbl 1087.76080 J. Comput. Phys. 205, No. 2, 458-485 (2005). MSC: 76M20 65M06 PDF BibTeX XML Cite \textit{Z. Xu} and \textit{C.-W. Shu}, J. Comput. Phys. 205, No. 2, 458--485 (2005; Zbl 1087.76080) Full Text: DOI
Matei, Basarab Denoising using nonlinear multiscale representations. (English. Abridged French version) Zbl 1046.94506 C. R., Math., Acad. Sci. Paris 338, No. 8, 647-652 (2004). MSC: 94A12 42C40 65M06 65D05 PDF BibTeX XML Cite \textit{B. Matei}, C. R., Math., Acad. Sci. Paris 338, No. 8, 647--652 (2004; Zbl 1046.94506) Full Text: DOI
Wang, Shao-Ping; Anderson, Mark H.; Oakley, Jason G.; Corradini, Michael L.; Bonazza, Riccardo A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows. (English) Zbl 1115.76377 J. Comput. Phys. 195, No. 2, 528-559 (2004). MSC: 76M20 65M06 76L05 76N15 PDF BibTeX XML Cite \textit{S.-P. Wang} et al., J. Comput. Phys. 195, No. 2, 528--559 (2004; Zbl 1115.76377) Full Text: DOI
Matei, Basarab Smoothness characterization and stability for nonlinear multiscale representations. (English. Abridged French version) Zbl 1074.68076 C. R., Math., Acad. Sci. Paris 338, No. 4, 321-326 (2004). MSC: 68U10 65T60 PDF BibTeX XML Cite \textit{B. Matei}, C. R., Math., Acad. Sci. Paris 338, No. 4, 321--326 (2004; Zbl 1074.68076) Full Text: DOI
Schittkowski, K. Data fitting in partial differential algebraic equations: Some academic and industrial applications. (English) Zbl 1046.65079 J. Comput. Appl. Math. 163, No. 1, 29-57 (2004). MSC: 65M32 65M20 35R30 35R10 PDF BibTeX XML Cite \textit{K. Schittkowski}, J. Comput. Appl. Math. 163, No. 1, 29--57 (2004; Zbl 1046.65079) Full Text: DOI
Aràndiga, Francesc; Belda, Ana María Weighted ENO interpolation and applications. (English) Zbl 1037.41001 Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 187-195 (2004). Reviewer: Hang Tong Lau (St. Laurent/Quebec) MSC: 41A05 65D05 PDF BibTeX XML Cite \textit{F. Aràndiga} and \textit{A. M. Belda}, Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 187--195 (2004; Zbl 1037.41001) Full Text: DOI
Tran, Quang Huy; Scheurer, Bruno High-order monotonicity-preserving compact schemes for linear scalar advection on 2-D irregular meshes. (English) Zbl 1016.76055 J. Comput. Phys. 175, No. 2, 454-486 (2002). MSC: 76M12 76R99 PDF BibTeX XML Cite \textit{Q. H. Tran} and \textit{B. Scheurer}, J. Comput. Phys. 175, No. 2, 454--486 (2002; Zbl 1016.76055) Full Text: DOI
Wang, Z. J. Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation. (English) Zbl 0997.65115 J. Comput. Phys. 178, No. 1, 210-251 (2002). MSC: 65M70 65M08 35L65 PDF BibTeX XML Cite \textit{Z. J. Wang}, J. Comput. Phys. 178, No. 1, 210--251 (2002; Zbl 0997.65115) Full Text: DOI
Amat, Sergio; Aràndiga, Francesc; Cohen, Albert; Donat, Rosa; Garcia, Gregori; von Oehsen, Markus Data compression with ENO schemes: A case study. (English) Zbl 0985.65011 Appl. Comput. Harmon. Anal. 11, No. 2, 273-288 (2001). MSC: 65D18 68U10 65T60 PDF BibTeX XML Cite \textit{S. Amat} et al., Appl. Comput. Harmon. Anal. 11, No. 2, 273--288 (2001; Zbl 0985.65011) Full Text: DOI
Aslam, Tariq D. A level-set algorithm for tracking discontinuities in hyperbolic conservation laws. I: Scalar equations. (English) Zbl 0989.65089 J. Comput. Phys. 167, No. 2, 413-438 (2001). Reviewer: S.Benzoni (Lyon) MSC: 65M06 35L65 65M20 PDF BibTeX XML Cite \textit{T. D. Aslam}, J. Comput. Phys. 167, No. 2, 413--438 (2001; Zbl 0989.65089) Full Text: DOI
Liu, T. G.; Khoo, B. C.; Yeo, K. S. The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction. (English) Zbl 1052.76046 Comput. Fluids 30, No. 3, 291-337 (2001). MSC: 76M20 76T10 76N15 76L05 PDF BibTeX XML Cite \textit{T. G. Liu} et al., Comput. Fluids 30, No. 3, 291--337 (2001; Zbl 1052.76046) Full Text: DOI
Balsara, Dinshaw S.; Shu, Chi-Wang Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. (English) Zbl 0961.65078 J. Comput. Phys. 160, No. 2, 405-452 (2000). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M06 65M20 65M12 35L65 PDF BibTeX XML Cite \textit{D. S. Balsara} and \textit{C.-W. Shu}, J. Comput. Phys. 160, No. 2, 405--452 (2000; Zbl 0961.65078) Full Text: DOI
Hui, W. H.; Li, P. Y.; Li, Z. W. A unified coordinate system for solving the two-dimensional Euler equations. (English) Zbl 0969.76061 J. Comput. Phys. 153, No. 2, 596-637 (1999). Reviewer: Pavel Burda (Praha) MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{W. H. Hui} et al., J. Comput. Phys. 153, No. 2, 596--637 (1999; Zbl 0969.76061) Full Text: DOI
Li, Haidong; Chan, Weng Kong ADM-WENO scheme and its application in compressible mixing flows. (English) Zbl 0942.76048 Int. J. Numer. Methods Heat Fluid Flow 9, No. 4, 461-471 (1999). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{H. Li} and \textit{W. K. Chan}, Int. J. Numer. Methods Heat Fluid Flow 9, No. 4, 461--471 (1999; Zbl 0942.76048) Full Text: DOI
Hilden, Michael; Steinebach, Gerd ENO-discretizations in MOL-applications: Some examples in river hydraulics. (English) Zbl 0936.76056 Appl. Numer. Math. 28, No. 2-4, 293-308 (1998). MSC: 76M20 76B10 65M20 86-08 86A05 PDF BibTeX XML Cite \textit{M. Hilden} and \textit{G. Steinebach}, Appl. Numer. Math. 28, No. 2--4, 293--308 (1998; Zbl 0936.76056) Full Text: DOI
Kupferman, Raz Simulation of viscoelastic fluids: Couette-Taylor flow. (English) Zbl 0935.76058 J. Comput. Phys. 147, No. 1, 22-59 (1998). MSC: 76M20 76A10 76E07 76U05 PDF BibTeX XML Cite \textit{R. Kupferman}, J. Comput. Phys. 147, No. 1, 22--59 (1998; Zbl 0935.76058) Full Text: DOI
Chippada, S.; Dawson, C. N.; Martinez, M. L.; Wheeler, M. F. A Godunov-type finite volume method for the system of shallow water equations. (English) Zbl 0916.76051 Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 105-129 (1998). MSC: 76M25 76B15 PDF BibTeX XML Cite \textit{S. Chippada} et al., Comput. Methods Appl. Mech. Eng. 151, No. 1--2, 105--129 (1998; Zbl 0916.76051) Full Text: DOI
Benson, David J. Eulerian finite element methods for the micromechanics of heterogeneous materials: Dynamic prioritization of material interfaces. (English) Zbl 0906.73059 Comput. Methods Appl. Mech. Eng. 151, No. 3-4, 343-360 (1998). MSC: 74S05 74A60 74M25 PDF BibTeX XML Cite \textit{D. J. Benson}, Comput. Methods Appl. Mech. Eng. 151, No. 3--4, 343--360 (1998; Zbl 0906.73059) Full Text: DOI
Cocchi, Jean-Pierre; Saurel, Richard A Riemann problem based method for the resolution of compressible multimaterial flows. (English) Zbl 0934.76055 J. Comput. Phys. 137, No. 2, 265-298 (1997). Reviewer: W.L.Chow (Boca Raton) MSC: 76M20 76N15 76L05 PDF BibTeX XML Cite \textit{J.-P. Cocchi} and \textit{R. Saurel}, J. Comput. Phys. 137, No. 2, 265--298 (1997; Zbl 0934.76055) Full Text: DOI
Neumeyer, T.; Rentrop, P. The DAE-aspect of the charge cycle in a combustion engine. (English) Zbl 0963.76600 Appl. Numer. Math. 25, No. 2-3, 287-295 (1997). MSC: 76V05 76M20 80A25 PDF BibTeX XML Cite \textit{T. Neumeyer} and \textit{P. Rentrop}, Appl. Numer. Math. 25, No. 2--3, 287--295 (1997; Zbl 0963.76600) Full Text: DOI
Grasso, F.; Manna, M.; Meola, C.; Pascarelli, A. On the relation between the entropy balance and the numerical solutions of systems of conservation laws. (English) Zbl 0896.76066 Int. J. Numer. Methods Fluids 25, No. 7, 825-845 (1997). MSC: 76M25 76N10 35L65 PDF BibTeX XML Cite \textit{F. Grasso} et al., Int. J. Numer. Methods Fluids 25, No. 7, 825--845 (1997; Zbl 0896.76066) Full Text: DOI
Suresh, A.; Huynh, H. T. Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. (English) Zbl 0886.65099 J. Comput. Phys. 136, No. 1, 83-99 (1997). Reviewer: S.Benzoni (Lyon) MSC: 65M20 76N15 35L45 65L06 PDF BibTeX XML Cite \textit{A. Suresh} and \textit{H. T. Huynh}, J. Comput. Phys. 136, No. 1, 83--99 (1997; Zbl 0886.65099) Full Text: DOI
Crossley, P. S.; Saunders, R.; Causon, D. M.; Mingham, C. G. A spectral method with subcell resolution for shock wave calculations. (English) Zbl 0866.65065 Appl. Numer. Math. 21, No. 2, 141-153 (1996). Reviewer: N.Vulchanov (Sofia) MSC: 65M70 35L67 76N15 35Q53 PDF BibTeX XML Cite \textit{P. S. Crossley} et al., Appl. Numer. Math. 21, No. 2, 141--153 (1996; Zbl 0866.65065) Full Text: DOI
Bihari, Barna L.; Harten, Ami Application of generalized wavelets: An adaptive multiresolution scheme. (English) Zbl 0840.65092 J. Comput. Appl. Math. 61, No. 3, 275-321 (1995). Reviewer: T.C.Mohan (Madras) MSC: 65M06 35L65 35-04 65Y20 PDF BibTeX XML Cite \textit{B. L. Bihari} and \textit{A. Harten}, J. Comput. Appl. Math. 61, No. 3, 275--321 (1995; Zbl 0840.65092) Full Text: DOI
Yeh, Gour-Tsyh; Chang, Jing-Ru; Cheng, Hwai-Ping; Sung, Chao-Ho An adaptive local grid refinement based on the exact peak capture and oscillation free scheme to solve transport equations. (English) Zbl 0825.76411 Comput. Fluids 24, No. 3, 293-332 (1995). MSC: 76M10 76R99 PDF BibTeX XML Cite \textit{G.-T. Yeh} et al., Comput. Fluids 24, No. 3, 293--332 (1995; Zbl 0825.76411) Full Text: DOI
Drikakis, D.; Durst, F. A numerical study of the viscous supersonic flow past a flat plate at large angles of incidence. (English) Zbl 0832.76056 Phys. Fluids 6, No. 4, 1553-1573 (1994). Reviewer: E.Krause (Aachen) MSC: 76M20 76J20 PDF BibTeX XML Cite \textit{D. Drikakis} and \textit{F. Durst}, Phys. Fluids 6, No. 4, 1553--1573 (1994; Zbl 0832.76056) Full Text: DOI
Davis, Stephen F. Flux difference splittings and limiters for the resolution of contact discontinuities. (English) Zbl 0818.65087 Appl. Math. Comput. 65, No. 1-3, 3-18 (1994). Reviewer: K.Zlateva (Russe) MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{S. F. Davis}, Appl. Math. Comput. 65, No. 1--3, 3--18 (1994; Zbl 0818.65087) Full Text: DOI
Rider, William J. A review of approximate Riemann solvers with Godunov’s method in Lagrangian coordinates. (English) Zbl 0802.76050 Comput. Fluids 23, No. 2, 397-413 (1994). MSC: 76M20 76-02 76L05 PDF BibTeX XML Cite \textit{W. J. Rider}, Comput. Fluids 23, No. 2, 397--413 (1994; Zbl 0802.76050) Full Text: DOI
Daiguji, H.; Shin, B. R. Some numerical schemes using curvilinear coordinate grids for incompressible and compressible Navier-Stokes equations. (English) Zbl 1075.76597 Sādhanā 18, No. 3-4, 431-476 (1993). MSC: 76M20 76D05 76F05 76N15 PDF BibTeX XML Cite \textit{H. Daiguji} and \textit{B. R. Shin}, Sādhanā 18, No. 3--4, 431--476 (1993; Zbl 1075.76597) Full Text: DOI
Yamamoto, S.; Daiguji, H. Higher-order-accurate upwind schemes for solving the compressible Euler and Navier–Stokes equations. (English) Zbl 0779.76066 Comput. Fluids 22, No. 2-3, 259-270 (1993). MSC: 76M20 76N10 PDF BibTeX XML Cite \textit{S. Yamamoto} and \textit{H. Daiguji}, Comput. Fluids 22, No. 2--3, 259--270 (1993; Zbl 0779.76066) Full Text: DOI
Harten, Ami Discrete multi-resolution analysis and generalized wavelets. (English) Zbl 0777.65004 Appl. Numer. Math. 12, No. 1-3, 153-192 (1993). Reviewer: D.Braess (Bochum) MSC: 65D15 PDF BibTeX XML Cite \textit{A. Harten}, Appl. Numer. Math. 12, No. 1--3, 153--192 (1993; Zbl 0777.65004) Full Text: DOI
Harabetian, Eduard A subcell resolution method for viscous systems of conservation laws. (English) Zbl 0763.76050 J. Comput. Phys. 103, No. 2, 350-358 (1992). MSC: 76M20 76V05 76N10 PDF BibTeX XML Cite \textit{E. Harabetian}, J. Comput. Phys. 103, No. 2, 350--358 (1992; Zbl 0763.76050) Full Text: DOI
Benson, David J. Computational methods in Lagrangian and Eulerian hydrocodes. (English) Zbl 0763.73052 Comput. Methods Appl. Mech. Eng. 99, No. 2-3, 235-394 (1992). MSC: 74S05 74S20 74A55 74M15 74F10 74-02 PDF BibTeX XML Cite \textit{D. J. Benson}, Comput. Methods Appl. Mech. Eng. 99, No. 2--3, 235--394 (1992; Zbl 0763.73052) Full Text: DOI
Davis, Stephen F. An interface tracking method for hyperbolic systems of conservation laws. (English) Zbl 0766.65067 Appl. Numer. Math. 10, No. 6, 447-472 (1992). Reviewer: K.Zlateva (Russe) MSC: 65M06 35L65 76N15 PDF BibTeX XML Cite \textit{S. F. Davis}, Appl. Numer. Math. 10, No. 6, 447--472 (1992; Zbl 0766.65067) Full Text: DOI