Wang, Xue; Rui, Hongxing The locking-free finite difference method based on staggered grids for the coupled Stokes-Biot problem. (English) Zbl 07579674 Int. J. Comput. Math. 99, No. 10, 2042-2068 (2022). MSC: 65N06 65N12 65N15 PDF BibTeX XML Cite \textit{X. Wang} and \textit{H. Rui}, Int. J. Comput. Math. 99, No. 10, 2042--2068 (2022; Zbl 07579674) Full Text: DOI OpenURL
Zhao, Xuan; Li, Xiaoli; Li, Ziyan Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids. (English) Zbl 07579658 Int. J. Comput. Math. 99, No. 9, 1719-1735 (2022). MSC: 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{X. Zhao} et al., Int. J. Comput. Math. 99, No. 9, 1719--1735 (2022; Zbl 07579658) Full Text: DOI OpenURL
Goudon, Thierry; Krell, Stella; Llobell, Julie; Minjeaud, Sebastian Transfer of conservative discrete differential operators between staggered grids: construction and duality relations. (English) Zbl 07563200 IMA J. Numer. Anal. 42, No. 3, 2459-2504 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{T. Goudon} et al., IMA J. Numer. Anal. 42, No. 3, 2459--2504 (2022; Zbl 07563200) Full Text: DOI HAL OpenURL
Zhao, Xuan; Li, Xiaoli; Li, Ziyan Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids. (English) Zbl 1486.65137 Appl. Numer. Math. 174, 34-45 (2022). MSC: 65M06 65M12 35R11 26A33 65M15 PDF BibTeX XML Cite \textit{X. Zhao} et al., Appl. Numer. Math. 174, 34--45 (2022; Zbl 1486.65137) Full Text: DOI OpenURL
Butt, Muhammad Munir On a multigrid solver for stationary Navier-Stokes velocity-pressure tracking-type control problems. (English) Zbl 07431724 Math. Comput. Simul. 192, 246-264 (2022). MSC: 76-XX 93-XX PDF BibTeX XML Cite \textit{M. M. Butt}, Math. Comput. Simul. 192, 246--264 (2022; Zbl 07431724) Full Text: DOI OpenURL
Claus, Lisa; Bolten, Matthias Nonoverlapping block smoothers for the Stokes equations. (English) Zbl 07478621 Numer. Linear Algebra Appl. 28, No. 6, e2389, 18 p. (2021). MSC: 65N55 76D07 PDF BibTeX XML Cite \textit{L. Claus} and \textit{M. Bolten}, Numer. Linear Algebra Appl. 28, No. 6, e2389, 18 p. (2021; Zbl 07478621) Full Text: DOI arXiv OpenURL
Wang, Weiyi; Tan, Zhijun A simple 3D immersed interface method for Stokes flow with singular forces on staggered grids. (English) Zbl 1473.65123 Commun. Comput. Phys. 30, No. 1, 227-254 (2021). MSC: 65M06 76D07 PDF BibTeX XML Cite \textit{W. Wang} and \textit{Z. Tan}, Commun. Comput. Phys. 30, No. 1, 227--254 (2021; Zbl 1473.65123) Full Text: DOI OpenURL
Butt, Muhammad Munir Two-level difference scheme for the two-dimensional Fokker-Planck equation. (English) Zbl 07318196 Math. Comput. Simul. 180, 276-288 (2021). MSC: 49Kxx 35Qxx 60Gxx 35Kxx 65Cxx PDF BibTeX XML Cite \textit{M. M. Butt}, Math. Comput. Simul. 180, 276--288 (2021; Zbl 07318196) Full Text: DOI OpenURL
Zhao, Lina; Chung, Eric T.; Park, Eun-Jae; Zhou, Guanyu Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems. (English) Zbl 1456.65172 SIAM J. Numer. Anal. 59, No. 1, 1-31 (2021). MSC: 65N30 65M12 76D07 76S05 35A23 35Q35 PDF BibTeX XML Cite \textit{L. Zhao} et al., SIAM J. Numer. Anal. 59, No. 1, 1--31 (2021; Zbl 1456.65172) Full Text: DOI arXiv OpenURL
Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system. (English) Zbl 1473.65140 Commun. Comput. Phys. 27, No. 3, 672-724 (2020). MSC: 65M08 76M12 76Nxx 35Q31 PDF BibTeX XML Cite \textit{T. Goudon} et al., Commun. Comput. Phys. 27, No. 3, 672--724 (2020; Zbl 1473.65140) Full Text: DOI OpenURL
Li, Xiaoli; Shen, Jie On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. (English) Zbl 1471.65106 Math. Models Methods Appl. Sci. 30, No. 12, 2263-2297 (2020). MSC: 65M06 65N06 35G25 65M12 65M15 65Z05 76D05 76D07 35Q35 PDF BibTeX XML Cite \textit{X. Li} and \textit{J. Shen}, Math. Models Methods Appl. Sci. 30, No. 12, 2263--2297 (2020; Zbl 1471.65106) Full Text: DOI arXiv OpenURL
Zhalnin, Ruslan Viktorovich; Masyagin, Viktor Fedorovich; Peskova, Elizaveta Evgen’evna; Tishkin, Vladimir Fedorovich A priori error estimates of the local discontinuous Galerkin method on staggered grids for solving a parabolic equation for the homogeneous Dirichlet problem. (Russian. English summary) Zbl 1463.65382 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 116-136 (2020). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{R. V. Zhalnin} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 116--136 (2020; Zbl 1463.65382) Full Text: DOI MNR OpenURL
Ndjinga, Michaël; Ait-Ameur, Katia A new class of \(L^2\)-stable schemes for the isentropic Euler equations on staggered grids. (English) Zbl 1454.65098 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 425-433 (2020). MSC: 65M08 65M12 35L65 76N06 35Q35 PDF BibTeX XML Cite \textit{M. Ndjinga} and \textit{K. Ait-Ameur}, Springer Proc. Math. Stat. 323, 425--433 (2020; Zbl 1454.65098) Full Text: DOI OpenURL
O’Reilly, Ossian; Petersson, N. Anders Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. (English) Zbl 1436.65108 J. Comput. Phys. 411, Article ID 109386, 21 p. (2020). MSC: 65M06 PDF BibTeX XML Cite \textit{O. O'Reilly} and \textit{N. A. Petersson}, J. Comput. Phys. 411, Article ID 109386, 21 p. (2020; Zbl 1436.65108) Full Text: DOI arXiv OpenURL
Lespagnol, Fabien; Dakin, Gautier High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids. (English) Zbl 1436.65124 J. Comput. Phys. 410, Article ID 109314, 17 p. (2020). MSC: 65M08 76N06 35Q31 76M12 PDF BibTeX XML Cite \textit{F. Lespagnol} and \textit{G. Dakin}, J. Comput. Phys. 410, Article ID 109314, 17 p. (2020; Zbl 1436.65124) Full Text: DOI OpenURL
Pan, Mingyang; He, Dongdong; Pan, Kejia Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids. (English) Zbl 1442.76148 Comput. Methods Appl. Mech. Eng. 361, Article ID 112817, 25 p. (2020). MSC: 76W05 PDF BibTeX XML Cite \textit{M. Pan} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112817, 25 p. (2020; Zbl 1442.76148) Full Text: DOI OpenURL
Zhao, Lina; Park, Eun-Jae A new hybrid staggered discontinuous Galerkin method on general meshes. (English) Zbl 1448.65252 J. Sci. Comput. 82, No. 1, Paper No. 12, 33 p. (2020). MSC: 65N30 35J15 65N15 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, J. Sci. Comput. 82, No. 1, Paper No. 12, 33 p. (2020; Zbl 1448.65252) Full Text: DOI OpenURL
Duque Guerra, David J.; Casper, Thorben; Schöps, Sebastian; De Gersem, Herbert; Römer, Ulrich; Gillon, Renaud; Wieers, Aarnout; Kratochvil, Tomas; Gotthans, Tomas; Meuris, Peter Bond wire models. (English) Zbl 1441.78028 ter Maten, E. Jan W. (ed.) et al., Nanoelectronic coupled problems solutions. Cham: Springer. Math. Ind. 29, 43-68 (2019). MSC: 78M12 78M20 78A25 80A19 80A21 35K05 35Q60 35Q79 PDF BibTeX XML Cite \textit{D. J. Duque Guerra} et al., Math. Ind. 29, 43--68 (2019; Zbl 1441.78028) Full Text: DOI OpenURL
Zijlema, Marcel The role of the Rankine-Hugoniot relations in staggered finite difference schemes for the shallow water equations. (English) Zbl 07127228 Comput. Fluids 192, Article ID 104274, 18 p. (2019). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Zijlema}, Comput. Fluids 192, Article ID 104274, 18 p. (2019; Zbl 07127228) Full Text: DOI Link OpenURL
Gómez, Pablo; Zanzi, Claudio; López, Joaquín; Hernández, Julio Simulation of high density ratio interfacial flows on cell vertex/edge-based staggered octree grids with second-order discretization at irregular nodes. (English) Zbl 1416.76037 J. Comput. Phys. 376, 478-507 (2019). MSC: 76D05 76M20 76D45 76T99 PDF BibTeX XML Cite \textit{P. Gómez} et al., J. Comput. Phys. 376, 478--507 (2019; Zbl 1416.76037) Full Text: DOI OpenURL
Ioriatti, Matteo; Dumbser, Michael A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. (English) Zbl 1403.76046 Appl. Numer. Math. 135, 443-480 (2019). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{M. Ioriatti} and \textit{M. Dumbser}, Appl. Numer. Math. 135, 443--480 (2019; Zbl 1403.76046) Full Text: DOI OpenURL
Rui, Hongxing; Sun, Ming A locking-free finite difference method on staggered grids for linear elasticity problems. (English) Zbl 1434.65218 Comput. Math. Appl. 76, No. 6, 1301-1320 (2018). MSC: 65N06 65N15 65N12 74B05 35Q74 PDF BibTeX XML Cite \textit{H. Rui} and \textit{M. Sun}, Comput. Math. Appl. 76, No. 6, 1301--1320 (2018; Zbl 1434.65218) Full Text: DOI OpenURL
Trenchant, Vincent; Ramirez, Hector; Le Gorrec, Yann; Kotyczka, Paul Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct. (English) Zbl 1416.65284 J. Comput. Phys. 373, 673-697 (2018). MSC: 65M06 65Z05 70H30 93C20 PDF BibTeX XML Cite \textit{V. Trenchant} et al., J. Comput. Phys. 373, 673--697 (2018; Zbl 1416.65284) Full Text: DOI OpenURL
Zhalnin, Ruslan Viktorovich; Masyagin, Viktor Fedorovich Galerkin method with discontinuous basis functions on staggered grips a priory estimates for the homogeneous Dirichlet problem. (Russian. English summary) Zbl 1402.65167 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 29-43 (2018). MSC: 65N30 PDF BibTeX XML Cite \textit{R. V. Zhalnin} and \textit{V. F. Masyagin}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 29--43 (2018; Zbl 1402.65167) Full Text: DOI MNR OpenURL
Shiue, Ming-Cheng; Ong, Kian Chuan; Lai, Ming-Chih Convergence of the MAC scheme for the Stokes/Darcy coupling problem. (English) Zbl 1404.65218 J. Sci. Comput. 76, No. 2, 1216-1251 (2018). MSC: 65N06 76S05 76D07 65N15 65N12 76M20 PDF BibTeX XML Cite \textit{M.-C. Shiue} et al., J. Sci. Comput. 76, No. 2, 1216--1251 (2018; Zbl 1404.65218) Full Text: DOI OpenURL
Chen, Huangxin; Sun, Shuyu; Zhang, Tao Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids. (English) Zbl 1398.65263 J. Sci. Comput. 75, No. 1, 427-456 (2018). MSC: 65N06 65N12 PDF BibTeX XML Cite \textit{H. Chen} et al., J. Sci. Comput. 75, No. 1, 427--456 (2018; Zbl 1398.65263) Full Text: DOI OpenURL
Gong, Yuezheng; Zhao, Jia; Wang, Qi Second order fully discrete energy stable methods on staggered grids for hydrodynamic phase field models of binary viscous fluids. (English) Zbl 1393.65012 SIAM J. Sci. Comput. 40, No. 2, B528-B553 (2018). MSC: 65M06 35Q35 76T10 PDF BibTeX XML Cite \textit{Y. Gong} et al., SIAM J. Sci. Comput. 40, No. 2, B528--B553 (2018; Zbl 1393.65012) Full Text: DOI OpenURL
Mattsson, Ken; O’Reilly, Ossian Compatible diagonal-norm staggered and upwind SBP operators. (English) Zbl 1375.76111 J. Comput. Phys. 352, 52-75 (2018). MSC: 76M20 65M12 65M06 PDF BibTeX XML Cite \textit{K. Mattsson} and \textit{O. O'Reilly}, J. Comput. Phys. 352, 52--75 (2018; Zbl 1375.76111) Full Text: DOI OpenURL
Fambri, Francesco; Dumbser, Michael Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. (English) Zbl 1439.76066 Comput. Methods Appl. Mech. Eng. 324, 170-203 (2017). MSC: 76M10 65M60 65M50 76D05 PDF BibTeX XML Cite \textit{F. Fambri} and \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 324, 170--203 (2017; Zbl 1439.76066) Full Text: DOI arXiv OpenURL
Solano-Feo, Freysimar; Guevara-Jordan, Juan; González-Ramirez, Carlos; Rojas-Ulacio, Otilio; Otero-Calvinyo, Beatriz Modeling seismic wave propagation using staggered-grid mimetic finite differences. (English) Zbl 1392.78022 Bull. Comput. Appl. Math. 5, No. 2, 9-28 (2017). MSC: 78M25 78A40 PDF BibTeX XML Cite \textit{F. Solano-Feo} et al., Bull. Comput. Appl. Math. 5, No. 2, 9--28 (2017; Zbl 1392.78022) Full Text: Link OpenURL
Butt, Muhammad Munir A multigrid solver for Stokes control problems. (English) Zbl 1394.35525 Int. J. Comput. Math. 94, No. 12, 2297-2314 (2017). MSC: 35Q93 49K20 65N55 76D07 93C20 65F10 PDF BibTeX XML Cite \textit{M. M. Butt}, Int. J. Comput. Math. 94, No. 12, 2297--2314 (2017; Zbl 1394.35525) Full Text: DOI OpenURL
Butt, M. M.; Yuan, Y. A full multigrid method for distributed control problems constrained by Stokes equations. (English) Zbl 1399.65350 Numer. Math., Theory Methods Appl. 10, No. 3, 639-655 (2017). MSC: 65N55 49J20 76D07 65N06 65F10 PDF BibTeX XML Cite \textit{M. M. Butt} and \textit{Y. Yuan}, Numer. Math., Theory Methods Appl. 10, No. 3, 639--655 (2017; Zbl 1399.65350) Full Text: DOI OpenURL
O’Reilly, Ossian; Lundquist, Tomas; Dunham, Eric M.; Nordström, Jan Energy stable and high-order-accurate finite difference methods on staggered grids. (English) Zbl 1380.65173 J. Comput. Phys. 346, 572-589 (2017). MSC: 65M06 PDF BibTeX XML Cite \textit{O. O'Reilly} et al., J. Comput. Phys. 346, 572--589 (2017; Zbl 1380.65173) Full Text: DOI Link OpenURL
Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna Stable perfectly matched layers for a cold plasma in a strong background magnetic field. (English) Zbl 1376.78003 J. Comput. Phys. 341, 76-101 (2017). MSC: 78A40 PDF BibTeX XML Cite \textit{E. Bécache} et al., J. Comput. Phys. 341, 76--101 (2017; Zbl 1376.78003) Full Text: DOI HAL OpenURL
Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian A staggered scheme for the Euler equations. (English) Zbl 1366.76060 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 91-99 (2017). MSC: 76M12 65M08 35L65 35Q31 PDF BibTeX XML Cite \textit{T. Goudon} et al., Springer Proc. Math. Stat. 200, 91--99 (2017; Zbl 1366.76060) Full Text: DOI HAL OpenURL
Kim, Hyea Hyun; Chung, Eric T.; Lam, Chi Yeung Mortar formulation for a class of staggered discontinuous Galerkin methods. (English) Zbl 1443.65351 Comput. Math. Appl. 71, No. 8, 1568-1585 (2016). MSC: 65N30 65N12 65N55 PDF BibTeX XML Cite \textit{H. H. Kim} et al., Comput. Math. Appl. 71, No. 8, 1568--1585 (2016; Zbl 1443.65351) Full Text: DOI OpenURL
Sheu, Tony W. H.; Wang, Y. C.; Li, J. H. Development of a 3D staggered FDTD scheme for solving Maxwell’s equations in Drude medium. (English) Zbl 1443.65141 Comput. Math. Appl. 71, No. 6, 1198-1226 (2016). MSC: 65M06 78A25 PDF BibTeX XML Cite \textit{T. W. H. Sheu} et al., Comput. Math. Appl. 71, No. 6, 1198--1226 (2016; Zbl 1443.65141) Full Text: DOI OpenURL
Moin, P.; Verzicco, R. On the suitability of second-order accurate discretizations for turbulent flow simulations. (English) Zbl 1408.76321 Eur. J. Mech., B, Fluids 55, Part 2, 242-245 (2016). MSC: 76F65 76M20 PDF BibTeX XML Cite \textit{P. Moin} and \textit{R. Verzicco}, Eur. J. Mech., B, Fluids 55, Part 2, 242--245 (2016; Zbl 1408.76321) Full Text: DOI OpenURL
Zlotnik, A. A. On new spatial discretization of the multidimensional quasi-gasdynamic system of equations with nondecreasing total entropy. (English. Russian original) Zbl 1354.35121 Dokl. Math. 94, No. 1, 423-429 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 4, 402-408 (2016). MSC: 35Q35 65M06 76N15 76M20 PDF BibTeX XML Cite \textit{A. A. Zlotnik}, Dokl. Math. 94, No. 1, 423--429 (2016; Zbl 1354.35121); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 4, 402--408 (2016) Full Text: DOI OpenURL
Fambri, Francesco; Dumbser, Michael Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. (English) Zbl 1432.76157 Appl. Numer. Math. 110, 41-74 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{F. Fambri} and \textit{M. Dumbser}, Appl. Numer. Math. 110, 41--74 (2016; Zbl 1432.76157) Full Text: DOI arXiv OpenURL
Zhalnin, R. V.; Ladonkina, M. E.; Masyagin, V. F.; Tishkin, V. F. Solving the problem of non-stationary filtration of substance by the discontinuous Galerkin method on unstructured grids. (English. Russian original) Zbl 1381.76356 Comput. Math. Math. Phys. 56, No. 6, 977-986 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 989-998 (2016). MSC: 76S05 76M10 65M60 PDF BibTeX XML Cite \textit{R. V. Zhalnin} et al., Comput. Math. Math. Phys. 56, No. 6, 977--986 (2016; Zbl 1381.76356); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 989--998 (2016) Full Text: DOI OpenURL
Haber, Eldad; Horesh, Raya A multilevel method for the solution of time dependent optimal transport. (English) Zbl 1340.76064 Numer. Math., Theory Methods Appl. 8, No. 1, 97-111 (2015). MSC: 76M25 65K10 PDF BibTeX XML Cite \textit{E. Haber} and \textit{R. Horesh}, Numer. Math., Theory Methods Appl. 8, No. 1, 97--111 (2015; Zbl 1340.76064) Full Text: DOI OpenURL
Li, Jichun; Sun, Shuyu The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. (English) Zbl 1328.65210 J. Sci. Comput. 65, No. 1, 341-362 (2015). MSC: 65M60 65N30 76D07 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Sun}, J. Sci. Comput. 65, No. 1, 341--362 (2015; Zbl 1328.65210) Full Text: DOI OpenURL
Chikitkin, A. V.; Rogov, B. V.; Utyuzhnikov, S. V. High-order accurate monotone compact running scheme for multidimensional hyperbolic equations. (English) Zbl 1325.65122 Appl. Numer. Math. 93, 150-163 (2015). MSC: 65M06 35L67 76L05 76M20 PDF BibTeX XML Cite \textit{A. V. Chikitkin} et al., Appl. Numer. Math. 93, 150--163 (2015; Zbl 1325.65122) Full Text: DOI OpenURL
Tavelli, Maurizio; Dumbser, Michael A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. (English) Zbl 1298.76120 Appl. Math. Comput. 234, 623-644 (2014). MSC: 76M10 65M60 76B15 PDF BibTeX XML Cite \textit{M. Tavelli} and \textit{M. Dumbser}, Appl. Math. Comput. 234, 623--644 (2014; Zbl 1298.76120) Full Text: DOI arXiv OpenURL
Gaspar, Francisco J.; Notay, Yvan; Oosterlee, Cornelis W.; Rodrigo, Carmen A simple and efficient segregated smoother for the discrete Stokes equations. (English) Zbl 1299.76171 SIAM J. Sci. Comput. 36, No. 3, A1187-A1206 (2014). MSC: 76M20 76D05 65N55 65F10 PDF BibTeX XML Cite \textit{F. J. Gaspar} et al., SIAM J. Sci. Comput. 36, No. 3, A1187--A1206 (2014; Zbl 1299.76171) Full Text: DOI OpenURL
Chiu, Pao-Hsiung; Lin, Reui-Kuo; Kuo, Sheng-Hsiu; Lin, Yan-Ting Flux-splitting dispersion-relation-preserving dual-compact upwind scheme for solving the Maxwell’s equations on non-staggered grids. (English) Zbl 1438.78009 Appl. Math. Modelling 37, No. 7, 4747-4758 (2013). MSC: 78M20 78A25 65M06 35Q60 78A45 PDF BibTeX XML Cite \textit{P.-H. Chiu} et al., Appl. Math. Modelling 37, No. 7, 4747--4758 (2013; Zbl 1438.78009) Full Text: DOI OpenURL
Sheu, Tony W. H.; Mei, C. M.; Li, J. H. Development of a wavenumber-preserving scheme for solving Maxwell’s equations in curvilinear non-staggered grids. (English) Zbl 1349.78100 J. Comput. Phys. 247, 208-227 (2013). MSC: 78M20 65M06 78A40 PDF BibTeX XML Cite \textit{T. W. H. Sheu} et al., J. Comput. Phys. 247, 208--227 (2013; Zbl 1349.78100) Full Text: DOI OpenURL
Tavelli, M.; Dumbser, Michael; Casulli, V. High resolution methods for scalar transport problems in compliant systems of arteries. (English) Zbl 1302.76134 Appl. Numer. Math. 74, 62-82 (2013). MSC: 76M20 65M06 76Z05 92C35 PDF BibTeX XML Cite \textit{M. Tavelli} et al., Appl. Numer. Math. 74, 62--82 (2013; Zbl 1302.76134) Full Text: DOI OpenURL
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 OpenURL
Karasözen, Bülent; Nemtsev, Andrew D.; Tsybulin, Vyacheslav G. Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium. (English) Zbl 1268.76041 Comput. Math. Appl. 64, No. 6, 1740-1751 (2012). MSC: 76M20 76S05 65M06 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Comput. Math. Appl. 64, No. 6, 1740--1751 (2012; Zbl 1268.76041) Full Text: DOI OpenURL
Engquist, B.; Häggblad, J.; Runborg, O. On energy preserving consistent boundary conditions for the Yee scheme in 2D. (English) Zbl 1257.78021 BIT 52, No. 3, 615-637 (2012). Reviewer: Georg Hebermehl (Berlin) MSC: 78M20 65M12 35L05 65M06 65N06 PDF BibTeX XML Cite \textit{B. Engquist} et al., BIT 52, No. 3, 615--637 (2012; Zbl 1257.78021) Full Text: DOI OpenURL
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. Finite difference analysis of a double-porosity consolidation model. (English) Zbl 1373.76157 Numer. Methods Partial Differ. Equations 28, No. 1, 138-154 (2012). MSC: 76M20 76S05 74F10 65M06 65M12 PDF BibTeX XML Cite \textit{N. Boal} et al., Numer. Methods Partial Differ. Equations 28, No. 1, 138--154 (2012; Zbl 1373.76157) Full Text: DOI OpenURL
Butt, M. M.; Borzì, A. Formulation and multigrid solution of Cauchy-Riemann optimal control problems. (English) Zbl 1308.35318 Comput. Vis. Sci. 14, No. 2, 79-90 (2011). MSC: 35Q93 49K20 65N55 PDF BibTeX XML Cite \textit{M. M. Butt} and \textit{A. Borzì}, Comput. Vis. Sci. 14, No. 2, 79--90 (2011; Zbl 1308.35318) Full Text: DOI Link OpenURL
Dehghan, Mehdi; Jazlanian, Rooholah A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws. (English) Zbl 1262.65098 Comput. Phys. Commun. 182, No. 6, 1284-1294 (2011). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{R. Jazlanian}, Comput. Phys. Commun. 182, No. 6, 1284--1294 (2011; Zbl 1262.65098) Full Text: DOI OpenURL
Hagness, Susan C.; Taflove, Allen; Gedney, Stephen D. Finite-difference time-domain methods. (English) Zbl 1271.78002 Schilders, W. H. A. (ed.) et al., Essential numerical methods in electromagnetics. A derivative handbook of numerical analysis. Special volume: Numerical methods in electromagnetics. Volume XIII. Amsterdam: Elsevier (ISBN 978-0-444-53756-0/hbk). 103-219 (2011). Reviewer: Roland Pulch (Wuppertal) MSC: 78-02 65M06 65M12 65M50 65-02 78M20 PDF BibTeX XML Cite \textit{S. C. Hagness} et al., in: Essential numerical methods in electromagnetics. A derivative handbook of numerical analysis. Special volume: Numerical methods in electromagnetics. Volume XIII. Amsterdam: Elsevier. 103--219 (2011; Zbl 1271.78002) OpenURL
Gedney, Stephen D. Introduction to the finite-difference time-domain (FDTD) method for electromagnetics. (English) Zbl 1271.78001 Synthesis Lectures on Computational Electromagnetics 27. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-60845-522-5/pbk; 978-1-60845-523-2/ebook). xiv, 236 p. (2011). Reviewer: Georg Hebermehl (Berlin) MSC: 78-01 78M20 78A25 78A40 78A45 78A50 65M06 65M12 PDF BibTeX XML Cite \textit{S. D. Gedney}, Introduction to the finite-difference time-domain (FDTD) method for electromagnetics. San Rafael, CA: Morgan \& Claypool Publishers (2011; Zbl 1271.78001) Full Text: DOI OpenURL
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. Finite-difference analysis of fully dynamic problems for saturated porous media. (English) Zbl 1375.76106 J. Comput. Appl. Math. 236, No. 6, 1090-1102 (2011). MSC: 76M20 76S05 74F10 PDF BibTeX XML Cite \textit{N. Boal} et al., J. Comput. Appl. Math. 236, No. 6, 1090--1102 (2011; Zbl 1375.76106) Full Text: DOI OpenURL
Suh, Yong Kweon; Kang, Sangmo Simple, coupled algorithms for solving creeping flows and their application to electro-osmotic flows. (English) Zbl 1432.76294 Int. J. Numer. Methods Fluids 66, No. 10, 1248-1273 (2011). MSC: 76W05 76M99 PDF BibTeX XML Cite \textit{Y. K. Suh} and \textit{S. Kang}, Int. J. Numer. Methods Fluids 66, No. 10, 1248--1273 (2011; Zbl 1432.76294) Full Text: DOI OpenURL
Arbel, A.; Shklyar, A. Simulation of incompressible flow with alternate pressure Dirichlet and Neumann conditions. (English) Zbl 1372.76076 Math. Comput. Simul. 81, No. 3, 742-756 (2010). MSC: 76M25 65N08 PDF BibTeX XML Cite \textit{A. Arbel} and \textit{A. Shklyar}, Math. Comput. Simul. 81, No. 3, 742--756 (2010; Zbl 1372.76076) Full Text: DOI OpenURL
Hokpunna, Arpiruk; Manhart, Michael Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids. (English) Zbl 1425.76164 J. Comput. Phys. 229, No. 20, 7545-7570 (2010). MSC: 76M12 35Q30 PDF BibTeX XML Cite \textit{A. Hokpunna} and \textit{M. Manhart}, J. Comput. Phys. 229, No. 20, 7545--7570 (2010; Zbl 1425.76164) Full Text: DOI OpenURL
Sheu, Tony W. H.; Hung, Y. W.; Tsai, M. H.; Chiu, P. H.; Li, J. H. On the development of a triple-preserving Maxwell’s equations solver in non-staggered grids. (English) Zbl 1196.78029 Int. J. Numer. Methods Fluids 63, No. 11, 1328-1346 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M12 35Q61 PDF BibTeX XML Cite \textit{T. W. H. Sheu} et al., Int. J. Numer. Methods Fluids 63, No. 11, 1328--1346 (2010; Zbl 1196.78029) Full Text: DOI Link OpenURL
Wang, Kun; Jin, Sheng; Wang, Nianbin; Gao, Shufeng A semi-implicit discrete scheme for solving one-dimensional shallow water flow equation. (Chinese. English summary) Zbl 1224.65242 J. Harbin Inst. Technol. 41, No. 10, 217-219 (2009). MSC: 65N06 PDF BibTeX XML Cite \textit{K. Wang} et al., J. Harbin Inst. Technol. 41, No. 10, 217--219 (2009; Zbl 1224.65242) OpenURL
Ahusborde, E. Legendre spectral methods for the -grad (div) operator with free boundary conditions. (English) Zbl 1175.65131 Numer. Algorithms 52, No. 2, 151-171 (2009). MSC: 65N25 65N35 65N12 35P15 PDF BibTeX XML Cite \textit{E. Ahusborde}, Numer. Algorithms 52, No. 2, 151--171 (2009; Zbl 1175.65131) Full Text: DOI OpenURL
Laukaitytė, Inga; Čiegis, Raimondas; Lichtner, Mark; Radziunas, Mindaugas Parallel numerical algorithm for the traveling wave model. (English) Zbl 1393.78016 Čiegis, Raimondas (ed.) et al., Parallel scientific computing and optimization. Advances and applications. New York, NY: Springer (ISBN 978-0-387-09706-0/hbk). Springer Optimization and Its Applications 27, 237-251 (2009). MSC: 78M20 78A60 65M06 65Y05 35C07 78A40 65M55 PDF BibTeX XML Cite \textit{I. Laukaitytė} et al., Springer Optim. Appl. 27, 237--251 (2009; Zbl 1393.78016) Full Text: DOI OpenURL
Čiegis, R.; Dement’ev, A.; Laukaitytė, I. A numerical algorithm for simulation of the Q-switched fiber laser using the travelling wave model. (English) Zbl 1208.78037 Lith. Math. J. 48, No. 3, 270-281 (2008). MSC: 78M20 78A60 65M12 PDF BibTeX XML Cite \textit{R. Čiegis} et al., Lith. Math. J. 48, No. 3, 270--281 (2008; Zbl 1208.78037) Full Text: DOI OpenURL
Karasözen, B.; Nemtsev, A. D.; Tsybulin, V. G. Staggered grids discretization in three-dimensional Darcy convection. (English) Zbl 1196.76079 Comput. Phys. Commun. 178, No. 12, 885-893 (2008). MSC: 76S05 76E06 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Comput. Phys. Commun. 178, No. 12, 885--893 (2008; Zbl 1196.76079) Full Text: DOI arXiv OpenURL
Oishi, C. M.; Cuminato, J. A.; Yuan, J. Y.; McKee, S. Stability of numerical schemes on staggered grids. (English) Zbl 1212.35184 Numer. Linear Algebra Appl. 15, No. 10, 945-967 (2008). MSC: 35K05 35Q30 65M12 PDF BibTeX XML Cite \textit{C. M. Oishi} et al., Numer. Linear Algebra Appl. 15, No. 10, 945--967 (2008; Zbl 1212.35184) Full Text: DOI OpenURL
Liu, Yudi; Zhang, Qinghong Computational properties of vertical grids for a nonhydrostatic anelastic model. (English) Zbl 1184.76768 Int. J. Comput. Fluid Dyn. 22, No. 3, 193-200 (2008). MSC: 76M20 76B15 76U05 86A05 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Q. Zhang}, Int. J. Comput. Fluid Dyn. 22, No. 3, 193--200 (2008; Zbl 1184.76768) Full Text: DOI OpenURL
Arminjon, P.; Touma, R. Finite volume central schemes for three-dimensional ideal MHD. (English) Zbl 1134.76036 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 323-330 (2008). MSC: 76M12 76W05 PDF BibTeX XML Cite \textit{P. Arminjon} and \textit{R. Touma}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 323--330 (2008; Zbl 1134.76036) OpenURL
Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Vabishchevich, P. N. A stabilized method for a secondary consolidation Biot’s model. (English) Zbl 1128.76043 Numer. Methods Partial Differ. Equations 24, No. 1, 60-78 (2008). MSC: 76M20 76S05 65M12 65M06 65M15 PDF BibTeX XML Cite \textit{F. J. Gaspar} et al., Numer. Methods Partial Differ. Equations 24, No. 1, 60--78 (2008; Zbl 1128.76043) Full Text: DOI OpenURL
Ahusborde, E.; Azaïez, M.; Deville, M. O.; Mund, E. H. Legendre spectral methods for the - grad(div) operator. (English) Zbl 1173.65361 Comput. Methods Appl. Mech. Eng. 196, No. 45-48, 4538-4547 (2007). MSC: 65N35 65N25 PDF BibTeX XML Cite \textit{E. Ahusborde} et al., Comput. Methods Appl. Mech. Eng. 196, No. 45--48, 4538--4547 (2007; Zbl 1173.65361) Full Text: DOI OpenURL
Sheu, Tony W. H.; Chiu, P. H. A divergence-free-condition compensated method for incompressible Navier-Stokes equations. (English) Zbl 1173.76377 Comput. Methods Appl. Mech. Eng. 196, No. 45-48, 4479-4494 (2007). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{T. W. H. Sheu} and \textit{P. H. Chiu}, Comput. Methods Appl. Mech. Eng. 196, No. 45--48, 4479--4494 (2007; Zbl 1173.76377) Full Text: DOI OpenURL
Ren, Yuxin; Liu, Miao’er; Zhang, Hanxin Implementation of the divergence-free and pressure-oscillation-free projection method for solving the incompressible Navier-Stokes equations on the collocated grids. (English) Zbl 1164.76329 Commun. Comput. Phys. 2, No. 4, 746-759 (2007). MSC: 76D05 65M06 65M15 PDF BibTeX XML Cite \textit{Y. Ren} et al., Commun. Comput. Phys. 2, No. 4, 746--759 (2007; Zbl 1164.76329) OpenURL
Toy, Michael D.; Randall, David A. Comment on the article “Vertical discretizations for compressible Euler equation atmospheric models giving optimal representation of normal modes” by J. Thuburn and T. J. Woollings. (English) Zbl 1163.76390 J. Comput. Phys. 223, No. 1, 82-88 (2007). MSC: 76M10 86A10 76B60 76N99 65M06 PDF BibTeX XML Cite \textit{M. D. Toy} and \textit{D. A. Randall}, J. Comput. Phys. 223, No. 1, 82--88 (2007; Zbl 1163.76390) Full Text: DOI OpenURL
Aprovitola, A.; Denaro, F. M. A non-diffusive, divergence-free, finite volume-based double projection method on non-staggered grids. (English) Zbl 1370.76089 Int. J. Numer. Methods Fluids 53, No. 7, 1127-1172 (2007). MSC: 76M12 PDF BibTeX XML Cite \textit{A. Aprovitola} and \textit{F. M. Denaro}, Int. J. Numer. Methods Fluids 53, No. 7, 1127--1172 (2007; Zbl 1370.76089) Full Text: DOI OpenURL
Xie, Zuotao; Zhang, Xiaofeng; Tan, Guangming; Yang, Fangli Numerical simulation of 2D horizontal cooling water discharge in generalized curvilinear coordinate. (English) Zbl 1208.76015 J. Hydrodyn., Ser. B 18, No. 1, 91-96 (2006). MSC: 76B10 76M12 86A05 PDF BibTeX XML Cite \textit{Z. Xie} et al., J. Hydrodyn., Ser. B 18, No. 1, 91--96 (2006; Zbl 1208.76015) Full Text: DOI OpenURL
Denaro, F. M. A 3D second-order accurate projection-based finite volume code on non-staggered, non-uniform structured grids with continuity preserving properties: application to buoyancy-driven flows. (English) Zbl 1370.76093 Int. J. Numer. Methods Fluids 52, No. 4, 393-432 (2006). MSC: 76M12 76-04 PDF BibTeX XML Cite \textit{F. M. Denaro}, Int. J. Numer. Methods Fluids 52, No. 4, 393--432 (2006; Zbl 1370.76093) Full Text: DOI OpenURL
Naumovich, A. On finite volume discretization of the three-dimensional Biot poroelasticity system in multilayer domains. (English) Zbl 1100.74060 Comput. Methods Appl. Math. 6, No. 3, 306-325 (2006). MSC: 74S10 74F10 76S05 PDF BibTeX XML Cite \textit{A. Naumovich}, Comput. Methods Appl. Math. 6, No. 3, 306--325 (2006; Zbl 1100.74060) Full Text: DOI OpenURL
Layton, Anita T.; Christara, Christina C.; Jackson, Kenneth R. Quadratic spline methods for the shallow water equations on the sphere: Collocation. (English) Zbl 1161.76514 Math. Comput. Simul. 71, No. 3, 187-205 (2006). MSC: 76M10 65M60 76B15 76B65 86A05 PDF BibTeX XML Cite \textit{A. T. Layton} et al., Math. Comput. Simul. 71, No. 3, 187--205 (2006; Zbl 1161.76514) Full Text: DOI OpenURL
Layton, Anita T.; Christara, Christina C.; Jackson, Kenneth R. Quadratic spline methods for the shallow water equations on the sphere: Galerkin. (English) Zbl 1161.76029 Math. Comput. Simul. 71, No. 3, 175-186 (2006). MSC: 76M10 65M60 76B15 76B65 86A05 PDF BibTeX XML Cite \textit{A. T. Layton} et al., Math. Comput. Simul. 71, No. 3, 175--186 (2006; Zbl 1161.76029) Full Text: DOI OpenURL
Noelle, S.; Rosenbaum, W.; Rumpf, M. 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. (English) Zbl 1137.76041 Appl. Numer. Math. 56, No. 6, 778-799 (2006). MSC: 76M12 PDF BibTeX XML Cite \textit{S. Noelle} et al., Appl. Numer. Math. 56, No. 6, 778--799 (2006; Zbl 1137.76041) Full Text: DOI arXiv OpenURL
Goodrich, John; Hagstrom, Thomas; Lorenz, Jens Hermite methods for hyperbolic initial-boundary value problems. (English) Zbl 1103.35065 Math. Comput. 75, No. 254, 595-630 (2006). Reviewer: I. N. Katz (St. Louis) MSC: 35L50 65M12 65M06 PDF BibTeX XML Cite \textit{J. Goodrich} et al., Math. Comput. 75, No. 254, 595--630 (2006; Zbl 1103.35065) Full Text: DOI OpenURL
Chow, W. K.; Gao, Y. On using the wall function and the staggered grid arrangement at upwind sharp convex corners in simulating approach air flow. (English) Zbl 1184.76737 Int. J. Comput. Fluid Dyn. 19, No. 5, 381-398 (2005). MSC: 76M12 76F60 PDF BibTeX XML Cite \textit{W. K. Chow} and \textit{Y. Gao}, Int. J. Comput. Fluid Dyn. 19, No. 5, 381--398 (2005; Zbl 1184.76737) Full Text: DOI OpenURL
Sheu, Tony W. H.; Lin, R. K. On a high-order Newton linearization method for solving the incompressible Navier-Stokes equations. (English) Zbl 1078.76579 Int. J. Numer. Methods Eng. 62, No. 11, 1559-1578 (2005). MSC: 76M20 76D05 76R99 76V05 65F10 PDF BibTeX XML Cite \textit{T. W. H. Sheu} and \textit{R. K. Lin}, Int. J. Numer. Methods Eng. 62, No. 11, 1559--1578 (2005; Zbl 1078.76579) Full Text: DOI OpenURL
Armfield, S.; Street, R. A comparison of staggered and non-staggered grid Navier-Stokes solutions for the \(8:1\) cavity natural convection flow. (English) Zbl 1116.76403 ANZIAM J. 46C, Proc. 2004, C918-C934 (2005). MSC: 76M25 76R10 PDF BibTeX XML Cite \textit{S. Armfield} and \textit{R. Street}, ANZIAM J. 46C, C918--C934 (2005; Zbl 1116.76403) OpenURL
Karasözen, B.; Tsybulin, V. G. Cosymmetry preserving finite-difference methods for convection equations in a porous medium. (English) Zbl 1236.76040 Appl. Numer. Math. 55, No. 1, 69-82 (2005). MSC: 76M20 76S05 65M06 PDF BibTeX XML Cite \textit{B. Karasözen} and \textit{V. G. Tsybulin}, Appl. Numer. Math. 55, No. 1, 69--82 (2005; Zbl 1236.76040) Full Text: DOI OpenURL
Hicken, J. E.; Ham, F. E.; Militzer, J.; Koksal, M. A shift transformation for fully conservative methods: turbulence simulation on complex, unstructured grids. (English) Zbl 1329.76134 J. Comput. Phys. 208, No. 2, 704-734 (2005). MSC: 76F60 76M12 76M20 PDF BibTeX XML Cite \textit{J. E. Hicken} et al., J. Comput. Phys. 208, No. 2, 704--734 (2005; Zbl 1329.76134) Full Text: DOI OpenURL
Thuburn, J.; Woollings, T. J. Vertical discretizations for compressible Euler equation atmospheric models giving optimal representation of normal modes. (English) Zbl 1143.76488 J. Comput. Phys. 203, No. 2, 386-404 (2005). MSC: 76M10 76B60 86A10 PDF BibTeX XML Cite \textit{J. Thuburn} and \textit{T. J. Woollings}, J. Comput. Phys. 203, No. 2, 386--404 (2005; Zbl 1143.76488) Full Text: DOI OpenURL
Aldrighetti, E.; Zanolli, P. A high resolution scheme for flows in open channels with arbitrary cross-section. (English) Zbl 1134.76401 Int. J. Numer. Methods Fluids 47, No. 8-9, 817-824 (2005). MSC: 76M20 65M06 PDF BibTeX XML Cite \textit{E. Aldrighetti} and \textit{P. Zanolli}, Int. J. Numer. Methods Fluids 47, No. 8--9, 817--824 (2005; Zbl 1134.76401) Full Text: DOI Link OpenURL
Zhao, Shan; Wei, G. W. High-order FDTD methods via derivative matching for Maxwell’s equations with material interfaces. (English) Zbl 1050.78018 J. Comput. Phys. 200, No. 1, 60-103 (2004). MSC: 78M20 78A25 35Q60 PDF BibTeX XML Cite \textit{S. Zhao} and \textit{G. W. Wei}, J. Comput. Phys. 200, No. 1, 60--103 (2004; Zbl 1050.78018) Full Text: DOI OpenURL
Gaspar, Francisco J.; Lisabon, Francisco J. A numerical model for the radial flow through porous and deformable shells. (English) Zbl 1179.74169 Comput. Methods Appl. Math. 4, No. 1, 34-47 (2004). MSC: 74S20 65M06 65M12 74F10 74K25 PDF BibTeX XML Cite \textit{F. J. Gaspar} and \textit{F. J. Lisabon}, Comput. Methods Appl. Math. 4, No. 1, 34--47 (2004; Zbl 1179.74169) Full Text: DOI OpenURL
Sheu, Tony W. H.; Lin, R. K. Newton linearization of the incompressible Navier-Stokes equations. (English) Zbl 1035.76038 Int. J. Numer. Methods Fluids 44, No. 3, 297-312 (2004). MSC: 76M20 76D05 76R99 PDF BibTeX XML Cite \textit{T. W. H. Sheu} and \textit{R. K. Lin}, Int. J. Numer. Methods Fluids 44, No. 3, 297--312 (2004; Zbl 1035.76038) Full Text: DOI OpenURL
Armfield, S.; Street, R. The pressure accuracy of fractional-step methods for the Navier-Stokes equations on staggered grids. (English) Zbl 1123.76344 ANZIAM J. 44C, Proc. 2001, C20-C39 (2003). MSC: 76M12 76D05 65M06 PDF BibTeX XML Cite \textit{S. Armfield} and \textit{R. Street}, ANZIAM J. 44C, C20--C39 (2003; Zbl 1123.76344) OpenURL
Stelling, G. S.; Duinmeijer, S. P. A. A staggered conservative scheme for every Froude number in rapidly varied shallow water flows. (English) Zbl 1062.76541 Int. J. Numer. Methods Fluids 43, No. 12, 1329-1354 (2003). MSC: 76M20 76B10 PDF BibTeX XML Cite \textit{G. S. Stelling} and \textit{S. P. A. Duinmeijer}, Int. J. Numer. Methods Fluids 43, No. 12, 1329--1354 (2003; Zbl 1062.76541) Full Text: DOI OpenURL
Lie, Knut-Andreas; Noelle, Sebastian An improved quadrature rule for the flux computation in staggered central difference schemes in multidimensions. (English) Zbl 1024.76030 J. Sci. Comput. 18, No. 1, 69-81 (2003). MSC: 76M20 65M06 35L65 PDF BibTeX XML Cite \textit{K.-A. Lie} and \textit{S. Noelle}, J. Sci. Comput. 18, No. 1, 69--81 (2003; Zbl 1024.76030) Full Text: DOI OpenURL
Wenneker, I.; Segal, A.; Wesseling, P. Conservation properties of a new unstructured staggered scheme. (English) Zbl 1151.76535 Comput. Fluids 32, No. 1, 139-147 (2003). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{I. Wenneker} et al., Comput. Fluids 32, No. 1, 139--147 (2003; Zbl 1151.76535) Full Text: DOI OpenURL
Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N. A finite difference analysis of Biot’s consolidation model. (English) Zbl 1023.76032 Appl. Numer. Math. 44, No. 4, 487-506 (2003). MSC: 76M20 76S05 PDF BibTeX XML Cite \textit{F. J. Gaspar} et al., Appl. Numer. Math. 44, No. 4, 487--506 (2003; Zbl 1023.76032) Full Text: DOI OpenURL
Lie, Knut-Andreas; Noelle, Sebastian; Rosenbaum, Wolfram On the resolution and stability of central difference schemes. (English) Zbl 1063.65092 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 793-800 (2002). MSC: 65M12 65M06 35L65 65M50 PDF BibTeX XML Cite \textit{K.-A. Lie} et al., in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 793--800 (2002; Zbl 1063.65092) OpenURL
Wenneker, I.; Segal, A.; Wesseling, P. A Mach-uniform unstructured staggered grid method. (English) Zbl 1025.76023 Int. J. Numer. Methods Fluids 40, No. 9, 1209-1235 (2002). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{I. Wenneker} et al., Int. J. Numer. Methods Fluids 40, No. 9, 1209--1235 (2002; Zbl 1025.76023) Full Text: DOI OpenURL