Bahari, Mustapha; Quenjel, El-Houssaine; Rhoudaf, Mohamed Discrete duality finite volume scheme for a generalized Joule heating problem. (English) Zbl 07814908 Calcolo 61, No. 1, Paper No. 14, 34 p. (2024). MSC: 65M08 65M06 65N08 65N50 65M12 35K65 35K92 80A19 78A55 PDFBibTeX XMLCite \textit{M. Bahari} et al., Calcolo 61, No. 1, Paper No. 14, 34 p. (2024; Zbl 07814908) Full Text: DOI
Meng, Xiangyun; Stynes, Martin Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction-diffusion problems. (English) Zbl 1523.65086 Calcolo 60, No. 3, Paper No. 40, 37 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 35B25 PDFBibTeX XMLCite \textit{X. Meng} and \textit{M. Stynes}, Calcolo 60, No. 3, Paper No. 40, 37 p. (2023; Zbl 1523.65086) Full Text: DOI
Chu, Shaoshuai; Kurganov, Alexander Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models. (English) Zbl 1504.65184 Calcolo 60, No. 1, Paper No. 2, 35 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65M20 65L05 65N08 76M12 76M20 76N15 76Z05 92C35 35L65 35L67 PDFBibTeX XMLCite \textit{S. Chu} and \textit{A. Kurganov}, Calcolo 60, No. 1, Paper No. 2, 35 p. (2023; Zbl 1504.65184) Full Text: DOI
Del Grosso, A.; Chalons, C. Second-order well-balanced Lagrange-projection schemes for blood flow equations. (English) Zbl 1477.65145 Calcolo 58, No. 4, Paper No. 43, 39 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{A. Del Grosso} and \textit{C. Chalons}, Calcolo 58, No. 4, Paper No. 43, 39 p. (2021; Zbl 1477.65145) Full Text: DOI
Bulteau, Solène; Badsi, Mehdi; Berthon, Christophe; Bessemoulin-Chatard, Marianne A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term. (English) Zbl 1477.65142 Calcolo 58, No. 4, Paper No. 41, 37 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 35B40 76B15 35Q35 PDFBibTeX XMLCite \textit{S. Bulteau} et al., Calcolo 58, No. 4, Paper No. 41, 37 p. (2021; Zbl 1477.65142) Full Text: DOI
Pietro, Daniele A. Di; Droniou, Jérôme; Harnist, André Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. (English) Zbl 1471.65176 Calcolo 58, No. 2, Paper No. 19, 24 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N12 65N15 76A05 35Q35 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., Calcolo 58, No. 2, Paper No. 19, 24 p. (2021; Zbl 1471.65176) Full Text: DOI arXiv
Quenjel, El Houssaine; Saad, Mazen; Ghilani, Mustapha; Bessemoulin-Chatard, Marianne Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations. (English) Zbl 1442.65203 Calcolo 57, No. 2, Paper No. 19, 38 p. (2020). MSC: 65M08 65M12 35K65 PDFBibTeX XMLCite \textit{E. H. Quenjel} et al., Calcolo 57, No. 2, Paper No. 19, 38 p. (2020; Zbl 1442.65203) Full Text: DOI HAL
You, Xiong; Zhang, Ruqiang; Huang, Ting; Fang, Yonglei Symmetric collocation ERKN methods for general second-order oscillators. (English) Zbl 1431.65103 Calcolo 56, No. 4, Paper No. 52, 22 p. (2019). MSC: 65L05 65L06 65L12 PDFBibTeX XMLCite \textit{X. You} et al., Calcolo 56, No. 4, Paper No. 52, 22 p. (2019; Zbl 1431.65103) Full Text: DOI
Berthon, Christophe; Bessemoulin-Chatard, Marianne; Crestetto, Anaïs; Foucher, Françoise A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem. (English) Zbl 1428.65058 Calcolo 56, No. 3, Paper No. 28, 32 p. (2019). MSC: 65N06 35L65 35L67 65L12 65M06 PDFBibTeX XMLCite \textit{C. Berthon} et al., Calcolo 56, No. 3, Paper No. 28, 32 p. (2019; Zbl 1428.65058) Full Text: DOI
Di Pietro, Daniele A.; Droniou, Jérôme A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. (English) Zbl 1459.65215 Calcolo 55, No. 3, Paper No. 40, 39 p. (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 65N30 65J10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Calcolo 55, No. 3, Paper No. 40, 39 p. (2018; Zbl 1459.65215) Full Text: DOI arXiv
Pathan, Mahabub Basha; Vembu, Shanthi A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms. (English) Zbl 1380.65132 Calcolo 54, No. 3, 1027-1053 (2017). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 65L11 65L12 34E15 65L50 65L70 65L20 34B15 PDFBibTeX XMLCite \textit{M. B. Pathan} and \textit{S. Vembu}, Calcolo 54, No. 3, 1027--1053 (2017; Zbl 1380.65132) Full Text: DOI
Aminikhah, Hossein; Alavi, Javad B-spline collocation and quasi-interpolation methods for boundary layer flow and convection heat transfer over a flat plate. (English) Zbl 1369.41007 Calcolo 54, No. 1, 299-317 (2017). MSC: 41A15 65L12 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{J. Alavi}, Calcolo 54, No. 1, 299--317 (2017; Zbl 1369.41007) Full Text: DOI
Temimi, Helmi; Ben-Romdhane, Mohamed; Ansari, Ali R.; Shishkin, Grigorii I. Finite difference numerical solution of Troesch’s problem on a piecewise uniform Shishkin mesh. (English) Zbl 1369.65093 Calcolo 54, No. 1, 225-242 (2017). MSC: 65L10 65L11 34E15 34B15 65L12 65L70 PDFBibTeX XMLCite \textit{H. Temimi} et al., Calcolo 54, No. 1, 225--242 (2017; Zbl 1369.65093) Full Text: DOI
Akhmouch, M.; Benzakour Amine, M. A time semi-exponentially fitted scheme for chemotaxis-growth models. (English) Zbl 1365.65201 Calcolo 54, No. 2, 609-641 (2017). MSC: 65M08 65M12 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Akhmouch} and \textit{M. Benzakour Amine}, Calcolo 54, No. 2, 609--641 (2017; Zbl 1365.65201) Full Text: DOI
Bousquet, Pierre; Boyer, Franck; Nabet, Flore On a functional inequality arising in the analysis of finite-volume methods. (English) Zbl 1353.35019 Calcolo 53, No. 3, 363-397 (2016). MSC: 35A23 65M08 PDFBibTeX XMLCite \textit{P. Bousquet} et al., Calcolo 53, No. 3, 363--397 (2016; Zbl 1353.35019) Full Text: DOI HAL
Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. (English) Zbl 1310.76105 Calcolo 52, No. 1, 69-107 (2015). MSC: 76M12 65M08 65N08 76D05 PDFBibTeX XMLCite \textit{E. Chénier} et al., Calcolo 52, No. 1, 69--107 (2015; Zbl 1310.76105) Full Text: DOI
Roggensack, Arne A kinetic scheme for the one-dimensional open channel flow equations with applications on networks. (English) Zbl 1277.76054 Calcolo 50, No. 4, 255-282 (2013). MSC: 76M12 76B15 65M08 35L60 PDFBibTeX XMLCite \textit{A. Roggensack}, Calcolo 50, No. 4, 255--282 (2013; Zbl 1277.76054) Full Text: DOI
Katsaounis, Theodoros; Simeoni, Chiara Three-points interfacial quadrature for geometrical source terms on nonuniform grids. (English) Zbl 1262.65113 Calcolo 49, No. 3, 149-176 (2012). Reviewer: Manuel Calvo (Zaragoza) MSC: 65M08 65M15 35K55 65M12 PDFBibTeX XMLCite \textit{T. Katsaounis} and \textit{C. Simeoni}, Calcolo 49, No. 3, 149--176 (2012; Zbl 1262.65113) Full Text: DOI Link
Gallouët, T.; Herbin, R.; Latché, J.-C. W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. (English) Zbl 1248.76109 Calcolo 49, No. 1, 63-71 (2012). MSC: 76M12 65M12 76D07 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Calcolo 49, No. 1, 63--71 (2012; Zbl 1248.76109) Full Text: DOI
Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis Linearly implicit schemes for a class of dispersive-dissipative systems. (English) Zbl 1223.65050 Calcolo 48, No. 2, 145-172 (2011). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L05 65L06 65L12 65L70 34A34 65M06 65M15 35Q35 PDFBibTeX XMLCite \textit{G. Akrivis} and \textit{Y.-S. Smyrlis}, Calcolo 48, No. 2, 145--172 (2011; Zbl 1223.65050) Full Text: DOI
Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. (English) Zbl 1137.76062 Calcolo 44, No. 4, 219-234 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 76S05 76D07 35Q30 65M12 65M06 76M12 PDFBibTeX XMLCite \textit{R. Eymard} et al., Calcolo 44, No. 4, 219--234 (2007; Zbl 1137.76062) Full Text: DOI HAL
Fortin, M.; Mounim, Serghini A. Mixed and hybrid finite element methods for convection-diffusion equations and their relationships with finite volume. (English) Zbl 1108.65116 Calcolo 42, No. 1, 1-30 (2005). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{M. Fortin} and \textit{S. A. Mounim}, Calcolo 42, No. 1, 1--30 (2005; Zbl 1108.65116) Full Text: DOI
Gallouët, T.; Hérard, J.-M.; Seguin, N. On the use of symmetrizing variables for vacuums. (English) Zbl 1072.76042 Calcolo 40, No. 3, 163-194 (2003). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Calcolo 40, No. 3, 163--194 (2003; Zbl 1072.76042) Full Text: DOI
Perthame, B.; Simeoni, C. A kinetic scheme for the Saint-Venant system with a source term. (English) Zbl 1008.65066 Calcolo 38, No. 4, 201-231 (2001). Reviewer: Violeta Kostova (Rousse) MSC: 65M12 65M15 76M12 76M20 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{C. Simeoni}, Calcolo 38, No. 4, 201--231 (2001; Zbl 1008.65066) Full Text: DOI
Mazzia, F.; Trigiante, D. Numerical solution of singular perturbation problems. (English) Zbl 0819.65113 Calcolo 30, No. 4, 355-369 (1993). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 65L12 65L50 34B05 34E15 PDFBibTeX XMLCite \textit{F. Mazzia} and \textit{D. Trigiante}, Calcolo 30, No. 4, 355--369 (1993; Zbl 0819.65113) Full Text: DOI
Stojanović, M. A uniformly accurate spline collocation method for a singular perturbation problem. (English) Zbl 0738.65071 Calcolo 27, No. 1-2, 81-88 (1990). Reviewer: H.Ade (Mainz) MSC: 65L10 65L12 65L60 34B05 34E15 PDFBibTeX XMLCite \textit{M. Stojanović}, Calcolo 27, No. 1--2, 81--88 (1990; Zbl 0738.65071) Full Text: DOI
Lerda, F. Numerical treatment on digital computers for boundary value problems in ordinary differential equations of the type \(y''=f(x,y,y')\). (English) Zbl 0215.27601 Calcolo 7, 339-377 (1971). MSC: 65L10 65L12 65H05 PDFBibTeX XMLCite \textit{F. Lerda}, Calcolo 7, 339--377 (1971; Zbl 0215.27601) Full Text: DOI