Clain, Stéphane; Pereira, Rui M. S.; Pereira, Paulo A.; Lopes, Diogo Structural schemes for one dimension stationary equations. (English) Zbl 07736227 Appl. Math. Comput. 457, Article ID 128207, 23 p. (2023). MSC: 65Mxx 65Nxx 65Lxx PDFBibTeX XMLCite \textit{S. Clain} et al., Appl. Math. Comput. 457, Article ID 128207, 23 p. (2023; Zbl 07736227) Full Text: DOI
Poveda, Leonardo A.; Peixoto, Pedro On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere. (English) Zbl 07713013 Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N50 65N15 65N12 58J32 35J05 35J08 35B20 35B65 35R01 PDFBibTeX XMLCite \textit{L. A. Poveda} and \textit{P. Peixoto}, Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023; Zbl 07713013) Full Text: DOI arXiv
Jha, Navnit; Singh, Bhagat Fourth-order compact scheme based on quasi-variable mesh for three-dimensional mildly nonlinear stationary convection-diffusion equations. (English) Zbl 07778272 Numer. Methods Partial Differ. Equations 38, No. 4, 803-829 (2022). MSC: 65N06 65N50 65N12 65N15 65F05 35J60 35J05 35Q53 PDFBibTeX XMLCite \textit{N. Jha} and \textit{B. Singh}, Numer. Methods Partial Differ. Equations 38, No. 4, 803--829 (2022; Zbl 07778272) Full Text: DOI
Jha, N.; Wagley, M. Numerical algorithm for coupled viscous Burger’s equation using quasi-variable meshes compact operators. (English) Zbl 1473.65199 Azerb. J. Math., Spec. Iss., 145-156 (2021). MSC: 65M60 65M12 65M06 PDFBibTeX XMLCite \textit{N. Jha} and \textit{M. Wagley}, Azerb. J. Math., 145--156 (2021; Zbl 1473.65199) Full Text: Link
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai High order compact block-centered finite difference schemes for elliptic and parabolic problems. (English) Zbl 1476.65192 J. Sci. Comput. 87, No. 3, Paper No. 86, 26 p. (2021). MSC: 65M06 65M12 65M15 35J15 35K10 PDFBibTeX XMLCite \textit{Y. Shi} et al., J. Sci. Comput. 87, No. 3, Paper No. 86, 26 p. (2021; Zbl 1476.65192) Full Text: DOI
Liska, Richard; Váchal, Pavel; Wendroff, Burton Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the memory of Blair Swartz (1932–2019). (English) Zbl 1465.76069 Appl. Numer. Math. 163, 167-181 (2021). MSC: 76M20 76N15 65M15 PDFBibTeX XMLCite \textit{R. Liska} et al., Appl. Numer. Math. 163, 167--181 (2021; Zbl 1465.76069) Full Text: DOI
Jha, Navnit; Wagley, Madhav A family of quasi-variable meshes high-resolution compact operator scheme for Burger’s-Huxley, and Burger’s-Fisher equation quasi-variable meshes compact operator scheme for Burger’s type PDEs. (English) Zbl 1496.65117 Math. Appl. Sci. Eng. 1, No. 4, 286-308 (2020). MSC: 65M06 65M60 65M12 PDFBibTeX XMLCite \textit{N. Jha} and \textit{M. Wagley}, Math. Appl. Sci. Eng. 1, No. 4, 286--308 (2020; Zbl 1496.65117) Full Text: DOI
Tong, Oisin; Katz, Aaron On representing complex configurations as asymptotic geometry. (English) Zbl 1446.76046 Appl. Math. Modelling 43, 33-44 (2017). MSC: 76-10 65M06 PDFBibTeX XMLCite \textit{O. Tong} and \textit{A. Katz}, Appl. Math. Modelling 43, 33--44 (2017; Zbl 1446.76046) Full Text: DOI
Jha, Navnit; Kumar, Neelesh A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems. (English) Zbl 1422.65316 Adv. Difference Equ. 2017, Paper No. 64, 13 p. (2017). MSC: 65N06 35J57 65N12 PDFBibTeX XMLCite \textit{N. Jha} and \textit{N. Kumar}, Adv. Difference Equ. 2017, Paper No. 64, 13 p. (2017; Zbl 1422.65316) Full Text: DOI
Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun Analytical and variational numerical methods for unstable miscible displacement flows in porous media. (English) Zbl 1375.76188 J. Comput. Phys. 335, 444-496 (2017). MSC: 76S05 76M10 65M60 76M30 76-02 PDFBibTeX XMLCite \textit{G. Scovazzi} et al., J. Comput. Phys. 335, 444--496 (2017; Zbl 1375.76188) Full Text: DOI
Ditkowski, A. High order finite difference schemes for the heat equation whose convergence rates are higher than their truncation errors. (English) Zbl 1352.65233 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 167-178 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 65M06 65M20 35K05 65M12 65M15 PDFBibTeX XMLCite \textit{A. Ditkowski}, Lect. Notes Comput. Sci. Eng. 106, 167--178 (2015; Zbl 1352.65233) Full Text: DOI arXiv
Su, Xinrong; Sasaki, Daisuke; Nakahashi, Kazuhiro Cartesian mesh with a novel hybrid WENO/meshless method for turbulent flow calculations. (English) Zbl 1290.76049 Comput. Fluids 84, 69-86 (2013). MSC: 76F65 76M20 PDFBibTeX XMLCite \textit{X. Su} et al., Comput. Fluids 84, 69--86 (2013; Zbl 1290.76049) Full Text: DOI
Gibou, Frédéric; Min, Chohong; Fedkiw, Ron High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. (English) Zbl 1263.65093 J. Sci. Comput. 54, No. 2-3, 369-413 (2013). MSC: 65M50 35J05 35K05 80A22 65N50 35R35 65M06 PDFBibTeX XMLCite \textit{F. Gibou} et al., J. Sci. Comput. 54, No. 2--3, 369--413 (2013; Zbl 1263.65093) Full Text: DOI
Ferreira, J. A.; Pinto, L.; Romanazzi, G. Supraconvergence and supercloseness in Volterra equations. (English) Zbl 1254.65131 Appl. Numer. Math. 62, No. 12, 1718-1739 (2012). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 PDFBibTeX XMLCite \textit{J. A. Ferreira} et al., Appl. Numer. Math. 62, No. 12, 1718--1739 (2012; Zbl 1254.65131) Full Text: DOI
Kopteva, Natalia; Pickett, Maria A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1238.65117 Math. Comput. 81, No. 277, 81-105 (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N55 65N06 65N30 65N15 65N50 35J61 65N12 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{M. Pickett}, Math. Comput. 81, No. 277, 81--105 (2012; Zbl 1238.65117) Full Text: DOI
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P. An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws. (English) Zbl 1243.65110 Appl. Numer. Math. 61, No. 11, 1114-1131 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{D. Bouche} et al., Appl. Numer. Math. 61, No. 11, 1114--1131 (2011; Zbl 1243.65110) Full Text: DOI
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P. Error estimate for the upwind finite volume method for the nonlinear scalar conservation law. (English) Zbl 1227.65078 J. Comput. Appl. Math. 235, No. 18, 5394-5410 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65M15 65M08 65M12 35L65 PDFBibTeX XMLCite \textit{D. Bouche} et al., J. Comput. Appl. Math. 235, No. 18, 5394--5410 (2011; Zbl 1227.65078) Full Text: DOI
Simeoni, Chiara Remarks on the consistency of upwind source at interface schemes on nonuniform grids. (English) Zbl 1221.65239 J. Sci. Comput. 48, No. 1-3, 333-338 (2011). MSC: 65M12 PDFBibTeX XMLCite \textit{C. Simeoni}, J. Sci. Comput. 48, No. 1--3, 333--338 (2011; Zbl 1221.65239) Full Text: DOI HAL
Kadalbajoo, Mohan K.; Arora, Puneet; Gupta, Vikas Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers. (English) Zbl 1217.65156 Comput. Math. Appl. 61, No. 6, 1595-1607 (2011). MSC: 65L60 65L11 65L20 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} et al., Comput. Math. Appl. 61, No. 6, 1595--1607 (2011; Zbl 1217.65156) Full Text: DOI
Barbeiro, S.; Ferreira, J. A.; Pinto, L. \(H^{1}\)-second order convergent estimates for non-Fickian models. (English) Zbl 1209.65141 Appl. Numer. Math. 61, No. 2, 201-215 (2011). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{S. Barbeiro} et al., Appl. Numer. Math. 61, No. 2, 201--215 (2011; Zbl 1209.65141) Full Text: DOI
Diskin, Boris; Thomas, James L. Notes on accuracy of finite-volume discretization schemes on irregular grids. (English) Zbl 1404.65220 Appl. Numer. Math. 60, No. 3, 224-226 (2010). MSC: 65N08 65N12 65N15 PDFBibTeX XMLCite \textit{B. Diskin} and \textit{J. L. Thomas}, Appl. Numer. Math. 60, No. 3, 224--226 (2010; Zbl 1404.65220) Full Text: DOI Link
Francois, Marianne M.; Swartz, Blair K. Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids. (English) Zbl 1182.65040 J. Comput. Phys. 229, No. 3, 527-540 (2010). MSC: 65D25 PDFBibTeX XMLCite \textit{M. M. Francois} and \textit{B. K. Swartz}, J. Comput. Phys. 229, No. 3, 527--540 (2010; Zbl 1182.65040) Full Text: DOI
Wan, Zhengsu; Chen, Guangnan A second order difference scheme with nonuniform rectangular meshes for nonlinear parabolic system. (English) Zbl 1177.65135 Acta Math. Appl. Sin., Engl. Ser. 25, No. 1, 159-166 (2009). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{Z. Wan} and \textit{G. Chen}, Acta Math. Appl. Sin., Engl. Ser. 25, No. 1, 159--166 (2009; Zbl 1177.65135) Full Text: DOI
Barbeiro, S. Supraconvergent cell-centered scheme for two dimensional elliptic problems. (English) Zbl 1202.65145 Appl. Numer. Math. 59, No. 1, 56-72 (2009). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N12 65N06 65N15 35J25 PDFBibTeX XMLCite \textit{S. Barbeiro}, Appl. Numer. Math. 59, No. 1, 56--72 (2009; Zbl 1202.65145) Full Text: DOI Link
Veldman, Arthur E. P.; Lam, Ka-Wing Symmetry-preserving upwind discretization of convection on non-uniform grids. (English) Zbl 1153.65086 Appl. Numer. Math. 58, No. 12, 1881-1891 (2008). MSC: 65M06 35K15 65M20 65M15 65M50 PDFBibTeX XMLCite \textit{A. E. P. Veldman} and \textit{K.-W. Lam}, Appl. Numer. Math. 58, No. 12, 1881--1891 (2008; Zbl 1153.65086) Full Text: DOI Link
Bieniasz, L. K. A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids. (English) Zbl 1134.65046 Computing 81, No. 1, 77-89 (2007). MSC: 65L10 65L12 34B15 34E15 65L50 PDFBibTeX XMLCite \textit{L. K. Bieniasz}, Computing 81, No. 1, 77--89 (2007; Zbl 1134.65046) Full Text: DOI
Chen, Han; Min, Chohong; Gibou, Frédéric A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. (English) Zbl 1120.65113 J. Sci. Comput. 31, No. 1-2, 19-60 (2007). MSC: 65N06 35J05 65M06 35K05 65N12 65M12 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Sci. Comput. 31, No. 1--2, 19--60 (2007; Zbl 1120.65113) Full Text: DOI
Kadalbajoo, Mohan K.; Ramesh, V. P. Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy. (English) Zbl 1120.65089 Appl. Math. Comput. 188, No. 2, 1816-1831 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 34K28 34K10 65L70 65L50 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{V. P. Ramesh}, Appl. Math. Comput. 188, No. 2, 1816--1831 (2007; Zbl 1120.65089) Full Text: DOI
Kadalbajoo, Mohan K.; Ramesh, V. P. Hybrid method for numerical solution of singularly perturbed delay differential equations. (English) Zbl 1120.65088 Appl. Math. Comput. 187, No. 2, 797-814 (2007). Reviewer: Fuhua Ling (Milpitas) MSC: 65L10 34K10 65L12 65L50 34K28 34K26 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{V. P. Ramesh}, Appl. Math. Comput. 187, No. 2, 797--814 (2007; Zbl 1120.65088) Full Text: DOI
Min, Chohong; Gibou, Frédéric; Ceniceros, Hector D. A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. (English) Zbl 1106.65093 J. Comput. Phys. 218, No. 1, 123-140 (2006). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N06 65N12 65N50 35J05 PDFBibTeX XMLCite \textit{C. Min} et al., J. Comput. Phys. 218, No. 1, 123--140 (2006; Zbl 1106.65093) Full Text: DOI
Yamamoto, Tetsuro; Oishi, Shin’ichi A mathematical theory for numerical treatment of nonlinear two-point boundary value problems. (English) Zbl 1105.34009 Japan J. Ind. Appl. Math. 23, No. 1, 31-62 (2006). Reviewer: Nickolai Kosmatov (Little Rock) MSC: 34B15 39A12 65L10 PDFBibTeX XMLCite \textit{T. Yamamoto} and \textit{S. Oishi}, Japan J. Ind. Appl. Math. 23, No. 1, 31--62 (2006; Zbl 1105.34009) Full Text: DOI
Kopteva, Natalia; Madden, Niall; Stynes, Martin Grid equidistribution for reaction-diffusion problems in one dimension. (English) Zbl 1089.65077 Numer. Algorithms 40, No. 3, 305-322 (2005). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L50 65L10 65L12 65L70 34B05 34E15 65L20 PDFBibTeX XMLCite \textit{N. Kopteva} et al., Numer. Algorithms 40, No. 3, 305--322 (2005; Zbl 1089.65077) Full Text: DOI
Zhang, Mengping; Shu, Chi-Wang An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods. (English) Zbl 1138.76391 Comput. Fluids 34, No. 4-5, 581-592 (2005). MSC: 76M12 65M70 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{C.-W. Shu}, Comput. Fluids 34, No. 4--5, 581--592 (2005; Zbl 1138.76391) Full Text: DOI
Sanmiguel-Rojas, E.; Ortega-Casanova, J.; Del Pino, C.; Fernandez-Feria, R. A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries. (English) Zbl 1143.76486 J. Comput. Phys. 204, No. 1, 302-318 (2005). MSC: 76M10 PDFBibTeX XMLCite \textit{E. Sanmiguel-Rojas} et al., J. Comput. Phys. 204, No. 1, 302--318 (2005; Zbl 1143.76486) Full Text: DOI
Barbeiro, S.; Ferreira, J. A. A superconvergent linear FE approximation for the solution of an elliptic system of PDEs. (English) Zbl 1069.65112 J. Comput. Appl. Math. 177, No. 2, 287-300 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{S. Barbeiro} and \textit{J. A. Ferreira}, J. Comput. Appl. Math. 177, No. 2, 287--300 (2005; Zbl 1069.65112) Full Text: DOI
Gibou, Frédéric; Fedkiw, Ronald A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. (English) Zbl 1061.65079 J. Comput. Phys. 202, No. 2, 577-601 (2005). MSC: 65M06 65N06 80A22 80M20 35J05 35K05 35R35 PDFBibTeX XMLCite \textit{F. Gibou} and \textit{R. Fedkiw}, J. Comput. Phys. 202, No. 2, 577--601 (2005; Zbl 1061.65079) Full Text: DOI
Hyman, J. M.; Steinberg, S. The convergence of mimetic discretization for rough grids. (English) Zbl 1070.65114 Comput. Math. Appl. 47, No. 10-11, 1565-1610 (2004). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65N12 65N06 35J25 65N15 PDFBibTeX XMLCite \textit{J. M. Hyman} and \textit{S. Steinberg}, Comput. Math. Appl. 47, No. 10--11, 1565--1610 (2004; Zbl 1070.65114) Full Text: DOI
Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M. Overview and recent advances in natural neighbour Galerkin methods. (English) Zbl 1050.74001 Arch. Comput. Methods Eng. 10, No. 4, 307-384 (2003). MSC: 74-02 74S30 74S05 PDFBibTeX XMLCite \textit{E. Cueto} et al., Arch. Comput. Methods Eng. 10, No. 4, 307--384 (2003; Zbl 1050.74001) Full Text: DOI
Floater, Michael S. Error formulas for divided difference expansions and numerical differentiation. (English) Zbl 1016.41016 J. Approximation Theory 122, No. 1, 1-9 (2003). Reviewer: Eleonora Storozhenko (Odessa) MSC: 41A80 41-06 PDFBibTeX XMLCite \textit{M. S. Floater}, J. Approx. Theory 122, No. 1, 1--9 (2003; Zbl 1016.41016) Full Text: DOI
Barbeiro, S.; Ferreira, J. A. A nonstandard linear finite element method for a planar elasticity problem. (English) Zbl 0987.74062 Appl. Numer. Math. 37, No. 3, 331-340 (2001). MSC: 74S05 74B05 65N15 65N12 PDFBibTeX XMLCite \textit{S. Barbeiro} and \textit{J. A. Ferreira}, Appl. Numer. Math. 37, No. 3, 331--340 (2001; Zbl 0987.74062) Full Text: DOI
Jin, Jian-Ming; Zunoubi, Mohammad; Donepudi, Kalyan C.; Chew, Weng C. Frequency-domain and time-domain finite-element solution of Maxwell’s equations using spectral Lanczos decomposition method. (English) Zbl 1033.78520 Comput. Methods Appl. Mech. Eng. 169, No. 3-4, 279-296 (1999). MSC: 78M10 78A25 PDFBibTeX XMLCite \textit{J.-M. Jin} et al., Comput. Methods Appl. Mech. Eng. 169, No. 3--4, 279--296 (1999; Zbl 1033.78520) Full Text: DOI
Ferreira, J. A.; Grigorieff, R. D. On the supraconvergence of elliptic finite difference schemes. (English) Zbl 0929.65093 Appl. Numer. Math. 28, No. 2-4, 275-292 (1998). Reviewer: Emil Minchev (Sofia) MSC: 65N12 65N30 65N06 35J25 PDFBibTeX XMLCite \textit{J. A. Ferreira} and \textit{R. D. Grigorieff}, Appl. Numer. Math. 28, No. 2--4, 275--292 (1998; Zbl 0929.65093) Full Text: DOI
Arbogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan Enhanced cell-centered finite differences for elliptic equations on general geometry. (English) Zbl 0947.65114 SIAM J. Sci. Comput. 19, No. 2, 404-425 (1998). Reviewer: R.R.D.Lazarov (College Station) MSC: 65N06 35J25 65N50 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{T. Arbogast} et al., SIAM J. Sci. Comput. 19, No. 2, 404--425 (1998; Zbl 0947.65114) Full Text: DOI
Cockburn, Bernardo; Gremaud, Pierre-Alain A priori error estimates for numerical methods for scalar conservation laws. II: Flux-splitting monotone schemes on irregular Cartesian grids. (English) Zbl 0866.65061 Math. Comput. 66, No. 218, 547-572 (1997). MSC: 65M15 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{P.-A. Gremaud}, Math. Comput. 66, No. 218, 547--572 (1997; Zbl 0866.65061) Full Text: DOI
Cash, J. R. Runge-Kutta methods for the solution of stiff two-point boundary value problems. (English) Zbl 0867.65043 Appl. Numer. Math. 22, No. 1-3, 165-177 (1996). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 34E13 34E15 34B15 65L06 PDFBibTeX XMLCite \textit{J. R. Cash}, Appl. Numer. Math. 22, No. 1--3, 165--177 (1996; Zbl 0867.65043) Full Text: DOI
Pettigrew, M. F.; Rasmussen, H. A compact method for second-order boundary value problems on nonuniform grids. (English) Zbl 0858.65079 Comput. Math. Appl. 31, No. 9, 1-16 (1996). Reviewer: Z.Schneider (Bratislava) MSC: 65L10 65L12 65L50 34B05 34B15 35K55 65M20 PDFBibTeX XMLCite \textit{M. F. Pettigrew} and \textit{H. Rasmussen}, Comput. Math. Appl. 31, No. 9, 1--16 (1996; Zbl 0858.65079) Full Text: DOI
Ferreira, J. A. Supraconvergence of a class of moving grid methods for solving a nonlinear problem. (English) Zbl 0859.65093 Appl. Numer. Math. 21, No. 1, 43-56 (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 65M12 35K55 65L20 65M20 65M50 PDFBibTeX XMLCite \textit{J. A. Ferreira}, Appl. Numer. Math. 21, No. 1, 43--56 (1996; Zbl 0859.65093) Full Text: DOI
Edwards, Michael G. A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium. (English) Zbl 0888.76052 Comput. Methods Appl. Mech. Eng. 131, No. 3-4, 287-308 (1996). MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{M. G. Edwards}, Comput. Methods Appl. Mech. Eng. 131, No. 3--4, 287--308 (1996; Zbl 0888.76052) Full Text: DOI
Butcher, J. C.; Cash, J. R.; Moore, G.; Russell, R. D. Defect correction for two-point boundary value problems on nonequidistant meshes. (English) Zbl 0828.65102 Math. Comput. 64, No. 210, 629-648 (1995). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 65L12 65L50 34B15 PDFBibTeX XMLCite \textit{J. C. Butcher} et al., Math. Comput. 64, No. 210, 629--648 (1995; Zbl 0828.65102) Full Text: DOI
Křížek, Michal Superconvergence phenomena in the finite element method. (English) Zbl 0820.65071 Comput. Methods Appl. Mech. Eng. 116, 157-163 (1994). MSC: 65N30 65N12 65-02 35J25 PDFBibTeX XMLCite \textit{M. Křížek}, Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 157--163 (1994; Zbl 0820.65071) Full Text: DOI
Mackenzie, J. A.; Morton, K. W. Finite volume solutions of convection-diffusion test problems. (English) Zbl 0797.76072 Math. Comput. 60, No. 201, 189-220 (1993). MSC: 76M25 76R05 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{K. W. Morton}, Math. Comput. 60, No. 201, 189--220 (1993; Zbl 0797.76072) Full Text: DOI
Ferreira, J. A. The second-order initial/boundary value problem: supraconvergence of regridding methods. (English) Zbl 0789.65074 Appl. Numer. Math. 13, No. 1-3, 69-81 (1993). Reviewer: R.Gorenflo (Berlin) MSC: 65M20 65M50 65M12 35K15 PDFBibTeX XMLCite \textit{J. A. Ferreira}, Appl. Numer. Math. 13, No. 1--3, 69--81 (1993; Zbl 0789.65074) Full Text: DOI
Ferreira, J. A.; De Oliveira, Paula Convergence properties of numerical discretizations and regridding methods. (English) Zbl 0774.65065 J. Comput. Appl. Math. 45, No. 3, 321-330 (1993). Reviewer: H.Marcinkowska (Wrocław) MSC: 65L70 65L50 65L12 65L05 65L10 PDFBibTeX XMLCite \textit{J. A. Ferreira} and \textit{P. De Oliveira}, J. Comput. Appl. Math. 45, No. 3, 321--330 (1993; Zbl 0774.65065) Full Text: DOI
Hyman, James M.; Knapp, Robert J.; Scovel, James C. High order finite volume approximations of differential operators on nonuniform grids. (English) Zbl 0790.65089 Physica D 60, No. 1-4, 112-138 (1992). Reviewer: R.Anguelov (Welkom) MSC: 65M60 65D25 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{J. M. Hyman} et al., Physica D 60, No. 1--4, 112--138 (1992; Zbl 0790.65089) Full Text: DOI
Cai, Zhiqiang On the finite volume element method. (English) Zbl 0731.65093 Numer. Math. 58, No. 7, 713-735 (1991). Reviewer: J.R.Kuttler (Laurel) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Z. Cai}, Numer. Math. 58, No. 7, 713--735 (1991; Zbl 0731.65093) Full Text: DOI EuDML
Stys, Tadeusz; Stys, Krystyna O(h\({}^ 4)\) locally overconvergent semidiscrete scheme for the equation \(u_ t=u_{xx}+f(t,x,u)\). (English) Zbl 0721.65052 J. Comput. Appl. Math. 34, No. 2, 221-231 (1991). Reviewer: V.A.Kostova (Russe) MSC: 65M20 65M12 35K55 PDFBibTeX XMLCite \textit{T. Stys} and \textit{K. Stys}, J. Comput. Appl. Math. 34, No. 2, 221--231 (1991; Zbl 0721.65052) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. (English) Zbl 0721.65047 Computing 45, No. 3, 193-215 (1990). Reviewer: G.Hedstrom (Livermore) MSC: 65M06 65M50 65M12 35K15 65M15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Computing 45, No. 3, 193--215 (1990; Zbl 0721.65047) Full Text: DOI
Swartz, Blair Supplement to “The second-order sharpening of blurred smooth borders”. (English) Zbl 0667.65005 Math. Comput. 52, No. 186, S35-S36 (1989). Reviewer: V.Subba Rao MSC: 65D10 65D05 52A99 41A05 41A63 PDFBibTeX XMLCite \textit{B. Swartz}, Math. Comput. 52, No. 186, S35--S36 (1989; Zbl 0667.65005) Full Text: DOI
Swartz, Blair The second-order sharpening of blurred smooth borders. (English) Zbl 0667.65004 Math. Comput. 52, No. 186, 675-714 (1989). Reviewer: V.Subba Rao MSC: 65D10 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{B. Swartz}, Math. Comput. 52, No. 186, 675--714 (1989; Zbl 0667.65004) Full Text: DOI