Du, Shaohong; Lin, Runchang; Zhang, Zhimin Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems. (English) Zbl 1478.65120 Appl. Numer. Math. 168, 23-40 (2021). MSC: 65N30 65N50 65N15 35B25 PDFBibTeX XMLCite \textit{S. Du} et al., Appl. Numer. Math. 168, 23--40 (2021; Zbl 1478.65120) Full Text: DOI arXiv
Gharibi, Zeinab; Dehghan, Mehdi Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem. (English) Zbl 1459.65221 Appl. Numer. Math. 163, 303-316 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65M12 35B25 35A01 35A02 76U05 PDFBibTeX XMLCite \textit{Z. Gharibi} and \textit{M. Dehghan}, Appl. Numer. Math. 163, 303--316 (2021; Zbl 1459.65221) Full Text: DOI
Gracia, Jose Luis; O’Riordan, Eugene Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. (English) Zbl 1461.65227 Appl. Numer. Math. 162, 106-123 (2021). MSC: 65M06 65M15 35B25 76R50 65N06 PDFBibTeX XMLCite \textit{J. L. Gracia} and \textit{E. O'Riordan}, Appl. Numer. Math. 162, 106--123 (2021; Zbl 1461.65227) Full Text: DOI arXiv
Shi, Dongyang; Wu, Yanmi Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed bi-wave equation. (English) Zbl 1464.65185 Appl. Numer. Math. 161, 169-177 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 31A30 65N12 35B25 35J30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Appl. Numer. Math. 161, 169--177 (2021; Zbl 1464.65185) Full Text: DOI
Kumar, Devendra; Kumari, Parvin Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. (English) Zbl 1436.35028 Appl. Numer. Math. 153, 412-429 (2020). MSC: 35B25 65M12 35K57 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{P. Kumari}, Appl. Numer. Math. 153, 412--429 (2020; Zbl 1436.35028) Full Text: DOI
Calvo, M. P.; Sanz-Serna, J. M.; Zhu, Beibei High-order stroboscopic averaging methods for highly oscillatory delay problems. (English) Zbl 1445.65023 Appl. Numer. Math. 152, 466-479 (2020). Reviewer: Zhanyuan Hou (London) MSC: 65L05 65P10 34E13 34E20 34C10 34C29 34C15 PDFBibTeX XMLCite \textit{M. P. Calvo} et al., Appl. Numer. Math. 152, 466--479 (2020; Zbl 1445.65023) Full Text: DOI arXiv
Das, Pratibhamoy; Rana, Subrata; Vigo-Aguiar, Jesus Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature. (English) Zbl 1448.65075 Appl. Numer. Math. 148, 79-97 (2020). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 65D07 34B16 34D15 PDFBibTeX XMLCite \textit{P. Das} et al., Appl. Numer. Math. 148, 79--97 (2020; Zbl 1448.65075) Full Text: DOI
Yin, Yunhui; Zhu, Peng The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem. (English) Zbl 1456.65169 Appl. Numer. Math. 138, 19-29 (2019). MSC: 65N30 65N12 65N15 35B25 PDFBibTeX XMLCite \textit{Y. Yin} and \textit{P. Zhu}, Appl. Numer. Math. 138, 19--29 (2019; Zbl 1456.65169) Full Text: DOI
Rao, S. Chandra Sekhara; Chawla, Sheetal Numerical solution of singularly perturbed linear parabolic system with discontinuous source term. (English) Zbl 1382.65255 Appl. Numer. Math. 127, 249-265 (2018). MSC: 65M06 35K57 35B25 35R05 65M50 PDFBibTeX XMLCite \textit{S. C. S. Rao} and \textit{S. Chawla}, Appl. Numer. Math. 127, 249--265 (2018; Zbl 1382.65255) Full Text: DOI
Ai, Qing; Li, Hui-yuan; Wang, Zhong-qing Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems. (English) Zbl 1382.65424 Appl. Numer. Math. 127, 196-210 (2018). MSC: 65N35 35J25 35J05 35B25 65N15 PDFBibTeX XMLCite \textit{Q. Ai} et al., Appl. Numer. Math. 127, 196--210 (2018; Zbl 1382.65424) Full Text: DOI
Becher, Simon Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer. (English) Zbl 1377.65094 Appl. Numer. Math. 123, 121-136 (2018). MSC: 65L10 65L11 34B05 34E15 65L50 65L70 PDFBibTeX XMLCite \textit{S. Becher}, Appl. Numer. Math. 123, 121--136 (2018; Zbl 1377.65094) Full Text: DOI arXiv
Zhang, Jin; Liu, Xiaowei Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: vertex-cell interpolation. (English) Zbl 1377.65097 Appl. Numer. Math. 123, 88-98 (2018). MSC: 65L10 65L11 34B05 34E15 65L50 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Liu}, Appl. Numer. Math. 123, 88--98 (2018; Zbl 1377.65097) Full Text: DOI
Zarin, Helena Exponentially graded mesh for a singularly perturbed problem with two small parameters. (English) Zbl 1370.65037 Appl. Numer. Math. 120, 233-242 (2017). MSC: 65L10 65L11 34B05 65L50 34E15 65L60 65L20 PDFBibTeX XMLCite \textit{H. Zarin}, Appl. Numer. Math. 120, 233--242 (2017; Zbl 1370.65037) Full Text: DOI
Shao, Wenting; Wu, Xionghua; Wang, Cheng Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems. (English) Zbl 1367.65112 Appl. Numer. Math. 118, 19-32 (2017). MSC: 65L11 34B15 34E15 65L20 PDFBibTeX XMLCite \textit{W. Shao} et al., Appl. Numer. Math. 118, 19--32 (2017; Zbl 1367.65112) Full Text: DOI
Kamranian, Maryam; Dehghan, Mehdi; Tatari, Mehdi An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems. (English) Zbl 1353.65121 Appl. Numer. Math. 111, 181-196 (2017). MSC: 65N30 35J25 35B25 65N15 PDFBibTeX XMLCite \textit{M. Kamranian} et al., Appl. Numer. Math. 111, 181--196 (2017; Zbl 1353.65121) Full Text: DOI
Yang, Yubo; Zhu, Peng Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection-diffusion problems. (English) Zbl 1353.65126 Appl. Numer. Math. 111, 36-48 (2017). MSC: 65N30 35J25 35B25 65N12 65N15 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{P. Zhu}, Appl. Numer. Math. 111, 36--48 (2017; Zbl 1353.65126) Full Text: DOI
Franz, Sebastian Analysis of a family of continuous-discontinuous Galerkin FEM for convection-diffusion problems. (English) Zbl 1351.65089 Appl. Numer. Math. 110, 93-109 (2016). MSC: 65N30 35J25 35B25 65N12 PDFBibTeX XMLCite \textit{S. Franz}, Appl. Numer. Math. 110, 93--109 (2016; Zbl 1351.65089) Full Text: DOI
Panaseti, Pandelitsa; Zouvani, Antri; Madden, Niall; Xenophontos, Christos A \(C^{1}\)-conforming \(hp\) finite element method for fourth order singularly perturbed boundary value problems. (English) Zbl 1336.65124 Appl. Numer. Math. 104, 81-97 (2016). MSC: 65L60 34B05 34E15 65L11 65L50 65L20 PDFBibTeX XMLCite \textit{P. Panaseti} et al., Appl. Numer. Math. 104, 81--97 (2016; Zbl 1336.65124) Full Text: DOI
Roos, Hans-Goerg; Teofanov, Ljiljana; Uzelac, Zorica Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem. (English) Zbl 1321.65122 Appl. Numer. Math. 96, 108-117 (2015). MSC: 65L11 65L10 34B15 34E15 65L20 65L50 65L12 PDFBibTeX XMLCite \textit{H.-G. Roos} et al., Appl. Numer. Math. 96, 108--117 (2015; Zbl 1321.65122) Full Text: DOI
Zheng, Quan; Li, Xuezheng; Gao, Yue Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs. (English) Zbl 1310.65085 Appl. Numer. Math. 91, 46-59 (2015). MSC: 65L10 65L11 34B15 34E15 65L50 65L20 PDFBibTeX XMLCite \textit{Q. Zheng} et al., Appl. Numer. Math. 91, 46--59 (2015; Zbl 1310.65085) Full Text: DOI
Ávila, A. I.; Meister, A.; Steigemann, M. On numerical methods for nonlinear singularly perturbed Schrödinger problems. (English) Zbl 1310.65117 Appl. Numer. Math. 86, 22-42 (2014). MSC: 65M60 35Q55 35B25 PDFBibTeX XMLCite \textit{A. I. Ávila} et al., Appl. Numer. Math. 86, 22--42 (2014; Zbl 1310.65117) Full Text: DOI
Franz, Sebastian Superconvergence using pointwise interpolation in convection-diffusion problems. (English) Zbl 1288.65155 Appl. Numer. Math. 76, 132-144 (2014). MSC: 65N12 35J25 35B25 65N30 PDFBibTeX XMLCite \textit{S. Franz}, Appl. Numer. Math. 76, 132--144 (2014; Zbl 1288.65155) Full Text: DOI arXiv
Zhu, Peng; Xie, Shenglan Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type. (English) Zbl 1288.65156 Appl. Numer. Math. 76, 48-59 (2014). MSC: 65N12 35J25 35B25 65N30 65N50 PDFBibTeX XMLCite \textit{P. Zhu} and \textit{S. Xie}, Appl. Numer. Math. 76, 48--59 (2014; Zbl 1288.65156) Full Text: DOI
Weber, Steffen; Arnold, Martin; Valášek, Michael Quasistatic approximations for stiff second order differential equations. (English) Zbl 1251.65102 Appl. Numer. Math. 62, No. 10, 1579-1590 (2012). MSC: 65L05 65L04 65L11 34A34 34E15 70E60 PDFBibTeX XMLCite \textit{S. Weber} et al., Appl. Numer. Math. 62, No. 10, 1579--1590 (2012; Zbl 1251.65102) Full Text: DOI
Mustapha, Kassem The \(hp\)- and \(h\)-versions of the discontinuous and local discontinuous Galerkin methods for one-dimensional singularly perturbed models. (English) Zbl 1242.65147 Appl. Numer. Math. 61, No. 12, 1223-1236 (2011). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L11 34B15 65L60 34E15 65L20 65L50 PDFBibTeX XMLCite \textit{K. Mustapha}, Appl. Numer. Math. 61, No. 12, 1223--1236 (2011; Zbl 1242.65147) Full Text: DOI
Jentschura, Ulrich D.; Zinn-Justin, Jean Calculation of the characteristic functions of anharmonic oscillators. (English) Zbl 1203.65278 Appl. Numer. Math. 60, No. 12, 1332-1341 (2010). MSC: 65P10 81P68 81Q20 81S10 37M15 35Q40 PDFBibTeX XMLCite \textit{U. D. Jentschura} and \textit{J. Zinn-Justin}, Appl. Numer. Math. 60, No. 12, 1332--1341 (2010; Zbl 1203.65278) Full Text: DOI arXiv
Rao, S. Chandra Sekhara; Kumar, Mukesh Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems. (English) Zbl 1157.65047 Appl. Numer. Math. 58, No. 10, 1572-1581 (2008). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 65L20 65L60 34B05 34E15 PDFBibTeX XMLCite \textit{S. C. S. Rao} and \textit{M. Kumar}, Appl. Numer. Math. 58, No. 10, 1572--1581 (2008; Zbl 1157.65047) Full Text: DOI
Durán, Ricardo G.; Lombardi, Ariel L. Finite element approximation of convection diffusion problems using graded meshes. (English) Zbl 1104.65109 Appl. Numer. Math. 56, No. 10-11, 1314-1325 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J25 65N50 35B25 65N15 PDFBibTeX XMLCite \textit{R. G. Durán} and \textit{A. L. Lombardi}, Appl. Numer. Math. 56, No. 10--11, 1314--1325 (2006; Zbl 1104.65109) Full Text: DOI
Gracia, J. L.; O’Riordan, E.; Pickett, M. L. A parameter robust second order numerical method for a singularly perturbed two-parameter problem. (English) Zbl 1095.65067 Appl. Numer. Math. 56, No. 7, 962-980 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65L10 65L12 65L20 34B05 34E15 65L70 PDFBibTeX XMLCite \textit{J. L. Gracia} et al., Appl. Numer. Math. 56, No. 7, 962--980 (2006; Zbl 1095.65067) Full Text: DOI
Jung, Chang-Yeol Numerical approximation of convection-diffusion equations in a channel using boundary layer elements. (English) Zbl 1098.65112 Appl. Numer. Math. 56, No. 6, 756-777 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N30 65N15 35B25 35J25 PDFBibTeX XMLCite \textit{C.-Y. Jung}, Appl. Numer. Math. 56, No. 6, 756--777 (2006; Zbl 1098.65112) Full Text: DOI
Schmitt, B. A.; Weiner, R.; Erdmann, K. Implicit parallel peer methods for stiff initial value problems. (English) Zbl 1072.65108 Appl. Numer. Math. 53, No. 2-4, 457-470 (2005). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65L06 65Y05 65L05 65L20 34A34 34E15 PDFBibTeX XMLCite \textit{B. A. Schmitt} et al., Appl. Numer. Math. 53, No. 2--4, 457--470 (2005; Zbl 1072.65108) Full Text: DOI
Knaub, Karl R.; O’Malley, Robert E. jun.; Williams, David B. The slow motion of shock layers for advection-diffusion-reaction equations. (English) Zbl 1064.76062 Appl. Numer. Math. 52, No. 2-3, 299-310 (2005). MSC: 76L05 76R99 76V05 PDFBibTeX XMLCite \textit{K. R. Knaub} et al., Appl. Numer. Math. 52, No. 2--3, 299--310 (2005; Zbl 1064.76062) Full Text: DOI
Kopteva, Natalia; Stynes, Martin Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions. (English) Zbl 1069.65087 Appl. Numer. Math. 51, No. 2-3, 273-288 (2004). Reviewer: Eugene L. Allgower (Fort Collins) MSC: 65L10 34B15 34E15 65L50 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{M. Stynes}, Appl. Numer. Math. 51, No. 2--3, 273--288 (2004; Zbl 1069.65087) Full Text: DOI
Bellew, S.; O’Riordan, E. A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations. (English) Zbl 1059.65063 Appl. Numer. Math. 51, No. 2-3, 171-186 (2004). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34B05 34E15 65L12 65L50 65L70 PDFBibTeX XMLCite \textit{S. Bellew} and \textit{E. O'Riordan}, Appl. Numer. Math. 51, No. 2--3, 171--186 (2004; Zbl 1059.65063) Full Text: DOI
Manickam, S. A. V.; Radha, Ch.; Sharma, V. D. Far field behaviour of waves in a vibrationally relaxing gas. (English) Zbl 1059.76063 Appl. Numer. Math. 45, No. 2-3, 293-307 (2003). MSC: 76N15 76M45 PDFBibTeX XMLCite \textit{S. A. V. Manickam} et al., Appl. Numer. Math. 45, No. 2--3, 293--307 (2003; Zbl 1059.76063) Full Text: DOI
Zhou, X.; Hon, Y. C.; Li, Jichun Overlapping domain decomposition method by radial basis functions. (English) Zbl 1013.65134 Appl. Numer. Math. 44, No. 1-2, 241-255 (2003). MSC: 65N55 65F10 65Y05 65N35 35J25 35B25 PDFBibTeX XMLCite \textit{X. Zhou} et al., Appl. Numer. Math. 44, No. 1--2, 241--255 (2003; Zbl 1013.65134) Full Text: DOI
Kennedy, Christopher A.; Carpenter, Mark H. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. (English) Zbl 1013.65103 Appl. Numer. Math. 44, No. 1-2, 139-181 (2003). MSC: 65M20 65L06 65M12 65M15 35B25 35K57 PDFBibTeX XMLCite \textit{C. A. Kennedy} and \textit{M. H. Carpenter}, Appl. Numer. Math. 44, No. 1--2, 139--181 (2003; Zbl 1013.65103) Full Text: DOI
Iserles, Arieh Think globally, act locally: Solving highly-oscillatory ordinary differential equations. (English) Zbl 1016.65050 Appl. Numer. Math. 43, No. 1-2, 145-160 (2002). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 34A34 34E20 34C10 65L05 34A26 65Y20 PDFBibTeX XMLCite \textit{A. Iserles}, Appl. Numer. Math. 43, No. 1--2, 145--160 (2002; Zbl 1016.65050) Full Text: DOI
MacMullen, H.; O’Riordan, E.; Shishkin, G. I. The convergence of classical Schwarz methods applied to convection–diffusion problems with regular boundary layers. (English) Zbl 1016.65075 Appl. Numer. Math. 43, No. 3, 297-313 (2002). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N12 65F10 65N30 35B25 65N55 35J25 65N50 PDFBibTeX XMLCite \textit{H. MacMullen} et al., Appl. Numer. Math. 43, No. 3, 297--313 (2002; Zbl 1016.65075) Full Text: DOI
Djouad, Rafik; Sportisse, Bruno Partitioning techniques and lumping computation for reducing chemical kinetics. APLA: an automatic partitioning and lumping algorithm. (English) Zbl 1015.92051 Appl. Numer. Math. 43, No. 4, 383-398 (2002). MSC: 92D40 92E20 34C60 86A10 34D15 PDFBibTeX XMLCite \textit{R. Djouad} and \textit{B. Sportisse}, Appl. Numer. Math. 43, No. 4, 383--398 (2002; Zbl 1015.92051) Full Text: DOI
Farrell, P. A.; Hegarty, A. F.; Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I. An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl’s problem at high Reynolds number. (English) Zbl 1113.76440 Appl. Numer. Math. 40, No. 1-2, 143-149 (2002). MSC: 76M45 76M25 65N15 PDFBibTeX XMLCite \textit{P. A. Farrell} et al., Appl. Numer. Math. 40, No. 1--2, 143--149 (2002; Zbl 1113.76440) Full Text: DOI
Beckett, G.; Mackenzie, J. A. Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution. (English) Zbl 0988.65053 Appl. Numer. Math. 39, No. 1, 31-45 (2001). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L10 65L60 65L20 65L50 34B05 34E15 PDFBibTeX XMLCite \textit{G. Beckett} and \textit{J. A. Mackenzie}, Appl. Numer. Math. 39, No. 1, 31--45 (2001; Zbl 0988.65053) Full Text: DOI
Liu, Wenbin; Tang, Tao Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems. (English) Zbl 1023.65115 Appl. Numer. Math. 38, No. 3, 315-345 (2001). Reviewer: Raico R.D.Lazarov (College Station) MSC: 65N15 65N35 35B25 35J25 PDFBibTeX XMLCite \textit{W. Liu} and \textit{T. Tang}, Appl. Numer. Math. 38, No. 3, 315--345 (2001; Zbl 1023.65115) Full Text: DOI
Linß, Torsten Sufficient conditions for uniform convergence on layer-adapted grids. (English) Zbl 0976.65084 Appl. Numer. Math. 37, No. 1-2, 241-255 (2001). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 35B25 65M50 65M06 35K55 PDFBibTeX XMLCite \textit{T. Linß}, Appl. Numer. Math. 37, No. 1--2, 241--255 (2001; Zbl 0976.65084) Full Text: DOI
Li, Jichun Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems. (English) Zbl 0976.65094 Appl. Numer. Math. 36, No. 2-3, 129-154 (2001). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N12 65N50 65N30 35B25 35J25 PDFBibTeX XMLCite \textit{J. Li}, Appl. Numer. Math. 36, No. 2--3, 129--154 (2001; Zbl 0976.65094) Full Text: DOI
Miller, J. J. H.; O’Riordan, E.; Shishkin, G. I.; Wang, S. A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. (English) Zbl 0967.65086 Appl. Numer. Math. 35, No. 4, 323-337 (2000). MSC: 65L10 34B15 34E15 65L50 65L12 65L20 82D37 PDFBibTeX XMLCite \textit{J. J. H. Miller} et al., Appl. Numer. Math. 35, No. 4, 323--337 (2000; Zbl 0967.65086) Full Text: DOI
Li, Jichun Multiblock mixed finite element methods for singularly perturbed problems. (English) Zbl 0965.65126 Appl. Numer. Math. 35, No. 2, 157-175 (2000). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N30 65N55 35J25 35B25 PDFBibTeX XMLCite \textit{J. Li}, Appl. Numer. Math. 35, No. 2, 157--175 (2000; Zbl 0965.65126) Full Text: DOI
Beckett, G.; Mackenzie, J. A. Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. (English) Zbl 0963.65086 Appl. Numer. Math. 35, No. 2, 87-109 (2000). Reviewer: Dana Petcu (Timişoara) MSC: 65L20 65L12 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{G. Beckett} and \textit{J. A. Mackenzie}, Appl. Numer. Math. 35, No. 2, 87--109 (2000; Zbl 0963.65086) Full Text: DOI
Boglaev, Igor Domain decomposition in boundary layers for singularly perturbed problems. (English) Zbl 0952.65071 Appl. Numer. Math. 34, No. 2-3, 145-166 (2000). Reviewer: Dinh Nho Hao (Frankfurt am Main) MSC: 65M55 65M06 65N55 65N06 65N12 65M12 35K15 35J25 35B25 PDFBibTeX XMLCite \textit{I. Boglaev}, Appl. Numer. Math. 34, No. 2--3, 145--166 (2000; Zbl 0952.65071) Full Text: DOI
Lenferink, Wim Pointwise convergence of approximations to a convection-diffusion equation on a Shishkin mesh. (English) Zbl 0942.65090 Appl. Numer. Math. 32, No. 1, 69-86 (2000). Reviewer: P.Chocholatý (Bratislava) MSC: 65L20 65L10 65L12 65L60 65L50 34B05 34E15 PDFBibTeX XMLCite \textit{W. Lenferink}, Appl. Numer. Math. 32, No. 1, 69--86 (2000; Zbl 0942.65090) Full Text: DOI
Linß, Torsten; Stynes, Martin A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems. (English) Zbl 0939.65117 Appl. Numer. Math. 31, No. 3, 255-270 (1999). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N06 35J25 35B25 65N12 65N50 PDFBibTeX XMLCite \textit{T. Linß} and \textit{M. Stynes}, Appl. Numer. Math. 31, No. 3, 255--270 (1999; Zbl 0939.65117) Full Text: DOI
Cash, J. R.; Wright, R. W. Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems. (English) Zbl 0926.65078 Appl. Numer. Math. 28, No. 2-4, 227-244 (1998). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 34B15 34E15 65L06 PDFBibTeX XMLCite \textit{J. R. Cash} and \textit{R. W. Wright}, Appl. Numer. Math. 28, No. 2--4, 227--244 (1998; Zbl 0926.65078) Full Text: DOI
Clavero, C.; Jorge, J. C.; Lisbona, F.; Shishkin, G. I. A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems. (English) Zbl 0929.65058 Appl. Numer. Math. 27, No. 3, 211-231 (1998). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 65M12 35K05 35B25 PDFBibTeX XMLCite \textit{C. Clavero} et al., Appl. Numer. Math. 27, No. 3, 211--231 (1998; Zbl 0929.65058) Full Text: DOI
Apel, Thomas; Lube, Gert Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. (English) Zbl 0933.65136 Appl. Numer. Math. 26, No. 4, 415-433 (1998). Reviewer: A.L.Pletea (Iaşi) MSC: 65N30 65N12 65N15 65N50 35B25 35J25 PDFBibTeX XMLCite \textit{T. Apel} and \textit{G. Lube}, Appl. Numer. Math. 26, No. 4, 415--433 (1998; Zbl 0933.65136) Full Text: DOI
Blatov, Igor A.; Blatova, Victoria V.; Rozhec, Yurii B.; Strygin, Vadim V. Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes. (English) Zbl 0887.65089 Appl. Numer. Math. 25, No. 4, 321-332 (1997). Reviewer: N.Parhi (Berhampur) MSC: 65L10 34B15 65L60 65L70 34E15 65L50 PDFBibTeX XMLCite \textit{I. A. Blatov} et al., Appl. Numer. Math. 25, No. 4, 321--332 (1997; Zbl 0887.65089) Full Text: DOI
Stynes, Martin; Roos, Hans-Görg The midpoint upwind scheme. (English) Zbl 0877.65055 Appl. Numer. Math. 23, No. 3, 361-374 (1997). Reviewer: M.Calvo (Zaragoza) MSC: 65L10 65L12 34E15 34B05 PDFBibTeX XMLCite \textit{M. Stynes} and \textit{H.-G. Roos}, Appl. Numer. Math. 23, No. 3, 361--374 (1997; Zbl 0877.65055) Full Text: DOI
Melendo, Begoña; Palacios, Manuel A new approach to the construction of multirevolution methods and their implementation. (English) Zbl 0873.65066 Appl. Numer. Math. 23, No. 2, 259-274 (1997). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L05 34A34 34E15 PDFBibTeX XMLCite \textit{B. Melendo} and \textit{M. Palacios}, Appl. Numer. Math. 23, No. 2, 259--274 (1997; Zbl 0873.65066) 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
Stojanović, Mirjana Splines difference methods for a singular perturbation problem. (English) Zbl 0859.65080 Appl. Numer. Math. 21, No. 3, 321-333 (1996). Reviewer: M.Bartušek (Brno) MSC: 65L10 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{M. Stojanović}, Appl. Numer. Math. 21, No. 3, 321--333 (1996; Zbl 0859.65080) Full Text: DOI
Lube, G.; Weiss, D. Stabilized finite element methods for singularly perturbed parabolic problems. (English) Zbl 0838.65095 Appl. Numer. Math. 17, No. 4, 431-459 (1995). Reviewer: A.Kaneko (Komaba/Meguro-ku) MSC: 65M60 65M12 65M15 35K57 65M20 35B25 PDFBibTeX XMLCite \textit{G. Lube} and \textit{D. Weiss}, Appl. Numer. Math. 17, No. 4, 431--459 (1995; Zbl 0838.65095) Full Text: DOI
Schwitzer, Felix \(W\)-methods for semilinear parabolic equations. (English) Zbl 0833.65051 Appl. Numer. Math. 18, No. 1-3, 351-366 (1995). Reviewer: K.Najzar (Praha) MSC: 65J15 65M12 47E05 34E20 35G10 35K25 47D03 PDFBibTeX XMLCite \textit{F. Schwitzer}, Appl. Numer. Math. 18, No. 1--3, 351--366 (1995; Zbl 0833.65051) Full Text: DOI
Papini, Alessandra About the central difference method for singularly perturbed boundary value problems. (English) Zbl 0833.65075 Appl. Numer. Math. 17, No. 3, 333-346 (1995). Reviewer: F.Zhang (Singapore) MSC: 65L10 65L20 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{A. Papini}, Appl. Numer. Math. 17, No. 3, 333--346 (1995; Zbl 0833.65075) Full Text: DOI
Vulanović, Relja A uniform convergence result for semilinear singular perturbation problems violating the standard stability condition. (English) Zbl 0820.65048 Appl. Numer. Math. 16, No. 3, 383-399 (1995). Reviewer: P.Chocholatý (Bratislava) MSC: 65L10 65L12 65L50 34B15 34E15 PDFBibTeX XMLCite \textit{R. Vulanović}, Appl. Numer. Math. 16, No. 3, 383--399 (1995; Zbl 0820.65048) Full Text: DOI
Guo, Wen; Stynes, Martin Finite element analysis of an exponentially fitted non-lumped scheme for advection-diffusion equations. (English) Zbl 0826.65089 Appl. Numer. Math. 15, No. 4, 375-393 (1994). Reviewer: O.Dementev (Chelyabinsk) MSC: 65M60 65M12 65M06 35B25 35M10 PDFBibTeX XMLCite \textit{W. Guo} and \textit{M. Stynes}, Appl. Numer. Math. 15, No. 4, 375--393 (1994; Zbl 0826.65089) Full Text: DOI
Schmitt, B. A.; Mei, Z. Construction of higher-order algebraic one-step schemes in stiff BVPs. (English) Zbl 0790.65060 Appl. Numer. Math. 13, No. 1-3, 199-208 (1993). Reviewer: M.M.Konstantinov (Sofia) MSC: 65L05 65L06 65L20 34A30 34E13 34E15 PDFBibTeX XMLCite \textit{B. A. Schmitt} and \textit{Z. Mei}, Appl. Numer. Math. 13, No. 1--3, 199--208 (1993; Zbl 0790.65060) Full Text: DOI
Vulanović, R. Some switching schemes for quasilinear singular perturbation problems. (English) Zbl 0747.65067 Appl. Numer. Math. 9, No. 2, 143-155 (1992). Reviewer: F.Ling (Hoboken) MSC: 65L10 65L12 34B15 34E15 PDFBibTeX XMLCite \textit{R. Vulanović}, Appl. Numer. Math. 9, No. 2, 143--155 (1992; Zbl 0747.65067) Full Text: DOI
Reinhardt, Hans-Jürgen A-posteriori error estimation for finite element modifications of line methods applied to singularly perturbed partial differential equations. (English) Zbl 0579.65115 Appl. Numer. Math. 1, 145-176 (1985). Reviewer: J.Kačur MSC: 65N30 65N40 65N15 35B25 35K20 35J25 65N50 PDFBibTeX XMLCite \textit{H.-J. Reinhardt}, Appl. Numer. Math. 1, 145--176 (1985; Zbl 0579.65115) Full Text: DOI