Singh, Maneesh Kumar; Natesan, Srinivasan Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales. (English) Zbl 1446.65077 Comput. Math. Appl. 80, No. 4, 36-53 (2020). MSC: 65M06 65M12 65M15 65M50 65N06 35B25 76S05 76N10 PDF BibTeX XML Cite \textit{M. K. Singh} and \textit{S. Natesan}, Comput. Math. Appl. 80, No. 4, 36--53 (2020; Zbl 1446.65077) Full Text: DOI OpenURL
Gowrisankar, S.; Natesan, Srinivasan \(\varepsilon\)-uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations. (English) Zbl 1377.65103 Int. J. Comput. Math. 94, No. 5, 902-921 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 65M12 35K20 35R10 35B25 65M50 65M15 PDF BibTeX XML Cite \textit{S. Gowrisankar} and \textit{S. Natesan}, Int. J. Comput. Math. 94, No. 5, 902--921 (2017; Zbl 1377.65103) Full Text: DOI OpenURL
Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G. Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. (English) Zbl 1348.65118 J. Comput. Appl. Math. 310, 186-199 (2017). MSC: 65M06 35K59 65M15 65M50 PDF BibTeX XML Cite \textit{P. Matus} et al., J. Comput. Appl. Math. 310, 186--199 (2017; Zbl 1348.65118) Full Text: DOI OpenURL
Puppo, Gabriella; Semplice, Matteo Well-balanced high order 1D schemes on non-uniform grids and entropy residuals. (English) Zbl 1371.65093 J. Sci. Comput. 66, No. 3, 1052-1076 (2016). MSC: 65M08 35L65 65M50 65M15 PDF BibTeX XML Cite \textit{G. Puppo} and \textit{M. Semplice}, J. Sci. Comput. 66, No. 3, 1052--1076 (2016; Zbl 1371.65093) Full Text: DOI arXiv OpenURL
Gupta, Vikas; Kadalbajoo, Mohan K. Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh. (English) Zbl 1339.65148 J. Numer. Math. 24, No. 2, 73-94 (2016). MSC: 65M12 65M15 65M50 65M70 PDF BibTeX XML Cite \textit{V. Gupta} and \textit{M. K. Kadalbajoo}, J. Numer. Math. 24, No. 2, 73--94 (2016; Zbl 1339.65148) Full Text: DOI OpenURL
Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. (English) Zbl 1326.65135 J. Sci. Comput. 64, No. 3, 773-817 (2015). MSC: 65M60 35L03 65M12 65M50 65D07 65M15 PDF BibTeX XML Cite \textit{J. K. Ryan} et al., J. Sci. Comput. 64, No. 3, 773--817 (2015; Zbl 1326.65135) Full Text: DOI Link OpenURL
Mukherjee, Kaushik; Natesan, Srinivasan Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type. (English) Zbl 1314.65116 Numer. Methods Partial Differ. Equations 30, No. 6, 1931-1960 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M12 35B25 35M10 65M50 65M15 PDF BibTeX XML Cite \textit{K. Mukherjee} and \textit{S. Natesan}, Numer. Methods Partial Differ. Equations 30, No. 6, 1931--1960 (2014; Zbl 1314.65116) Full Text: DOI OpenURL
Franklin, Victor; Miller, John J. H.; Valarmathi, Sigamani Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system. (English) Zbl 1312.65144 Math. Commun. 19, No. 3, 469-495 (2014). Reviewer: Srinivasan Natesan (Assam) MSC: 65M12 65M06 35K40 35B25 35B50 65M50 65M15 PDF BibTeX XML Cite \textit{V. Franklin} et al., Math. Commun. 19, No. 3, 469--495 (2014; Zbl 1312.65144) Full Text: Link OpenURL
Sun, Jianan; Jia, Wei; Wu, Guangzhi A higher accurate compact difference scheme on non-uniform grid. (Chinese. English summary) Zbl 1313.65226 J. Northwest Norm. Univ., Nat. Sci. 50, No. 4, 31-35, 40 (2014). MSC: 65M06 65M50 35Q53 35K20 65M15 PDF BibTeX XML Cite \textit{J. Sun} et al., J. Northwest Norm. Univ., Nat. Sci. 50, No. 4, 31--35, 40 (2014; Zbl 1313.65226) OpenURL
Zhang, Huirong; Cao, Jianwen; Sun, Jiachang Calculations and analyses of several high accuracy schemes for solving ODE eigenproblem on non-uniform grid. (Chinese. English summary) Zbl 1313.65200 J. Numer. Methods Comput. Appl. 35, No. 2, 131-152 (2014). MSC: 65L15 65L50 34L16 65L70 65L12 65L60 PDF BibTeX XML Cite \textit{H. Zhang} et al., J. Numer. Methods Comput. Appl. 35, No. 2, 131--152 (2014; Zbl 1313.65200) OpenURL
Gowrisankar, S.; Natesan, Srinivasan The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids. (English) Zbl 1311.65111 Appl. Math. Lett. 26, No. 11, 1053-1060 (2013). MSC: 65M06 35B25 35K57 65M12 65M50 65M15 PDF BibTeX XML Cite \textit{S. Gowrisankar} and \textit{S. Natesan}, Appl. Math. Lett. 26, No. 11, 1053--1060 (2013; Zbl 1311.65111) Full Text: DOI OpenURL
Natesan, Srinivasan; Gowrisankar, S. Robust numerical scheme for singularly perturbed parabolic initial-boundary-value problems on equidistributed mesh. (English) Zbl 1357.65126 CMES, Comput. Model. Eng. Sci. 88, No. 4, 245-268 (2012). MSC: 65M06 65M15 65M50 PDF BibTeX XML Cite \textit{S. Natesan} and \textit{S. Gowrisankar}, CMES, Comput. Model. Eng. Sci. 88, No. 4, 245--268 (2012; Zbl 1357.65126) Full Text: DOI OpenURL
Mukherjee, Kaushik; Natesan, Srinivasan \(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers. (English) Zbl 1227.65083 Numer. Algorithms 58, No. 1, 103-141 (2011). Reviewer: Yajuan Sun (Beijing) MSC: 65M15 65M06 65M12 35K20 35R05 35B25 65M50 PDF BibTeX XML Cite \textit{K. Mukherjee} and \textit{S. Natesan}, Numer. Algorithms 58, No. 1, 103--141 (2011; Zbl 1227.65083) Full Text: DOI OpenURL
Mukherjee, Kaushik; Natesan, Srinivasan Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients. (English) Zbl 1230.65104 BIT 51, No. 2, 289-315 (2011). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M15 65M06 65M12 35K20 35B25 65M50 PDF BibTeX XML Cite \textit{K. Mukherjee} and \textit{S. Natesan}, BIT 51, No. 2, 289--315 (2011; Zbl 1230.65104) Full Text: DOI OpenURL
Kadalbajoo, Mohan K.; Gupta, Vikas Hybrid finite difference methods for solving modified Burgers and Burgers-Huxley equations. (English) Zbl 1216.65105 Neural Parallel Sci. Comput. 18, No. 3-4, 409-421 (2010). MSC: 65M06 35Q53 65M50 65M12 65M15 PDF BibTeX XML Cite \textit{M. K. Kadalbajoo} and \textit{V. Gupta}, Neural Parallel Sci. Comput. 18, No. 3--4, 409--421 (2010; Zbl 1216.65105) OpenURL
Mohanty, Ranjan Kumar On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. (English) Zbl 1197.65126 Numer. Algorithms 54, No. 3, 379-393 (2010). MSC: 65M06 35K61 35Q53 65M15 65M50 PDF BibTeX XML Cite \textit{R. K. Mohanty}, Numer. Algorithms 54, No. 3, 379--393 (2010; Zbl 1197.65126) Full Text: DOI OpenURL
Amiraliyeva, I. G. Difference schemes for singularly perturbed Boussinesq system. (English) Zbl 1201.65147 Int. J. Appl. Math. 23, No. 2, 277-291 (2010). Reviewer: Damian Słota (Gliwice) MSC: 65M06 65M12 65M15 65M50 35Q35 35B25 PDF BibTeX XML Cite \textit{I. G. Amiraliyeva}, Int. J. Appl. Math. 23, No. 2, 277--291 (2010; Zbl 1201.65147) OpenURL
Gracia, J. L.; Lisbona, F. J.; O’Riordan, E. A coupled system of singularly perturbed parabolic reaction-diffusion equations. (English) Zbl 1188.65118 Adv. Comput. Math. 32, No. 1, 43-61 (2010). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M15 65M12 65M50 35K57 35B25 PDF BibTeX XML Cite \textit{J. L. Gracia} et al., Adv. Comput. Math. 32, No. 1, 43--61 (2010; Zbl 1188.65118) Full Text: DOI OpenURL
Shishkin, G. I. Numerical method for singularly perturbed parabolic equations in unbounded domains in the case of solutions growing at infinity. (English) Zbl 1162.65381 Comput. Methods Appl. Math. 9, No. 1, 100-110 (2009). MSC: 65M06 35B25 35K15 65M12 65M15 65M50 PDF BibTeX XML Cite \textit{G. I. Shishkin}, Comput. Methods Appl. Math. 9, No. 1, 100--110 (2009; Zbl 1162.65381) Full Text: DOI OpenURL
Natesan, Srinivasan; Deb, Rajdeep A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems. (English) Zbl 1187.65093 Neural Parallel Sci. Comput. 16, No. 3, 419-434 (2008). Reviewer: Maria Christina Mariani (El Paso) MSC: 65M06 35K57 35B25 65M15 65M50 65M12 PDF BibTeX XML Cite \textit{S. Natesan} and \textit{R. Deb}, Neural Parallel Sci. Comput. 16, No. 3, 419--434 (2008; Zbl 1187.65093) OpenURL
Cordero, N.; Cronin, K.; Shishkin, G.; Shishkina, L.; Stynes, M. Finite difference scheme for a singularly perturbed parabolic equations in the presence of initial and boundary layers. (English) Zbl 1177.65121 Math. Model. Anal. 13, No. 4, 483-492 (2008). MSC: 65M06 65M15 65M12 35K57 65M50 35B25 PDF BibTeX XML Cite \textit{N. Cordero} et al., Math. Model. Anal. 13, No. 4, 483--492 (2008; Zbl 1177.65121) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
da Silva, Patrícia Nunes; Boldrini, José Luiz Error estimates for full discretization of a model for Ostwald ripening. (English) Zbl 1155.65074 Numer. Funct. Anal. Optim. 29, No. 7-8, 905-926 (2008). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M15 35K55 65M20 65M06 65M50 PDF BibTeX XML Cite \textit{P. N. da Silva} and \textit{J. L. Boldrini}, Numer. Funct. Anal. Optim. 29, No. 7--8, 905--926 (2008; Zbl 1155.65074) Full Text: DOI OpenURL
Galvão, Árpád; Gerritsma, Marc; De Maerschalck, Bart \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations. (English) Zbl 1138.65091 J. Comput. Appl. Math. 215, No. 2, 409-418 (2008). MSC: 65M60 35L45 65M50 65M15 PDF BibTeX XML Cite \textit{Á. Galvão} et al., J. Comput. Appl. Math. 215, No. 2, 409--418 (2008; Zbl 1138.65091) Full Text: DOI OpenURL
Zhu, Guoqing; Li, Qingshan; Chen, Shaochun Finite element approximation for semi-singularly perturbed problems under graded meshes. (Chinese. English summary) Zbl 1150.65424 J. Guangxi Norm. Univ., Nat. Sci. 25, No. 3, 48-51 (2007). MSC: 65M60 65M12 65M15 35B25 35K57 65M50 PDF BibTeX XML Cite \textit{G. Zhu} et al., J. Guangxi Norm. Univ., Nat. Sci. 25, No. 3, 48--51 (2007; Zbl 1150.65424) OpenURL
Amiraliyev, G. M.; Amiraliyeva, I. G. Difference schemes for the singularly perturbed Sobolev equations. (English) Zbl 1127.65057 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 23-40 (2007). MSC: 65M06 65M15 65M50 35K70 65M12 PDF BibTeX XML Cite \textit{G. M. Amiraliyev} and \textit{I. G. Amiraliyeva}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 23--40 (2007; Zbl 1127.65057) OpenURL
Ansari, A. R.; Bakr, S. A.; Shishkin, G. I. A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations. (English) Zbl 1121.65090 J. Comput. Appl. Math. 205, No. 1, 552-566 (2007). Reviewer: Piotr Matus (Minsk) MSC: 65M06 65M12 65M50 35B25 35K20 35R10 PDF BibTeX XML Cite \textit{A. R. Ansari} et al., J. Comput. Appl. Math. 205, No. 1, 552--566 (2007; Zbl 1121.65090) Full Text: DOI OpenURL
Yang, Min; Yuan, Yirang A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems. (English) Zbl 1121.65103 J. Comput. Appl. Math. 200, No. 2, 677-700 (2007). Reviewer: Ziwen Jiang (Shandong) MSC: 65M60 35K55 65M15 65M50 PDF BibTeX XML Cite \textit{M. Yang} and \textit{Y. Yuan}, J. Comput. Appl. Math. 200, No. 2, 677--700 (2007; Zbl 1121.65103) Full Text: DOI OpenURL
Bakaev, Nikolai Yu.; Crouzeix, Michel; Thomée, Vidar Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations. (English) Zbl 1116.65108 ESAIM, Math. Model. Numer. Anal. 40, No. 5, 923-937 (2006). Reviewer: Etienne Emmrich (Berlin) MSC: 65M15 65M60 35K15 65M20 65M50 PDF BibTeX XML Cite \textit{N. Yu. Bakaev} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 5, 923--937 (2006; Zbl 1116.65108) Full Text: DOI Numdam EuDML OpenURL
Kadalbajoo, Mohan K.; Awasthi, A. A parameter uniform difference scheme for singularly perturbed parabolic problem in one space dimension. (English) Zbl 1110.65079 Appl. Math. Comput. 183, No. 1, 42-60 (2006). Reviewer: Srinivasan Natesan (Assam) MSC: 65M06 35K15 35B25 65M50 65M12 65M15 PDF BibTeX XML Cite \textit{M. K. Kadalbajoo} and \textit{A. Awasthi}, Appl. Math. Comput. 183, No. 1, 42--60 (2006; Zbl 1110.65079) Full Text: DOI OpenURL
Brayanov, Iliya A. Numerical solution of a mixed singularly perturbed parabolic-elliptic problem. (English) Zbl 1098.65086 J. Math. Anal. Appl. 320, No. 1, 361-380 (2006). Reviewer: Kai Schneider (Marseille) MSC: 65M06 35M10 65M50 65M12 35B25 65M15 PDF BibTeX XML Cite \textit{I. A. Brayanov}, J. Math. Anal. Appl. 320, No. 1, 361--380 (2006; Zbl 1098.65086) Full Text: DOI OpenURL
O’Riordan, E.; Pickett, M. L.; Shishkin, G. I. Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems. (English) Zbl 1098.65091 Math. Comput. 75, No. 255, 1135-1154 (2006). Reviewer: S. Burys (Kraków) MSC: 65M06 65M15 65M12 35K15 35B25 65M50 PDF BibTeX XML Cite \textit{E. O'Riordan} et al., Math. Comput. 75, No. 255, 1135--1154 (2006; Zbl 1098.65091) Full Text: DOI OpenURL
Il’in, V. P.; Shmakov, I. A. On the finite volume solution of a 1D parabolic nonlinear equation. (English) Zbl 1249.65184 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 13, 33-42 (2005). MSC: 65M08 35K55 65M06 65M50 65M15 PDF BibTeX XML Cite \textit{V. P. Il'in} and \textit{I. A. Shmakov}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 13, 33--42 (2005; Zbl 1249.65184) OpenURL
Wang, Xuan; Yang, Zhifeng; Hua, Guochun; Meng, Zhanli An exponential transformation method for constructing high-order schemes of convection-diffusion equations on nonuniform difference grids. (Chinese. English summary) Zbl 1091.65091 J. Beijing Norm. Univ., Nat. Sci. 41, No. 6, 636-640 (2005). MSC: 65M06 35K15 65M15 65M50 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Beijing Norm. Univ., Nat. Sci. 41, No. 6, 636--640 (2005; Zbl 1091.65091) OpenURL
Kadalbajoo, Mohan K.; Sharma, K. K.; Awasthi, A. A parameter-uniform implicit difference scheme for solving time-dependent Burgers’ equations. (English) Zbl 1084.65081 Appl. Math. Comput. 170, No. 2, 1365-1393 (2005). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M12 35Q53 65M20 65M15 65M50 PDF BibTeX XML Cite \textit{M. K. Kadalbajoo} et al., Appl. Math. Comput. 170, No. 2, 1365--1393 (2005; Zbl 1084.65081) Full Text: DOI OpenURL
Zhang, Tie The optimal order error estimates for finite element approximations to hyperbolic problems. (English) Zbl 1073.65091 J. Comput. Math. 23, No. 3, 275-284 (2005). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M15 65M60 35L45 65M50 PDF BibTeX XML Cite \textit{T. Zhang}, J. Comput. Math. 23, No. 3, 275--284 (2005; Zbl 1073.65091) OpenURL
Shishkin, Grigory I.; Shishkina, Lidia P.; Hemker, Pieter W. A class of singularly perturbed convection-diffusion problems with a moving interior layer. An a posteriori adaptive mesh technique. (English) Zbl 1049.65085 Comput. Methods Appl. Math. 4, No. 1, 105-127 (2004). MSC: 65M06 35K15 35B25 65M12 65M15 65M50 PDF BibTeX XML Cite \textit{G. I. Shishkin} et al., Comput. Methods Appl. Math. 4, No. 1, 105--127 (2004; Zbl 1049.65085) Full Text: DOI OpenURL
Shishkin, G. I. Discrete approximations of solutions and derivatives for a singularly perturbed parabolic convection–diffusion equation. (English) Zbl 1039.65061 J. Comput. Appl. Math. 166, No. 1, 247-266 (2004). MSC: 65M06 65M15 65M50 35B25 35K15 65M12 PDF BibTeX XML Cite \textit{G. I. Shishkin}, J. Comput. Appl. Math. 166, No. 1, 247--266 (2004; Zbl 1039.65061) Full Text: DOI OpenURL
Hemker, Pieter W.; Shishkin, Grigorii I.; Shishkina, Lidia P. Novel defect-correction high-order, in space and time, accurate schemes for parabolic singularly perturbed convection-diffusion problems. (English) Zbl 1034.65071 Comput. Methods Appl. Math. 3, No. 3, 387-404 (2003). MSC: 65M06 65M12 65M15 35B25 35K15 65M50 PDF BibTeX XML Cite \textit{P. W. Hemker} et al., Comput. Methods Appl. Math. 3, No. 3, 387--404 (2003; Zbl 1034.65071) Full Text: DOI OpenURL
Dunne, Raymond K.; O’Riordan, Eugene; Shishkin, Grigorii I. A fitted mesh method for a class of singularly perturbed parabolic problems with a boundary turning point. (English) Zbl 1036.65068 Comput. Methods Appl. Math. 3, No. 3, 361-372 (2003). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M06 65M12 65M15 35B25 35K55 65M50 PDF BibTeX XML Cite \textit{R. K. Dunne} et al., Comput. Methods Appl. Math. 3, No. 3, 361--372 (2003; Zbl 1036.65068) Full Text: DOI OpenURL
Kalitkin, N. N.; Kuznetsov, N. O.; Panchenko, S. L. The method of quasiuniform grids in an infinite domain. (English. Russian original) Zbl 1045.65021 Dokl. Math. 62, No. 2, 249-252 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 598-601 (2000). MSC: 65D25 65M06 65M50 65L15 65M15 34L16 PDF BibTeX XML Cite \textit{N. N. Kalitkin} et al., Dokl. Math. 62, No. 2, 598--601 (2000; Zbl 1045.65021); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 598--601 (2000) OpenURL
Jiang, Xun; Nochetto, Ricardo H. A \(P^1-P^1\) finite element method for a phase relaxation model. I: Quasi-uniform mesh. (English) Zbl 0972.65067 SIAM J. Numer. Anal. 35, No. 3, 1176-1190 (1998). MSC: 65M60 80A22 80M10 35R35 65M15 65M50 35K15 PDF BibTeX XML Cite \textit{X. Jiang} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 35, No. 3, 1176--1190 (1998; Zbl 0972.65067) Full Text: DOI OpenURL
Grenier, E. Pseudo-differential energy estimates of singular perturbations. (English) Zbl 0884.35183 Commun. Pure Appl. Math. 50, No. 9, 821-865 (1997). Reviewer: L.Rodino (Torino) MSC: 35S05 35Q35 76X05 PDF BibTeX XML Cite \textit{E. Grenier}, Commun. Pure Appl. Math. 50, No. 9, 821--865 (1997; Zbl 0884.35183) Full Text: DOI OpenURL
Bai, Qingyuan; Lin, Pengcheng A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. (English) Zbl 0848.65060 Appl. Math. Mech., Engl. Ed. 17, No. 2, 187-195 (1996). Reviewer: Michael Sever (Jerusalem) MSC: 65L10 34B15 34E15 65L12 65L70 PDF BibTeX XML Cite \textit{Q. Bai} and \textit{P. Lin}, Appl. Math. Mech., Engl. Ed. 17, No. 2, 187--195 (1996; Zbl 0848.65060) Full Text: DOI OpenURL
Verwer, J. G.; Trompert, R. A. Analysis of local uniform grid refinement. (English) Zbl 0789.65076 Appl. Numer. Math. 13, No. 1-3, 251-270 (1993). Reviewer: R.Gorenflo (Berlin) MSC: 65M50 65N50 65M15 65N15 PDF BibTeX XML Cite \textit{J. G. Verwer} and \textit{R. A. Trompert}, Appl. Numer. Math. 13, No. 1--3, 251--270 (1993; Zbl 0789.65076) Full Text: DOI OpenURL
Trompert, Ron Local uniform grid refinement and systems of coupled partial differential equations. (English) Zbl 0780.65055 Appl. Numer. Math. 12, No. 4, 331-355 (1993). Reviewer: P.Y.Yalamov (Russe) MSC: 65M06 65M12 65M50 65M15 35L65 PDF BibTeX XML Cite \textit{R. Trompert}, Appl. Numer. Math. 12, No. 4, 331--355 (1993; Zbl 0780.65055) Full Text: DOI OpenURL
Trompert, R. A.; Verwer, J. G. Analysis of the implicit Euler local uniform grid refinement method. (English) Zbl 0772.65067 SIAM J. Sci. Comput. 14, No. 2, 259-278 (1993). Reviewer: E.Krause (Aachen) MSC: 65M50 65M06 65M15 65M20 35K15 PDF BibTeX XML Cite \textit{R. A. Trompert} and \textit{J. G. Verwer}, SIAM J. Sci. Comput. 14, No. 2, 259--278 (1993; Zbl 0772.65067) Full Text: DOI Link OpenURL
Verwer, J. G.; Trombert, R. A. Analysis of an adaptive finite-difference method for time dependent PDEs. (English) Zbl 0796.65094 Griffiths, D. F. (ed.) et al., Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 260, 267-284 (1992). Reviewer: S.Jiang (Bonn) MSC: 65M06 65M20 65M50 65M15 35K15 PDF BibTeX XML Cite \textit{J. G. Verwer} and \textit{R. A. Trombert}, in: Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific \& Technical; New York: John Wiley \& Sons. 267--284 (1992; Zbl 0796.65094) OpenURL
Trompert, R. A.; Verwer, J. G. A static-regridding method for two-dimensional parabolic partial differential equations. (English) Zbl 0745.65057 Appl. Numer. Math. 8, No. 1, 65-90 (1991). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65M55 65M50 65M15 65M20 35K55 PDF BibTeX XML Cite \textit{R. A. Trompert} and \textit{J. G. Verwer}, Appl. Numer. Math. 8, No. 1, 65--90 (1991; Zbl 0745.65057) Full Text: DOI OpenURL
Oliger, Joseph Adaptive grid methods for hyperbolic partial differential equations. (English) Zbl 0619.65081 Inverse problems of acoustic and elastic waves, Proc. Int. Conf., Ithaca/N.Y. 1984, 320-331 (1984). MSC: 65M12 65M15 65M50 35L45 PDF BibTeX XML OpenURL
Martynova, E. D. Application of the method of successive approximation to the calculation of the average deflection of a circular plate. (English. Russian original) Zbl 0575.73061 Mosc. Univ. Mech. Bull. 39, No. 4, 1-5 (1984); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 43-45 (1984). MSC: 74K20 PDF BibTeX XML Cite \textit{E. D. Martynova}, Mosc. Univ. Mech. Bull. 39, No. 4, 1--5 (1984; Zbl 0575.73061); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 43--45 (1984) OpenURL
Volkov, E. A. On the regular composite difference method for Laplace’s equation on polygons. (English. Russian original) Zbl 0398.65068 Proc. Steklov Inst. Math. 140, 71-109 (1979); translation from Tr. Mat. Inst. Steklov 140, 68-102 (1976). MSC: 65N22 35J05 65N06 65N12 39A10 65N15 PDF BibTeX XML Cite \textit{E. A. Volkov}, Proc. Steklov Inst. Math. 140, 71--109 (1976; Zbl 0398.65068); translation from Tr. Mat. Inst. Steklov 140, 68--102 (1976) OpenURL