Sun, Ning; Liu, Weishi Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study. (English) Zbl 07818453 J. Dyn. Differ. Equations 36, No. 1, 27-62 (2024). MSC: 34B16 37N25 92C35 PDFBibTeX XMLCite \textit{N. Sun} and \textit{W. Liu}, J. Dyn. Differ. Equations 36, No. 1, 27--62 (2024; Zbl 07818453) Full Text: DOI
Liu, Weishi Dynamics of Poisson-Nernst-Planck systems and ionic flows through ion channels: a review. (English) Zbl 07812198 Commun. Math. Res. 39, No. 3, 342-385 (2023). MSC: 34A26 34B16 78A35 92C35 PDFBibTeX XMLCite \textit{W. Liu}, Commun. Math. Res. 39, No. 3, 342--385 (2023; Zbl 07812198) Full Text: DOI
Lin, Guojian Effects of ion sizes on Poisson-Nernst-Planck systems with multiple ions. (English) Zbl 07788322 Math. Methods Appl. Sci. 46, No. 11, 11842-11868 (2023). MSC: 34A26 34B16 34D15 37D10 92C35 PDFBibTeX XMLCite \textit{G. Lin}, Math. Methods Appl. Sci. 46, No. 11, 11842--11868 (2023; Zbl 07788322) Full Text: DOI
Hupkes, H. J.; Van Vleck, E. S. Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness. (English) Zbl 1497.34108 J. Dyn. Differ. Equations 34, No. 2, 1505-1599 (2022). MSC: 34K31 34C37 34E15 35C07 35K57 65M06 PDFBibTeX XMLCite \textit{H. J. Hupkes} and \textit{E. S. Van Vleck}, J. Dyn. Differ. Equations 34, No. 2, 1505--1599 (2022; Zbl 1497.34108) Full Text: DOI
Antoñana, Mikel; Chartier, Philippe; Murua, Ander Majorant series for the \(N\)-body problem. (English) Zbl 1479.34028 Int. J. Comput. Math. 99, No. 1, 158-183 (2022). MSC: 34A37 70F10 PDFBibTeX XMLCite \textit{M. Antoñana} et al., Int. J. Comput. Math. 99, No. 1, 158--183 (2022; Zbl 1479.34028) Full Text: DOI arXiv
Wang, Tongke; Liu, Zhifang; Kong, Yiting The series expansion and Chebyshev collocation method for nonlinear singular two-point boundary value problems. (English) Zbl 1476.65147 J. Eng. Math. 126, Paper No. 5, 29 p. (2021). MSC: 65L10 65L60 34B16 34B05 65L20 PDFBibTeX XMLCite \textit{T. Wang} et al., J. Eng. Math. 126, Paper No. 5, 29 p. (2021; Zbl 1476.65147) Full Text: DOI
Zhao, Tengjin; Zhang, Zhiyue; Wang, Tongke A hybrid asymptotic and augmented compact finite volume method for nonlinear singular two point boundary value problems. (English) Zbl 1488.65206 Appl. Math. Comput. 392, Article ID 125745, 15 p. (2021). MSC: 65L60 34B16 65L10 65L70 PDFBibTeX XMLCite \textit{T. Zhao} et al., Appl. Math. Comput. 392, Article ID 125745, 15 p. (2021; Zbl 1488.65206) Full Text: DOI
Fu, Lin; Hu, Xiangyu; Adams, Nikolaus A. Adaptive anisotropic unstructured mesh generation method based on fluid relaxation analogy. (English) Zbl 1474.65338 Commun. Comput. Phys. 27, No. 5, 1275-1308 (2020). MSC: 65M50 51F99 68U05 34C40 65M60 65E05 PDFBibTeX XMLCite \textit{L. Fu} et al., Commun. Comput. Phys. 27, No. 5, 1275--1308 (2020; Zbl 1474.65338) Full Text: DOI
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
Shakti, D.; Mokhapatra, Dzh. Parameter-uniform numerical methods for a class of parameterized singular perturbation problems. (Russian. English summary) Zbl 1507.65129 Sib. Zh. Vychisl. Mat. 22, No. 2, 213-228 (2019). MSC: 65L11 34B15 65L10 65L12 65L20 PDFBibTeX XMLCite \textit{D. Shakti} and \textit{Dzh. Mokhapatra}, Sib. Zh. Vychisl. Mat. 22, No. 2, 213--228 (2019; Zbl 1507.65129) Full Text: DOI MNR
Iqbal, Sehar; Zegeling, Paul Andries Sixth-order adaptive non-uniform grids for singularly perturbed boundary value problems. (English) Zbl 1452.65133 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 109-124 (2019). MSC: 65L11 65L10 65L12 34B15 62L20 PDFBibTeX XMLCite \textit{S. Iqbal} and \textit{P. A. Zegeling}, Lect. Notes Comput. Sci. Eng. 131, 109--124 (2019; Zbl 1452.65133) Full Text: DOI
Nhat, Le Anh Pseudospectral method for second-order autonomous nonlinear differential equations. (English) Zbl 1442.65123 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 1, 61-72 (2019). MSC: 65L05 65P10 34B15 PDFBibTeX XMLCite \textit{L. A. Nhat}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 1, 61--72 (2019; Zbl 1442.65123) Full Text: DOI MNR
Das, Pratibhamoy An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh. (English) Zbl 1454.65050 Numer. Algorithms 81, No. 2, 465-487 (2019). MSC: 65L11 65L03 65L10 34K26 35B25 35F20 35F25 PDFBibTeX XMLCite \textit{P. Das}, Numer. Algorithms 81, No. 2, 465--487 (2019; Zbl 1454.65050) Full Text: DOI
Barker, Blake; Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Euler versus Lagrange: the role of coordinates in practical Evans-function computations. (English) Zbl 1395.65131 SIAM J. Appl. Dyn. Syst. 17, No. 2, 1766-1785 (2018). MSC: 65N25 34L16 35L65 76L05 65N12 76N15 PDFBibTeX XMLCite \textit{B. Barker} et al., SIAM J. Appl. Dyn. Syst. 17, No. 2, 1766--1785 (2018; Zbl 1395.65131) Full Text: DOI arXiv
Liu, Changying; Iserles, Arieh; Wu, Xinyuan Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. (English) Zbl 1380.65052 J. Comput. Phys. 356, 1-30 (2018). MSC: 65D30 35Q40 34G10 65D05 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Comput. Phys. 356, 1--30 (2018; Zbl 1380.65052) Full Text: DOI
Liu, Changying; Wu, Xinyuan Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations. (English) Zbl 1380.65205 J. Comput. Phys. 340, 243-275 (2017). MSC: 65M12 35Q41 34G10 65L60 PDFBibTeX XMLCite \textit{C. Liu} and \textit{X. Wu}, J. Comput. Phys. 340, 243--275 (2017; Zbl 1380.65205) Full Text: DOI
Khakimzyanov, Gayaz; Dutykh, Denys On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. (English) Zbl 1370.65038 J. Comput. Appl. Math. 326, 1-14 (2017). MSC: 65L12 65L10 34B15 65L50 65L20 PDFBibTeX XMLCite \textit{G. Khakimzyanov} and \textit{D. Dutykh}, J. Comput. Appl. Math. 326, 1--14 (2017; Zbl 1370.65038) Full Text: DOI arXiv
He, Yinnian; Huang, Weizhang A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. (English) Zbl 1333.65090 J. Comput. Appl. Math. 299, 101-126 (2016). MSC: 65L70 65L60 65L50 34B05 65L20 PDFBibTeX XMLCite \textit{Y. He} and \textit{W. Huang}, J. Comput. Appl. Math. 299, 101--126 (2016; Zbl 1333.65090) Full Text: DOI arXiv
Abd-Elhameed, W. M. Some algorithms for solving third-order boundary value problems using novel operational matrices of generalized Jacobi polynomials. (English) Zbl 1352.65194 Abstr. Appl. Anal. 2015, Article ID 672703, 10 p. (2015). MSC: 65L10 34B15 33C45 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed}, Abstr. Appl. Anal. 2015, Article ID 672703, 10 p. (2015; Zbl 1352.65194) Full Text: DOI
Gan, Wenzhen; Tian, Canrong; Zhu, Peng Hopf bifurcation in a fractional diffusion food-limited models with feedback control. (English) Zbl 1331.92123 J. Math. Chem. 53, No. 6, 1393-1411 (2015). MSC: 92D25 34C23 34A08 PDFBibTeX XMLCite \textit{W. Gan} et al., J. Math. Chem. 53, No. 6, 1393--1411 (2015; Zbl 1331.92123) Full Text: DOI
Das, Pratibhamoy Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems. (English) Zbl 1321.65126 J. Comput. Appl. Math. 290, 16-25 (2015). MSC: 65L50 65L11 34B15 34E15 65L10 65L20 PDFBibTeX XMLCite \textit{P. Das}, J. Comput. Appl. Math. 290, 16--25 (2015; Zbl 1321.65126) Full Text: DOI
Jafari-Varzaneh, H. A.; Hosseini, S. M. A new map for the Chebyshev pseudospectral solution of differential equations with large gradients. (English) Zbl 1316.65072 Numer. Algorithms 69, No. 1, 95-108 (2015). MSC: 65L60 34B05 65L10 35Q35 65M70 65L20 65M12 PDFBibTeX XMLCite \textit{H. A. Jafari-Varzaneh} and \textit{S. M. Hosseini}, Numer. Algorithms 69, No. 1, 95--108 (2015; Zbl 1316.65072) Full Text: DOI
Al-Mdallal, Qasem M.; Syam, Muhammed I. The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems. (English) Zbl 1410.65274 Appl. Math. Comput. 232, 391-398 (2014). MSC: 65L15 34L16 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal} and \textit{M. I. Syam}, Appl. Math. Comput. 232, 391--398 (2014; Zbl 1410.65274) Full Text: DOI
Saleh Taher, A. H.; Malek, A.; Momeni-Masuleh, S. H. Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems. (English) Zbl 1426.65109 Appl. Math. Modelling 37, No. 7, 4634-4642 (2013). MSC: 65L15 65L60 34B24 34L15 PDFBibTeX XMLCite \textit{A. H. Saleh Taher} et al., Appl. Math. Modelling 37, No. 7, 4634--4642 (2013; Zbl 1426.65109) Full Text: DOI
Dlamini, P. G.; Khumalo, M. On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs. (English) Zbl 1264.65208 Math. Probl. Eng. 2012, Article ID 162034, 15 p. (2012). MSC: 65P20 34C11 35K91 35B44 PDFBibTeX XMLCite \textit{P. G. Dlamini} and \textit{M. Khumalo}, Math. Probl. Eng. 2012, Article ID 162034, 15 p. (2012; Zbl 1264.65208) Full Text: DOI
Ma, Jingtang; Huang, Weizhang; Russell, Robert D. Analysis of a moving collocation method for one-dimensional partial differential equations. (English) Zbl 1245.65138 Sci. China, Math. 55, No. 4, 827-840 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 65M08 65M12 34B05 65L20 65L60 PDFBibTeX XMLCite \textit{J. Ma} et al., Sci. China, Math. 55, No. 4, 827--840 (2012; Zbl 1245.65138) Full Text: DOI
Zhu, Shengfeng; Zhu, Hancan; Wu, Qingbiao; Khan, Yasir An adaptive algorithm for the Thomas-Fermi equation. (English) Zbl 1236.65094 Numer. Algorithms 59, No. 3, 359-372 (2012). MSC: 65L10 34B15 65L60 PDFBibTeX XMLCite \textit{S. Zhu} et al., Numer. Algorithms 59, No. 3, 359--372 (2012; Zbl 1236.65094) Full Text: DOI
Ma, Jingtang; Jiang, Yingjun Moving collocation methods for time fractional differential equations and simulation of blowup. (English) Zbl 1217.34010 Sci. China, Math. 54, No. 3, 611-622 (2011). MSC: 34A08 65R20 65M70 26A33 65M50 35K55 PDFBibTeX XMLCite \textit{J. Ma} and \textit{Y. Jiang}, Sci. China, Math. 54, No. 3, 611--622 (2011; Zbl 1217.34010) Full Text: DOI
Pulverer, Gernot; Söderlind, Gustaf; Weinmüller, Ewa Automatic grid control in adaptive BVP solvers. (English) Zbl 1206.65198 Numer. Algorithms 56, No. 1, 61-92 (2011). MSC: 65L50 65L10 34B15 34E15 65L70 PDFBibTeX XMLCite \textit{G. Pulverer} et al., Numer. Algorithms 56, No. 1, 61--92 (2011; Zbl 1206.65198) Full Text: DOI Link
Doha, E. H.; Abd-Elhameed, W. M. Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations. (English) Zbl 1169.65326 Math. Comput. Simul. 79, No. 11, 3221-3242 (2009). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Math. Comput. Simul. 79, No. 11, 3221--3242 (2009; Zbl 1169.65326) Full Text: DOI
McBain, G. D.; Chubb, T. H.; Armfield, S. W. Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature. (English) Zbl 1157.65433 J. Comput. Appl. Math. 224, No. 1, 397-404 (2009). MSC: 65L15 34L16 76E05 PDFBibTeX XMLCite \textit{G. D. McBain} et al., J. Comput. Appl. Math. 224, No. 1, 397--404 (2009; Zbl 1157.65433) Full Text: DOI
Chen, Long; Xu, Jinchao Stability and accuracy of adapted finite element methods for singularly perturbed problems. (English) Zbl 1146.65059 Numer. Math. 109, No. 2, 167-191 (2008). Reviewer: Srinivasan Natesan (Assam) MSC: 65L20 65L60 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{L. Chen} and \textit{J. Xu}, Numer. Math. 109, No. 2, 167--191 (2008; Zbl 1146.65059) Full Text: DOI
Budd, C.; Koch, O.; Weinmüller, E. Computation of self-similar solution profiles for the nonlinear Schrödinger equation. (English) Zbl 1122.65066 Computing 77, No. 4, 335-346 (2006). MSC: 65L10 34B40 34B15 35Q55 34L40 65L60 65L70 PDFBibTeX XMLCite \textit{C. Budd} et al., Computing 77, No. 4, 335--346 (2006; Zbl 1122.65066) Full Text: DOI
Christara, C. C.; Ng, Kit Sun Adaptive techniques for spline collocation. (English) Zbl 1086.65077 Computing 76, No. 3-4, 259-277 (2006). MSC: 65L10 65L20 65L50 65L60 65L70 34B05 PDFBibTeX XMLCite \textit{C. C. Christara} and \textit{K. S. Ng}, Computing 76, No. 3--4, 259--277 (2006; Zbl 1086.65077) Full Text: DOI
Sun, Jian-Qiang; Ma, Zhong-Qi; Qin, Meng-Zhao Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component. (English) Zbl 1144.65321 Appl. Math. Mech., Engl. Ed. 26, No. 1, 73-78 (2005). MSC: 65P10 34A45 22E45 PDFBibTeX XMLCite \textit{J.-Q. Sun} et al., Appl. Math. Mech., Engl. Ed. 26, No. 1, 73--78 (2005; Zbl 1144.65321) 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
Berrut, Jean-Paul; Mittelmann, Hans D. Optimized point shifts and poles in the linear rational pseudospectral method for boundary value problems. (English) Zbl 1070.65062 J. Comput. Phys. 204, No. 1, 292-301 (2005). MSC: 65L10 65L60 65L20 34B05 PDFBibTeX XMLCite \textit{J.-P. Berrut} and \textit{H. D. Mittelmann}, J. Comput. Phys. 204, No. 1, 292--301 (2005; Zbl 1070.65062) Full Text: DOI Link
García-López, C. M. Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations. (English) Zbl 1035.65103 Comput. Math. Appl. 45, No. 1-3, 351-381 (2003). MSC: 65M20 65L10 34B15 35K57 65L05 65L06 34A34 65M06 PDFBibTeX XMLCite \textit{C. M. García-López}, Comput. Math. Appl. 45, No. 1--3, 351--381 (2003; Zbl 1035.65103) Full Text: DOI
Wang, Y.; Zhao, Y. B.; Wei, G. W. A note on the numerical solution of high-order differential equations. (English) Zbl 1031.65087 J. Comput. Appl. Math. 159, No. 2, 387-398 (2003). MSC: 65L10 34B05 34L16 65L15 65L60 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Appl. Math. 159, No. 2, 387--398 (2003; Zbl 1031.65087) Full Text: DOI
Cano, B.; Durán, A. A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems. (English) Zbl 1029.65082 Math. Comput. 72, No. 244, 1803-1816 (2003). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L06 70-08 65L05 65L50 65L70 70F05 70H33 34A34 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, Math. Comput. 72, No. 244, 1803--1816 (2003; Zbl 1029.65082) Full Text: DOI
Cano, B.; Durán, A. Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones. (English) Zbl 1029.65081 Math. Comput. 72, No. 244, 1769-1801 (2003). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L06 65L50 65L20 34A34 70F05 70H33 34C25 65L70 65L05 70-08 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, Math. Comput. 72, No. 244, 1769--1801 (2003; Zbl 1029.65081) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash C. A survey of numerical techniques for solving singularly perturbed ordinary differential equations. (English) Zbl 1026.65059 Appl. Math. Comput. 130, No. 2-3, 457-510 (2002). MSC: 65L10 65L05 65-02 34B05 34A30 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Appl. Math. Comput. 130, No. 2--3, 457--510 (2002; Zbl 1026.65059) Full Text: DOI
Lang, A. W.; Sloan, D. M. Hermite collocation solution of near-singular problems using numerical coordinate transformations based on adaptivity. (English) Zbl 0997.65114 J. Comput. Appl. Math. 140, No. 1-2, 499-520 (2002). MSC: 65M70 65M06 65M50 65L50 65L10 65L12 65L60 34B05 35K15 PDFBibTeX XMLCite \textit{A. W. Lang} and \textit{D. M. Sloan}, J. Comput. Appl. Math. 140, No. 1--2, 499--520 (2002; Zbl 0997.65114) Full Text: DOI
Holder, Thomas; Leimkuhler, Ben; Reich, Sebastian Explicit variable step-size and time-reversible integration. (English) Zbl 0991.65060 Appl. Numer. Math. 39, No. 3-4, 367-377 (2001). MSC: 65L05 34A34 65L50 70F10 PDFBibTeX XMLCite \textit{T. Holder} et al., Appl. Numer. Math. 39, No. 3--4, 367--377 (2001; Zbl 0991.65060) Full Text: DOI
Budd, C. J.; Leimkuhler, B.; Piggott, M. D. Scaling invariance and adaptivity. (English) Zbl 0998.65070 Appl. Numer. Math. 39, No. 3-4, 261-288 (2001). Reviewer: A.Dishliev (Sofia) MSC: 65L05 65L50 34A34 65P10 37M10 PDFBibTeX XMLCite \textit{C. J. Budd} et al., Appl. Numer. Math. 39, No. 3--4, 261--288 (2001; Zbl 0998.65070) 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
Sun, W.; Liu, K. M. Iterative algorithms for nonlinear ordinary differential eigenvalue problems. (English) Zbl 0988.65056 Appl. Numer. Math. 38, No. 3, 361-376 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65L15 65L20 65L12 65L60 34L30 34L16 PDFBibTeX XMLCite \textit{W. Sun} and \textit{K. M. Liu}, Appl. Numer. Math. 38, No. 3, 361--376 (2001; Zbl 0988.65056) Full Text: DOI
Beckett, G.; Mackenzie, J. A. On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution. (English) Zbl 0984.65076 J. Comput. Appl. Math. 131, No. 1-2, 381-405 (2001). Reviewer: Qin Mengzhao (Beijing) MSC: 65L10 65L12 65L50 65L20 34B15 34E15 35K57 PDFBibTeX XMLCite \textit{G. Beckett} and \textit{J. A. Mackenzie}, J. Comput. Appl. Math. 131, No. 1--2, 381--405 (2001; Zbl 0984.65076) Full Text: DOI
Dorodnitsyn, Vladimir; Kozlov, Roman; Winternitz, Pavel Lie group classification of second-order ordinary difference equations. (English) Zbl 0981.39010 J. Math. Phys. 41, No. 1, 480-504 (2000). Reviewer: Peng Mingshu MSC: 39A12 22E99 34C14 PDFBibTeX XMLCite \textit{V. Dorodnitsyn} et al., J. Math. Phys. 41, No. 1, 480--504 (2000; Zbl 0981.39010) Full Text: DOI Link
Qiu, Y.; Sloan, D. M.; Tang, T. Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence. (English) Zbl 0977.65069 J. Comput. Appl. Math. 116, No. 1, 121-143 (2000). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34B05 34E15 65L70 65L12 PDFBibTeX XMLCite \textit{Y. Qiu} et al., J. Comput. Appl. Math. 116, No. 1, 121--143 (2000; Zbl 0977.65069) Full Text: DOI
Budd, Chris J.; Chen, Shaohua; Russell, Robert D. New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. (English) Zbl 0942.65085 J. Comput. Phys. 152, No. 2, 756-789 (1999). Reviewer: T.C.Mohan (Madras) MSC: 65L10 65L20 34L40 PDFBibTeX XMLCite \textit{C. J. Budd} et al., J. Comput. Phys. 152, No. 2, 756--789 (1999; Zbl 0942.65085) Full Text: DOI Link
Qiu, Y.; Sloan, D. M. Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid. (English) Zbl 0959.65087 J. Comput. Appl. Math. 101, No. 1-2, 1-25 (1999). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65L10 65L12 65L20 34B05 34E15 65L50 PDFBibTeX XMLCite \textit{Y. Qiu} and \textit{D. M. Sloan}, J. Comput. Appl. Math. 101, No. 1--2, 1--25 (1999; Zbl 0959.65087) Full Text: DOI
Ramos, J. I.; García-López, C. M. Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization. (English) Zbl 0907.65075 Appl. Math. Comput. 86, No. 1, 11-36 (1997). Reviewer: V.Makarov (Kyïv) MSC: 65L12 65L10 34B15 65M06 35K55 PDFBibTeX XMLCite \textit{J. I. Ramos} and \textit{C. M. García-López}, Appl. Math. Comput. 86, No. 1, 11--36 (1997; Zbl 0907.65075) Full Text: DOI