Hashemi, Soheil; Abdolali, Ali Fast and stable numerical method for neuronal modelling. (English) Zbl 1510.92043 Commun. Nonlinear Sci. Numer. Simul. 40, 189-196 (2016). MSC: 92C20 65M06 PDFBibTeX XMLCite \textit{S. Hashemi} and \textit{A. Abdolali}, Commun. Nonlinear Sci. Numer. Simul. 40, 189--196 (2016; Zbl 1510.92043) Full Text: DOI
Cristescu, Ion Aurel On the convergence of the backward Euler algorithm for the multidimensional heat equation. (English) Zbl 1327.35127 Appl. Math. 41, No. 4, 351-360 (2014). MSC: 35K05 35A15 65M60 PDFBibTeX XMLCite \textit{I. A. Cristescu}, Appl. Math. 41, No. 4, 351--360 (2014; Zbl 1327.35127) Full Text: DOI
Cannon, John R.; Galiffa, Daniel J. On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem. (English) Zbl 1236.34028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1702-1713 (2011). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34B15 65L10 47N20 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{D. J. Galiffa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1702--1713 (2011; Zbl 1236.34028) Full Text: DOI
Cannon, J. R.; Galiffa, D. J. A numerical method for a nonlocal elliptic boundary value problem. (English) Zbl 1149.65099 J. Integral Equations Appl. 20, No. 2, 243-261 (2008). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{D. J. Galiffa}, J. Integral Equations Appl. 20, No. 2, 243--261 (2008; Zbl 1149.65099) Full Text: DOI
Neta, Beny; Williams, R. T. Stability and phase speed for various finite element formulations of the advection equation. (English) Zbl 0613.76099 Comput. Fluids 14, 393-410 (1986). MSC: 76R50 76M99 PDFBibTeX XMLCite \textit{B. Neta} and \textit{R. T. Williams}, Comput. Fluids 14, 393--410 (1986; Zbl 0613.76099) Full Text: DOI
Dougalis, Vassilios A.; Serbin, Steven M. On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations. (English) Zbl 0473.65075 Comput. Math. Appl. 7, 261-279 (1981). MSC: 65N30 65N15 35L20 PDFBibTeX XMLCite \textit{V. A. Dougalis} and \textit{S. M. Serbin}, Comput. Math. Appl. 7, 261--279 (1981; Zbl 0473.65075) Full Text: DOI
Jain, M. K.; Iyengar, S. R. K.; Lone, A. G. Multilevel difference schemes for the heat conduction equation and its application to the Dirichlet problem in two and three dimensions. (English) Zbl 0433.65051 Calcolo 16, 157-180 (1979). MSC: 65N06 35K05 35J05 65M06 65M12 PDFBibTeX XMLCite \textit{M. K. Jain} et al., Calcolo 16, 157--180 (1979; Zbl 0433.65051) Full Text: DOI
Nitsche, Joachim A. \(L_\infty\)-convergence of finite element Galerkin approximations for parabolic problems. (English) Zbl 0401.65069 RAIRO, Anal. Numér. 13, 31-54 (1979). MSC: 65N30 65N15 35K15 35K20 PDFBibTeX XMLCite \textit{J. A. Nitsche}, RAIRO, Anal. Numér. 13, 31--54 (1979; Zbl 0401.65069) Full Text: DOI EuDML
Giese, J. H.; Khalil, H. M.; Ulery, D. L. Multiparameter families of difference approximations for the first initial boundary value problem for the heat equation in an arbitrary region. (English) Zbl 0411.65056 J. Eng. Math. 12, 97-114 (1978). MSC: 65N06 35K05 65M06 PDFBibTeX XMLCite \textit{J. H. Giese} et al., J. Eng. Math. 12, 97--114 (1978; Zbl 0411.65056) Full Text: DOI
Swartz, Blair Comparing certain classes of difference and finite element methods for a hyperbolic problem. (English) Zbl 0302.65082 AICA 17, 95-97 (1975). MSC: 65N30 65N06 65N12 65N15 PDFBibTeX XMLCite \textit{B. Swartz}, AICA 17, 95--97 (1975; Zbl 0302.65082)
Fairweather, G.; Johnson, J. P. On the extrapolation of Galerkin methods for parabolic problems. (English) Zbl 0282.65080 Numer. Math. 23, 269-287 (1975). MSC: 65N30 PDFBibTeX XMLCite \textit{G. Fairweather} and \textit{J. P. Johnson}, Numer. Math. 23, 269--287 (1975; Zbl 0282.65080) Full Text: DOI EuDML
Ford, William H.; Ting, T. W. Stability and convergence of difference approximations to pseudo-parabolic partial differential equations. (English) Zbl 0271.65053 Math. Comput. 27, 737-743 (1973). MSC: 65M12 PDFBibTeX XMLCite \textit{W. H. Ford} and \textit{T. W. Ting}, Math. Comput. 27, 737--743 (1973; Zbl 0271.65053) Full Text: DOI
Gorenflo, R. Differenzenschemata monotoner Art für schwach gekoppelte Systeme parabolischer Differentialgleichungen mit gemischten Randbedingungen. (German) Zbl 0241.65070 Computing 8, 343-362 (1971). MSC: 65N12 35K55 PDFBibTeX XMLCite \textit{R. Gorenflo}, Computing 8, 343--362 (1971; Zbl 0241.65070) Full Text: DOI
Carasso, A. A posteriori bounds in the numerical solution of mildly nonlinear parabolic equations. (English) Zbl 0216.23501 Math. Comput. 24, 785-792 (1970). MSC: 65M15 65M06 35K55 PDFBibTeX XMLCite \textit{A. Carasso}, Math. Comput. 24, 785--792 (1970; Zbl 0216.23501) Full Text: DOI
Prasad, K. Krishna; Hering, R. G. Numerical integration of a nonlinear, singular integro-partial differential equation. (English) Zbl 0211.19404 J. Comput. Phys. 6, 406-416 (1970). MSC: 65R20 65N99 45K05 PDFBibTeX XMLCite \textit{K. K. Prasad} and \textit{R. G. Hering}, J. Comput. Phys. 6, 406--416 (1970; Zbl 0211.19404) Full Text: DOI
Lees, M. A linear three-level difference scheme for quasilinear parabolic equations. (English) Zbl 0196.50502 Math. Comput. 20, 516-522 (1966). PDFBibTeX XMLCite \textit{M. Lees}, Math. Comput. 20, 516--522 (1966; Zbl 0196.50502) Full Text: DOI
Douglas, Jim jun.; Gunn, J. E. A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. (English) Zbl 0141.33103 Numer. Math. 6, 428-453 (1964). PDFBibTeX XMLCite \textit{J. Douglas jun.} and \textit{J. E. Gunn}, Numer. Math. 6, 428--453 (1964; Zbl 0141.33103) Full Text: DOI EuDML
Batten, G. W. jun. Second-order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations. (English) Zbl 0133.38601 Math. Comput. 17, 405-413 (1963). PDFBibTeX XMLCite \textit{G. W. Batten jun.}, Math. Comput. 17, 405--413 (1963; Zbl 0133.38601) Full Text: DOI
Douglas, Jim jun.; Gunn, J. E. Two high-order correct difference analogues for the equation of multidimensional heat flow. (English) Zbl 0116.09105 Math. Comput. 17, 71-80 (1963). PDFBibTeX XMLCite \textit{J. Douglas jun.} and \textit{J. E. Gunn}, Math. Comput. 17, 71--80 (1963; Zbl 0116.09105) Full Text: DOI
Lions, J. L. Sur l’approximation des solutions de certains problèmes aux limites. (French) Zbl 0107.30702 Rend. Sem. Mat. Univ. Padova 32, 3-54 (1962). PDFBibTeX XMLCite \textit{J. L. Lions}, Rend. Semin. Mat. Univ. Padova 32, 3--54 (1962; Zbl 0107.30702) Full Text: Numdam EuDML
Douglas, Jim jun. Alternating direction methods for three space variables. (English) Zbl 0104.35001 Numer. Math. 4, 41-63 (1962). PDFBibTeX XMLCite \textit{J. Douglas jun.}, Numer. Math. 4, 41--63 (1962; Zbl 0104.35001) Full Text: DOI EuDML