Note on the von Neumann stability of the explicit FTCS convective diffusion equation

Keywords

Stability (learning theory), Mathematics, FTCS scheme, Mathematical analysis, Von Neumann architecture

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Cited by

• Large Time-Step Stability of Explicit One-Dimensional Advection SchemesB. P. Leonard — 1993
• Cost-effective accurate coarse-grid method for highly convective multidimensional unsteady flowsB. P. Leonard, H. S. Niknafs — 1991
• Notes on a finite differencing scheme for the dispersion equationF. Y. Su, G.T. Phillips, R. M. Traci — 1983
• The controversial stability analysisErcı́lia Sousa — 2003
• Mapping spatiotemporal diffusion inside the human brain using a numerical solution of the diffusion equation.Wang Zhan, Li Jiang, Murray H. Loew — 2008
• The stability of explicit Euler time‐integration for certain finite difference approximations of the multi‐dimensional advection–diffusion equationA.C. Hindmarsh, Philip Gresho, David F. Griffiths — 1984
• Stability of explicit advection schemes. The balance point location ruleB. P. Leonard — 2002
• MODELLING OF FLOW IN RECTANGULAR SEDIMENTATION TANKS BY AN EXPLICIT THIRD‐ORDER UPWINDING TECHNIQUEHany Gerges, John A. McCorquodale — 1997
• Stability of the explicit finite differenced transport equationSamuel Paolucci, D. R. Chenoweth — 1982
• Towards a general integration algorithm for time-dependent one-dimensional systems of parabolic partial differential equations using the method of linesA.H. Al-Rabeh — 1992
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equationsA. Brooks, Thomas J.R. Hughes — 1990
• Fourier analysis of several finite difference schemes for the one‐dimensional unsteady convection–diffusion equationJ.M.C. Pereira, J. C. F. Pereira, J. C. F. Pereira — 2001
• Numerical advection algorithms and their role in atmospheric transport and chemistry modelsRichard B. Rood — 1987
• Simple high-accuracy resolution program for convective modelling of discontinuitiesB. P. Leonard — 1988
• The cell Reynolds number mythH. Doyle Thompson, Brent W. Webb, Joe D. Hoffman — 1985
• Reducing numerical diffusion in interfacial gravity wave simulationsOliver B. Fringer, S.W. Armfield, Robert L. Street — 2005
• Note on the von Neumann stability of explicit one-dimensional advection schemesB. P. Leonard — 1994
• Stability analysis of finite difference schemes for two‐dimensional advection‐diffusion problemsAlain Rigal — 1991
• An approach for velocity and position estimation through acceleration measurementsBehrooz Lotfi, Loulin Huang — 2016
• Experimental study on the curve evolution method for noise filtering in the inertial state estimationLoulin Huang, Behrooz Lotfi — 2017

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