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A Numerical Scheme for Evacuation Dynamics
2020We give a stability condition for a semi–implicit numerical scheme and prove unconditional stability for an implicit scheme for a nonlinear advection – diffusion equation, meant as a model of crowd dynamics. Numerical stability is given for a wider class of equations and schemes.
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On Some Properties of KIVA Numerical Schemes
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1992AbstractIn this paper numerical schemes of the KIVA code for fluid dynamics modeling will be analyzed. In particular consistency and accuracy will be proved. Attention will be paid to the effects of the grid on the numerical properties of the schemes. Moreover, numerical examples will be given in order to show the actual influence of the choice of the ...
U Amato, F Petrillo
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An efficient numerical scheme for Burgers' equation
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Y. C. Hon, X. Z. Mao
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Convergence of a Numerical Scheme for Stratigraphic Modeling
SIAM Journal on Numerical Analysis, 2005A numerical scheme based on implicit time integration and cell centered finite volume method is proposed for stratigraphic modeling. Convergence to a weak solution is proved.
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A numerical scheme for the Green–Naghdi model
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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