By R. Keith Dennis

ISBN-10: 0387119655

ISBN-13: 9780387119656

ISBN-10: 3540119655

ISBN-13: 9783540119654

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Exponential decay towards equilibrium for the inhomogeneous aizenman-bak model. Comm. Math. Phys. 278(2), 433–451 (2008) 7. : Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Discrete Contin. Dyn. Syst. Ser. B 6(5), 1027–1050 (2006) 8. : Positive entropic schemes for a nonlinear fourth-order parabolic equation. Discrete Contin. Dyn. Syst. Ser. B 3(1), 1–20 (2003) 9. : Asymptotic l 1 -decay of solutions of the porous medium equation to self-similarity.

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To prove the convergence of the numerical method, it remains to pass to the limit in the scheme and by this way prove that the limit of the sequence of approximate solutions is a weak solution to (Pρ ). It can be done as in [11], but dealing with the Scharfetter-Gummel fluxes as in [3]. 4 Some Numerical Experiments We illustrate now the stability of the fully implicit Scharfetter-Gummel scheme for all nonnegative values of the rescaled Debye length ρ. Therefore, we consider a one dimensional test case on π = (0, 1).

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Algebraic K-theory: Proceedings of a conference held at Oberwolfach, June 1980, Part I by R. Keith Dennis


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