Displaying similar documents to “On monotone difference schemes for weakly coupled systems of partial differential equations”

A note on (2K+1)-point conservative monotone schemes

Huazhong Tang, Gerald Warnecke (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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First–order accurate monotone conservative schemes have good convergence and stability properties, and thus play a very important role in designing modern high resolution shock-capturing schemes. This note will investigate this problem from a numerical point of view and show that a -point monotone scheme may give an oscillatory solution even though the approximate solution is total variation diminishing, and satisfies maximum principle as well as discrete entropy inequality. ...

A note on ( 2 𝖪 + 1 ) -point conservative monotone schemes

Huazhong Tang, Gerald Warnecke (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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First–order accurate monotone conservative schemes have good convergence and stability properties, and thus play a very important role in designing modern high resolution shock-capturing schemes. Do the monotone difference approximations always give a good numerical solution in sense of monotonicity preservation or suppression of oscillations? This note will investigate this problem from a numerical point of view and show that a ( 2 K + 1 ) -point monotone scheme may give an oscillatory solution...

An existence result for nonlinear evolution equations of second order

Dimitrios A. Kandilakis (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.