The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

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

Similarity:

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

Similarity:

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

Similarity:

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.