A Version of Essentially Nonoscillatory High-Order Accurate Difference Schemes for Systems of Conservation Laws

摘要

A version of an essentially nonoscillatory high-order accurate difference scheme for systems of conservation laws is proposed and based on norm minimization of the deviation of the interpolation polynomial from the integral cell average. This can result in a more monotonous solution as compared to conventional ENO and WENO methods of the respective order, which is justified by the results of numerical calculations for model problems.