Articles with "nonlinear scheme" as a keyword



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A multi-resolution weighted compact nonlinear scheme for hyperbolic conservation laws

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Published in 2020 at "International Journal of Computational Fluid Dynamics"

DOI: 10.1080/10618562.2020.1722807

Abstract: ABSTRACT A typical weighted compact nonlinear scheme (WCNS) uses a convex combination of several low-order polynomials approximated over selected candidate stencils of the same width, achieving non-oscillatory interpolation near discontinuities and high-order accuracy for smooth… read more here.

Keywords: resolution; order; compact nonlinear; weighted compact ... See more keywords
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Extending the Domain with Application of Four-Step Nonlinear Scheme with Average Lipschitz Conditions

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11081774

Abstract: A novel local and semi-local convergence theorem for the four-step nonlinear scheme is presented. Earlier studies on local convergence were conducted without particular assumption on Lipschitz constant. In first part, the main local convergence theorems… read more here.

Keywords: step nonlinear; average lipschitz; local convergence; four step ... See more keywords