Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions
Journal of Applied Mathematics, 2023 The fifth-order accurate Weighted Essentially Nonoscillatory space discretization developed by Jiang and Shu (WENO-JS) is studied theoretically. An exact Nonlinear Spectral Method (NSM) is developed based on an innovative yet simple methodology.
Tamer H. M. A. Kasem
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On the approximation of dam-break problems using a fuzzified HR-TVD scheme
MethodsX, 2023 The construction of the proposed second-order accurate scheme is based on the Monotonic Upstream Schemes for Conservation Laws (MUSCL) strategy. Using some strong notions from fuzzy logic, like fuzzy modifiers and fuzzy inference systems, the work offers
Ruchika Lochab, Vivek Kumar
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An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
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A geometric proof for the variation diminishing property of B-spline approximation [PDF]
, 1983 A geometric proof for the variation diminishing property of B-spline approximation is given. The proof is based primarily upon a generalized form of the de Boor-Cox algorithm and the intuitively obvious fact that piecewise linear interpolation is ...
Lane, Jeffrey M, Riesenfeld, Richard F
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Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions
International Journal of Mathematics and Mathematical Sciences, 1979 We obtain upper bounds on the number of sign changes of linear combinations of derivatives and convolutions of Polya frequency functions using the variation diminishing properties of totally positive functions.
Steven Nahmias, Frank Proschan
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Planet-Disk Interaction revisited
EPJ Web of Conferences, 2013 We present results on our investigations of planet–disk interaction in protoplanetary disks. For the hydrodynamic simulations we use a second order semi–discrete total variation diminishing (TVD) scheme for systems of hyperbolic conservation laws on ...
Illenseer T. F. +2 more
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Image Smoothing via Truncated Total Variation
IEEE Access, 2017 We present a new regularizer for image smoothing which is particularly effective for diminishing insignificant details, while preserving salient edges. The proposed regularizer relates in spirit to total variation which penalizes all the gradients, while
Zeyang Dou +3 more
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Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes [PDF]
SIAM Journal on Numerical Analysis, 1988 Scalar conservation laws \(u(x,t)_ t+[f(u(x,t))]_ x=0\) are considered and discrete difference approximations are proposed and studied which produce approximate solutions having the property that their total variation diminishes. Thus alternative characterizations of such difference schemes are provided, and it is shown that the total variation of a ...
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Development of High-Resolution Total Variation Diminishing Scheme for Linear Hyperbolic Problems [PDF]
Journal of Computational Engineering, 2015 A high-resolution, total variation diminishing (TVD) stable scheme is derived for scalar hyperbolic problems using the method of flux limiters. The scheme was constructed by combining the 1st-order upwind scheme and the 3rd-order quadratic upstream interpolation scheme (QUICK) using new flux limiter function.
Rabie A. Abu Saleem, Tomasz Kozlowski
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Development of a total variation diminishing (TVD) sea ice transport scheme and its application in an ocean (SCHISM v5.11) and sea ice (Icepack v1.3.4) coupled model on unstructured grids [PDF]
Geoscientific Model DevelopmentAs the demand for increased resolution and complexity in unstructured sea ice models is growing, higher demands are also placed on the sea ice transport scheme. In this study, we couple the Semi-implicit Cross-scale Hydro-science Integrated System Model (
Q. Wang +7 more
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