A Low‐Dissipation Hybrid Fourth‐Order Center‐Upwind WENO Scheme With Virtual Sub‐Stencil for Compressible Flows
Sign Up to like & getrecommendations! Published in 2025 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.5384
Abstract: In this paper, a novel fourth‐order center‐upwind WENO scheme is proposed for the fifth‐order WENO (Weighted Essentially Non‐Oscillatory) scheme with innovative improvements. This scheme achieves an effective reduction in numerical dissipation and a significant improvement… read more here.
Keywords: scheme; sub stencil; fourth order; dissipation ... See more keywords
Oscillatory solutions of fourth order advanced trinomial differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800515
Abstract: The paper deals with the oscillatory behavior of the fourth‐order linear three‐terms advanced differential equation of the form y(4)(t)+p(t)y′(t)+q(t)y(σ(t))=0.Assuming that all solutions of the auxiliary third‐order differential equation z′′′(t)+p(t)z(t)=0are nonoscillatory, two types of easily verifiable… read more here.
Keywords: oscillatory solutions; order; fourth order; advanced trinomial ... See more keywords
On multiple solutions for a fourth order nonlinear singular boundary value problems arising in epitaxial growth theory
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7119
Abstract: In this article, we consider the fourth order non‐self‐adjoint singular boundary value problem 1rr1rrϕ′′′′=ϕ′ϕ″r+λ, with λ as a parameter measures the speed at which new particles are deposited. This differential equation is non‐self‐adjoint, so finding… read more here.
Keywords: boundary value; fourth order; value; singular boundary ... See more keywords
Multiple Positive Solutions of a Fourth-order Boundary Value Problem
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0843-8
Abstract: We consider the nonlinear fourth-order semipositone boundary value problem $$\begin{aligned} u^{(4)}=f(t,u(t),u'(t)), \quad t \in (0,1), \end{aligned}$$u(4)=f(t,u(t),u′(t)),t∈(0,1),$$\begin{aligned} u(0)=u'(0)=u''(1)=u'''(1)=0, \end{aligned}$$u(0)=u′(0)=u′′(1)=u′′′(1)=0,where $$f: [0,1] \times [0,\infty ) \times [0, \infty ) \rightarrow (-\infty , \infty )$$f:[0,1]×[0,∞)×[0,∞)→(-∞,∞) has the property… read more here.
Keywords: fourth order; value problem; boundary value;
A Convergent Lagrangian Discretization for a Nonlinear Fourth-Order Equation
Sign Up to like & getrecommendations! Published in 2017 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-015-9284-6
Abstract: A fully discrete Lagrangian scheme for numerical solution of the nonlinear fourth-order DLSS equation in one space dimension is analyzed. The discretization is based on the equation’s gradient flow structure in the $$L^2$$L2-Wasserstein metric. By… read more here.
Keywords: convergent lagrangian; discretization; fourth order; equation ... See more keywords
HARDI Segmentation via Fourth-Order Tensors and Anisotropy Preserving Similarity Measures
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-019-00897-w
Abstract: In this work, we discuss the higher-order tensors appearing in high angular resolution diffusion tensor imaging, and we have tested two segmentation methods, the Riemannian spectral clustering and the deformable models, using several projections of… read more here.
Keywords: order; order tensors; segmentation; fourth order ... See more keywords
An Effective Dissipation-Preserving Fourth-Order Difference Solver for Fractional-in-Space Nonlinear Wave Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00921-6
Abstract: In this paper, we devise an efficient dissipation-preserving fourth-order difference solver for the fractional-in-space nonlinear wave equations. First of all, we present a detailed derivation of the discrete energy dissipation property of the system. Then,… read more here.
Keywords: dissipation; preserving fourth; fourth order; order difference ... See more keywords
A Posteriori Error Estimators for Fourth Order Elliptic Problems with Concentrated Loads
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-025-03089-4
Abstract: In this paper, we study two residual-based a posteriori error estimators for the C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^0$$\end{document} interior penalty method in solving the biharmonic equation in a polygonal domain… read more here.
Keywords: posteriori error; error estimators; fourth order; order elliptic ... See more keywords
Contextual adaptive fourth-order smoothing
Sign Up to like & getrecommendations! Published in 2020 at "Multimedia Tools and Applications"
DOI: 10.1007/s11042-020-08702-2
Abstract: This paper aims to propose a novel contextual adaptive fourth-order smoothing method for noise removal. The classical Laplacian operator is first modified into a multi-scale and robust form, which combines two distinct discontinuity measures simultaneously,… read more here.
Keywords: order smoothing; contextual adaptive; method; fourth order ... See more keywords
A novel fourth order chaotic system and its algorithm for medical image encryption
Sign Up to like & getrecommendations! Published in 2019 at "Multidimensional Systems and Signal Processing"
DOI: 10.1007/s11045-018-0622-0
Abstract: Today, medical imaging suffers from serious issues such as malicious tampering and privacy leakage. Encryption is an effective way to protect these images from security threats. Chaos has been widely used in image encryption, the… read more here.
Keywords: system; fourth order; image encryption; novel fourth ... See more keywords
Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05354-2
Abstract: We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results is that one ends up… read more here.
Keywords: dinger equation; nonlinear schr; nonlocal nonlinear; fourth order ... See more keywords