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A SIR epidemic model on a refining spatial grid II-central limit theorem
A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by...
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Stable Determination of the Initial Data in an IBVP for the Wave Equation Outside a Non-trap** Obstacle
We establish a double logarithmic stability inequality for the problem of determining the initial data in an IBVP for the wave equation outside a...
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Semi-active dam** optimization of vibrational systems using the reduced basis method
In this article, we consider vibrational systems with semi-active dam** that are described by a second-order model. In order to minimize the...
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Entropy-Conservative Discontinuous Galerkin Methods for the Shallow Water Equations with Uncertainty
In this paper, we develop an entropy-conservative discontinuous Galerkin (DG) method for the shallow water (SW) equation with random inputs. One of...
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Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products
Higher order finite difference Weighted Essentially Non-oscillatory (WENO) schemes for conservation laws represent a technology that has been...
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The Regularized Block GMERR Method and Its Simpler Version for Solving Large-Scale Linear Discrete Ill-Posed Problems
Based on the block Arnoldi process and minimizing the Frobenius norm of the error, the block generalized minimal error (GMERR) method and its simpler...
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A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system
This paper is devoted to the numerical approximations of the Cahn-Hilliard-Darcy-Stokes system, which is a combination of the modified Cahn-Hilliard...
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Parameterized QHSS Iteration Method and Its Variants for Non-Hermitian Positive Definite Linear Systems of Strong Skew-Hermitian Parts
Based on the quasi-Hermitian and skew-Hermitian splitting (QHSS) iteration method proposed by Bai for solving the large sparse non-Hermitian positive...
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Entropy and Non-Fourier Flux on Hydro-magnetic Flow Among Nonlinearly Radiated Porous Micro Walls Filled with Blood-Based Different Shaped Ternary Nanoparticles
This research delves into the intricate dynamics of a pulsating hydromagnetic flow of a micropolar ternary hybrid nanofluid between two vertical...
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A Novel Technique to Detect an Optimal Two Layer Supply Chain Model for Imperfect Items Under Various Neutrosophic Environment
The paper has devised a two-echelon supply chain model that involves a single vendor and a single buyer dealing with defective items. It is observed...
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Approximation in the extended functional tensor train format
This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product...
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Application of Homotopy Perturbation Method to Analyzing Thermal Behavior of Moving Longitudinal Fins with Various Profiles
The homotopy perturbation method (HPM) was applied to analyze the thermal behavior of longitudinal radiative-convective moving fins with trapezoidal,...
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Inverse Lax-Wendroff Boundary Treatment of Discontinuous Galerkin Method for 1D Conservation Laws
In this paper, we propose a new class of discontinuous Galerkin (DG) methods for solving 1D conservation laws on unfitted meshes. The standard DG...
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A Semi-implicit Finite Volume Scheme for Incompressible Two-Phase Flows
This paper presents a mass and momentum conservative semi-implicit finite volume (FV) scheme for complex non-hydrostatic free surface flows,...
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Forced Convection in a Horizontal Channel Embedded in a Bidisperse Porous Medium (BDPM) with Heat Source and Thermal Radiation
This study focuses on forced convection in a horizontal channel that contains a porous medium consisting of two different particle sizes, known as a...
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An optimal control framework for adaptive neural ODEs
In recent years, the notion of neural ODEs has connected deep learning with the field of ODEs and optimal control. In this setting, neural networks...
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Analysis of Natural Daftardar–Jafari Method for Fractional Delay Differential Equations
The decomposition methods such as Daftardar–Jafari method (DJM) have been applied previously to obtain a solution of the fractional differential...
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A Low-Rank Global Krylov Squared Smith Method for Solving Large-Scale Stein Matrix Equation
This paper deals with the numerical solution of the large-scale Stein and discrete-time Lyapunov matrix equations. Based on the global Arnoldi...