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Analysis of a New NFV Scheme Preserving DMP for Two-Dimensional Sub-diffusion Equation on Distorted Meshes
In this paper, we describe a new nonlinear finite-volume scheme that preserves the discrete maximum principle (DMP) for the two-dimensional...
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A Corrected Inexact Proximal Augmented Lagrangian Method with a Relative Error Criterion for a Class of Group-Quadratic Regularized Optimal Transport Problems
The optimal transport (OT) problem and its related problems have attracted significant attention and have been extensively studied in various...
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Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model
The paper proposed the moving-water equilibrium nonstaggered central scheme for the Ripa model via the flux globalization. The traditional quadrature...
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Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems
We develop new multilevel Monte Carlo (MLMC) methods to estimate the expectation of the smallest eigenvalue of a stochastic convection–diffusion...
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A Second-Order SO(3)-Preserving and Energy-Stable Scheme for Orthonormal Frame Gradient Flow Model of Biaxial Nematic Liquid Crystals
In this paper, we present a novel second-order generalised rotational discrete gradient scheme for numerically approximating the orthonormal frame...
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Analysis of a Narrow-Stencil Finite Difference Method for Approximating Viscosity Solutions of Fully Nonlinear Second Order Parabolic PDEs
This paper approximates viscosity solutions of fully nonlinear second order parabolic PDEs by a narrow-stencil finite difference...
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Elucidating the semantics-topology trade-off for knowledge inference-based pharmacological discovery
Leveraging AI for synthesizing the deluge of biomedical knowledge has great potential for pharmacological discovery with applications including...
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Leveraging logical definitions and lexical features to detect missing IS-A relations in biomedical terminologies
Biomedical terminologies play a vital role in managing biomedical data. Missing IS-A relations in a biomedical terminology could be detrimental to...
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Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain
This paper presents a low-order spatial discretization to solve the Maxwell equations in the time-domain, namely: the Compatible Discrete Operator...
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High-Order Bound-Preserving Local Discontinuous Galerkin Methods for Incompressible and Immiscible Two-Phase Flows in Porous Media
In this paper, we develop high-order bound-preserving (BP) local discontinuous Galerkin methods for incompressible and immiscible two-phase flows in...
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Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations
We present fourth-order conservative non-splitting semi-Lagrangian (SL) Hermite essentially non-oscillatory (HWENO) schemes for linear transport...
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Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method
This paper presents a gradient-based approach for solving a switching time control problem under the two-phase porous media flow within petroleum...
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Enhanced Low-Rank Tensor Recovery Fusing Reweighted Tensor Correlated Total Variation Regularization for Image Denoising
Most current methods for image denoising exploit the global low-rankness and local smoothness priors of images to model them, including independent...
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Ontological representation, modeling, and analysis of parasite vaccines
BackgroundPathogenic parasites are responsible for multiple diseases, such as malaria and Chagas disease, in humans and livestock. Traditionally,...
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High Order Absolutely Convergent Fast Swee** Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal Equations
Fast swee** methods are a class of efficient iterative methods developed in the literature to solve steady-state solutions of hyperbolic partial...
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Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation
We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent...
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Comparing generative and extractive approaches to information extraction from abstracts describing randomized clinical trials
BackgroundSystematic reviews of Randomized Controlled Trials (RCTs) are an important part of the evidence-based medicine paradigm. However, the...
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An Ultra-weak Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for the KdV–Burgers–Kuramoto Equation
In this paper, we study an ultra-weak local discontinuous Galerkin (UWLDG) method for the KdV–Burgers–Kuramoto (KBK) type equation. While the...
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An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain
We consider a time-step** scheme of Crank–Nicolson type for the heat equation on a moving domain in Eulerian coordinates. As the spatial domain...
