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A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics
In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method with discontinuous Galerkin (DG) discretization for...
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Conservative Parametric Optimality and the Ridge Method for Tame Min-Max Problems
We study the ridge method for min-max problems, and investigate its convergence without any convexity, differentiability or qualification assumption....
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A Conservative Eulerian–Lagrangian Runge–Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Step**
We propose an Eulerian–Lagrangian (EL) Runge–Kutta (RK) discontinuous Galerkin (DG) method for a linear hyperbolic system. The method is designed...
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Convergence Analysis of the Fully Discrete Projection Method for Inductionless Magnetohydrodynamics System Based on Charge Conservation
In this paper, we focus on a finite element projection method for inductionless magnetohydrodynamics equations. A fully discrete projection method...
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An Adaptive Conservative Moving Mesh Method
We present an adaptive moving mesh strategy endowed with a mass conservation property for the numerical solution of the two-dimensional linear...
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Projection-Grid Schemes on Irregular Grids for a Parabolic Equation
AbstractA family of projection-grid schemes has been constructed for approximating parabolic equations with a variable diffusion coefficient in...
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Locking-Free and Locally-Conservative Enriched Galerkin Method for Poroelasticity
This paper develops a new coupled enriched Galerkin (EG) scheme for Biot’s poroelasticity model based on the displacement-pressure formulation. The...
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Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
We generalize the idea of relaxation time step** methods in order to preserve multiple nonlinear conserved quantities of a dynamical system by...
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A Robust and Mass Conservative Virtual Element Method for Linear Three-field Poroelasticity
We present and analyze a robust and mass conservative virtual element method for the three-field formulation of Biot’s consolidation problem in...
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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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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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Randomized Kaczmarz algorithm with averaging and block projection
The randomized Kaczmarz algorithm is a simple iterative method for solving linear systems of equations. This study proposes a variant of the...
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Improved randomized approaches to the location of a conservative hyperplane
This paper presents improved approaches to the treatment of combinatorial challenges associated with the search process for conservative cuts arising...
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On a conservative partition refinement (CPR) method for a class of two-stage stochastic programming problems
Two-stage stochastic programming is a mathematical framework widely used in real-life applications such as power system operation planning, supply...
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A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework
A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A...
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Abstract Quasi-Variational Evolution Inclusions on Real Hilbert Spaces with Conservative Quantities
In the present paper, we consider a conservative evolution inclusion on a real Hilbert space with quasi-variational structures for not only...
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Locally Conservative Immersed Finite Element Method for Elliptic Interface Problems
In this paper, we introduce a locally conservative enriched immersed finite element method (EIFEM) to tackle the elliptic problem with interface. The...
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A Projection Approach to Monotonic Regression with Bernstein Polynomials
Monotonic regression problems have been widely seen in many fields like economics and biostatistics. Usually the monotonic parameter space is used by...
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An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics
Liouville’s equation on phase space in geometrical optics describes the evolution of an energy distribution through an optical system, which is...
