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An Implicit Iteration Method for Solving Linear Ill-Posed Operator Equations
AbstractIn this work, we study a new implicit method to computing the solutions of ill-posed linear operator equations of the first kind under the...
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Implicit interpolation method for immersed boundary methods
Immersed boundary (IB) methods have been successfully implemented for different applications. This paper focuses on the immersed boundary...
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A linearized method for solving tensor complementarity problems with implicit Z-tensors
In this paper, some properties of implicit Z -tensors are studied, and it is proved that an implicit Z -tensor is a nonsingular implicit M -tensor if...
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The High-Order Variable-Coefficient Explicit-Implicit-Null Method for Diffusion and Dispersion Equations
For the high-order diffusion and dispersion equations, the general practice of the explicit-implicit-null (EIN) method is to add and subtract an...
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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics
The authors prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful...
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Low-rank generalized alternating direction implicit iteration method for solving matrix equations
This paper presents an effective low-rank generalized alternating direction implicit iteration (R-GADI) method for solving large-scale sparse and...
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A Semi-Implicit Numerical Method for Differentially Rotating Compressible Flows
AbstractIn astrophysical fluid dynamics, some types of flows, like e.g., magnetorotational supernova explosions, deal with a highly variable Mach...
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A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces. The...
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Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem
AbstractIn order to solve a parabolic variational inequality with a nonlocal spatial operator and a one-sided constraint on the solution, a numerical...
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Alternative Direction Implicit Method for Solving First Order 2D Hyperbolic Delay Differential Equations
AbstractThis article considers delayed two-dimensional first order hyperbolic differential equations. The propagation of the discontinuity of the...
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Numerical analysis of linearly implicit Euler method for age-structured SIS model
In this paper, we consider a numerical threshold for a coupled age-structured SIS epidemic model. We deal with the existence, convergence and...
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Stability Domains of an Implicit Method for the Numerical Solution of Abel Type Integral Algebraic Equations
AbstractThis article is devoted to a study of the properties of an implicit method for Abel type integral algebraic equations. An Abel type integral...
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A fixed point iterative method for tensor complementarity problems with the implicit Z-tensors
In this paper, we consider solving the tensor complementarity problem (TCP). We first introduce the concept of the implicit Z -tensor, which is a...
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Implicit Hybrid Grid-Characteristic Method for Modeling Dynamic Processes in Acoustic Medium
AbstractThe paper discusses the process of develo** an implicit second-order grid-characteristic method taking into account conditions at the...
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Projection Based Semi-Implicit Partitioned Reduced Basis Method for Fluid-Structure Interaction Problems
In this manuscript a POD-Galerkin based Reduced Order Model for unsteady Fluid-Structure Interaction problems is presented. The model is based on a...
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Method of Implicit Functions in the Solution of Multiparameter Nonlinear Spectral Problems
We propose a new numerical method for the solution of multiparameter nonlinear spectral problems of dimension m for the holomorphic operator...
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Complexity guarantees for an implicit smoothing-enabled method for stochastic MPECs
Mathematical programs with equilibrium constraints (MPECs) represent a class of hierarchical programs that allow for modeling problems in...
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A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
In this paper, we introduce a proximal point-type of viscosity iterative method with double implicit midpoint rule comprising of a nonexpansive...
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A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers
We propose a second-order accurate semi-implicit and well-balanced finite volume scheme for the equations of ideal magnetohydrodynamics including...
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The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems
In this paper, we discuss a modulus-based matrix splitting iteration method for solving the implicit complementarity problems and propose the...
