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On the Randomized Bernstein Approximation Theorem and the Order of Approximation
AbstractThe Weierstrass Approximation Theorem provides an important result by approximating a given continuous function defined on a closed interval...
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Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes
AbstractIn this paper, we consider the problem of constructing a numerical solution to the system of equations of an acoustic medium in a fixed...
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Order of Approximation for Exponential Sampling Type Neural Network Operators
In the present article, we derive certain direct approximation results for the family of exponential sampling type neural network operators. The...
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High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities
Solutions to many important partial differential equations satisfy bounds constraints, but approximations computed by finite element or finite...
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Optimal approximation of analog PID controllers of complex fractional-order
Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to...
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Improved approximation algorithm for the parallel-machine customer order scheduling with delivery time and submodular rejection penalties
In this paper, we design a 2-approximation algorithm for the parallel-machine customer order scheduling with delivery time and submodular rejection...
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Compact Approximation of a Two-Dimensional Boundary Value Problem for Elliptic Equations of the Second Order with a Discontinuous Coefficient
AbstractFor an elliptic equation of the second order with variable discontinuous coefficients and the right side, a scheme of the fourth order of...
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High-Order Approximation of Set-Valued Functions
We introduce the notion of metric divided differences of set-valued functions. With this notion we obtain bounds on the error in set-valued metric...
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Several approximation algorithms for sparse best rank-1 approximation to higher-order tensors
Sparse tensor best rank-1 approximation (BR1Approx), which is a sparsity generalization of the dense tensor BR1Approx, and is a higher-order...
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Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations
AbstractA new test problem for one-dimensional gas dynamics equations is considered. Initial data in the problem is a periodic smooth wave. Shock...
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First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System
The paper focuses on first-order invariant-domain preserving approximations of hyperbolic systems. We propose a new way to estimate the artificial...
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Skew-Symmetric Difference Analogs of the Fourth-Order Approximation to the First Derivative
AbstractAssume that we have an initial–boundary value problem for a system of first-order hyperbolic equations that has an integral conservation...
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Grid Approximation of the Subdiffusion Equation with Variable Order Time Fractional Derivative
AbstractA grid approximation of the one-dimensional Dirichlet boundary value problem for an equation with a fractional time derivative with a...
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Approximation by Generalized Baskakov Kantorovich Operators of Arbitrary Order
This article addresses an improved Kantorovich form of the Baskakov type operators using arbitrary sequences. These operators preserve exponential...
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An approximation method to solve coupled system ODEs of order second using fuzzy transform
The present paper gives an alternative approximation method to find integrals of systems of ODEs using fuzzy transform (Fz-Tr). Especially, the new...
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Mixed Virtual Element Approximation of a Fourth Order Optimal Control Problem
AbstractIn this article, we study mixed virtual element methods for a distributed optimal control problem governed by a fourth order partial...
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Finite Difference Schemes of 4th Order Approximation for Maxwell’s Equations
AbstractIn this paper, optimal difference schemes for solving Maxwell’s equations using a Laquerre spectral transformation are considered. Additional...
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A Compact Coupling Interface Method with Second-Order Gradient Approximation for Elliptic Interface Problems
We propose the Compact Coupling Interface Method, a finite difference method capable of obtaining second-order accurate approximations of not only...
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The partially symmetric rank-1 approximation of fourth-order partially symmetric tensors
Finding the partially symmetric rank-1 approximation to a given fourth-order partially symmetric tensor has close relationship with its largest M -eige...
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A second-order nonlocal approximation for Poisson model with Dirichlet boundary
In this paper, we analyze a class of nonlocal Poisson model on manifold under Dirichlet boundary condition. To get second order convergence, the...
