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Auxiliary Functionals and Bodies
We assume in this chapter that a nondegenerate stationary Poisson hyperplane process is given, which has locally finite intensity measure and hence...
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Estimation of Population Mean Using Information on Two Auxiliary Attributes
AbstractThis manuscript considers the problem of estimating the population mean of the study variable y using information on two auxiliary attributes...
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Optimal Strategy for Improved Estimation of Population Variance Using Known Auxiliary Parameters
The information on auxiliary variables has been shown to be beneficial to improve the precision of study variable estimates. In this paper, an...
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A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations
This paper develops a generalized scalar auxiliary variable (SAV) method for the time-dependent Ginzburg-Landau equations. The backward Euler method...
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Auxiliary Materials
We shall use the following notation.
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Recovering the Sensitivity of an Auxiliary Information Based EWMA Mean Chart
AbstractThe classical EWMA chart has received considerable attention because of its sensitivity against small and moderate shifts that occur in the...
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Auxiliary particle filtering with lookahead support for univariate state space models
An essential type of Bayesian recursive filters known as the sequential Monte Carlo (alias, the particle filter) is used to estimate hidden Markov...
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Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex
This work develops optimal preconditioners for the discrete H (curl) and H (div) problems on two-dimensional surfaces by nodal auxiliary space...
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A Scalar Auxiliary Variable Unfitted FEM for the Surface Cahn–Hilliard Equation
The paper studies a scalar auxiliary variable (SAV) method to solve the Cahn–Hilliard equation with degenerate mobility posed on a smooth closed...
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The Proportional Mean Residual Life Regression Model with Cure Fraction and Auxiliary Covariate
As biological studies become more expensive to conduct, it is a frequently encountered question that how to take advantage of the available auxiliary...
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DC auxiliary principle methods for solving lexicographic equilibrium problems
In this paper, we present DC (difference of convex functions) auxiliary principle methods for solving lexicographic equilibrium problems. Under the...
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Homoclinic Orbits and Chaos in Nonlinear Dynamical Systems: Auxiliary Systems Method
AbstractThe auxiliary systems method in other words the method of two-dimensional comparison systems plays an essential role in the nonlocal...
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Some Auxiliary Results
In this chapter, we prove several technical results which were postponed in previous sections.
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Optimal Convergence of the Scalar Auxiliary Variable Finite Element Method for the Natural Convection Equations
This paper concerns an efficient finite element method for the natural convection equations with the scalar auxiliary variable approach. The linearly...
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A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques
Based on the auxiliary subspace techniques, a hierarchical basis a posteriori error estimator is proposed for the Stokes problem in two and three...
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Appendix: Some Auxiliary Results
This appendix collects some notions and results from convex geometry and stochastics that have been employed in the book.
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Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization
We present a flexible data-driven method for dynamical system analysis that does not require explicit model discovery. The method is rooted in...
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One Variant of the Objective Function Parameterization Method and Its Implementation
AbstractA method for solving the convex programming problem, which is conceptually close to the well-known method of parameterization of the...
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Common fixed point theorems for auxiliary functions with applications in fractional differential equation
In this work, we investigate h - ϕ contraction map**s with two metrics endowed with a directed graph which involve auxiliary functions. The...
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New contribution in fixed point theory via an auxiliary function with an application
In this paper, a new class of nonexpansive map**s is defined and some fixed point theorems for such newly type are proved in the setting of bounded...