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Block Preconditioning Methods for Asymptotic Preserving Scheme Arising in Anisotropic Elliptic Problems
Efficient and robust iterative solvers for strongly anisotropic elliptic equations are very challenging. Indeed, the discretization of this class of...
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Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review
Hyperbolic systems with stiff relaxation constitute a wide class of evolutionary partial differential equations which describe several physical...
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Non-asymptotic superlinear convergence of standard quasi-Newton methods
In this paper, we study and prove the non-asymptotic superlinear convergence rate of the Broyden class of quasi-Newton algorithms which includes the...
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Asymptotic Errors in the Superconvergence of Discontinuous Galerkin Methods Based on Upwind-Biased Fluxes for 1D Linear Hyperbolic Equations
In this paper, we study the superconvergence of the semi-discrete discontinuous Galerkin (DG) method for linear hyperbolic equations in one spatial...
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The large-sample asymptotic behaviour of quartet-based summary methods for species tree inference
Summary methods seek to infer a species tree from a set of gene trees. A desirable property of such methods is that of statistical consistency; that...
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On the Asymptotic Convergence and Acceleration of Gradient Methods
We consider the asymptotic behavior of a family of gradient methods, which include the steepest descent and minimal gradient methods as special...
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A closed-form bound on the asymptotic linear convergence of iterative methods via fixed point analysis
In many iterative optimization methods, fixed-point theory enables the analysis of the convergence rate via the contraction factor associated with...
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Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications
AbstractThis work presents a review and analysis of modern asymptotic methods for analysis of singularly perturbed problems with interior and...
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On Some Asymptotic Expansions of Skew Diffusions
Relying on a perturbation technique of Markov semigroup, also known as the parametrix method, we establish some asymptotic expansion for the Markov...
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Asymptotic linear convergence of fully-corrective generalized conditional gradient methods
We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the minimization of the sum of a smooth, convex loss function and...
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Application of Asymptotic and Numerical Methods to Determine Stability Boundaries of Distributed Systems in a Flow
The reasons and the set of parameters leading to aeroelastic flutter vibrations in distributed systems (DS) are investigated on the basis of...
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Asymptotic Expansions and Summability Application to Partial Differential Equations
This book provides a comprehensive exploration of the theory of summability of formal power series with analytic coefficients at the origin of Cn,...
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Asymptotic Expansions
One of the techniques used in the latest case study (Section 3.7 ) is an asymptotic expansion of an...
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Some Asymptotic Properties of Solutions to Triharmonic Equations
The author considers an optimization problem for the triharmonic equation under specific boundary conditions. As a result, the triharmonic Poisson...
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Asymptotic Behavior of the Solutions of Stochastic Functional-Differential Equations
We study the asymptotic behavior at infinity of the solutions of stochastic functional-differential equations by the method of asymptotic equivalence...
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Asymptotic stability analysis of Runge–Kutta methods for differential-algebraic equations with multiple delays
This paper deals with asymptotic stability of differential-algebraic equations with multiple delays and numerical solutions generated by Runge–Kutta...
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To Integration of the Damped Mathieu Equation in the Monograph of N. N. Bogoliubov and Y. A. Mitropolsky “Asymptotic Methods in the Theory of Nonlinear Oscillations”
AbstractUsing the asymptotic method described in the monograph referred to in the title, expressions are obtained that determine the boundaries of...
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Asymptotic Justification of Equations for von Kármán Membrane Shells
AbstractThe objective of this work is to study the asymptotic justification of the two- dimensional equations for membrane shells with boundary...
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A nonstandard approach to asymptotic fixed point theorems
We use methods from nonstandard analysis to unify and extend results from the theory of asymptotic fixed points on metric spaces. Among the topics we...
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Asymptotic Inference in the Random Coefficient Autoregressive Model with Time-functional Variance Noises
This paper considers the random coefficient autoregressive model with time-functional variance noises, hereafter the RCA-TFV model. We first...