Results 51 to 60 of about 4,580 (209)

Local convergence for an eighth order method for solving equations and systems of equations

Nonlinear Engineering, 2019
The aim of this study is to extend the applicability of an eighth convergence order method from the k−dimensional Euclidean space to a Banach space setting.
Argyros Ioannis K., George Santhosh
doaj   +1 more source

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley   +1 more source

Optimality and existence for Lipschitz equations

International Journal of Mathematics and Mathematical Sciences, 1988
Solutions of certain boundary value problems are shown to exist for the nth order differential equation y(n)=f(t,y,y′,…,y(n−1)), where f is continuous on a slab (a,b)×Rn and f satisfies a Lipschitz condition on the slab. Optimal length subintervals of (a,
Johnny Henderson
doaj   +1 more source

Weakly Convex Ridge Regularization for 3D Non‐Cartesian MRI Reconstruction

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose While highly accelerated non‐Cartesian acquisition protocols significantly reduce scan time, they often entail long reconstruction delays for 3D data. Deep learning–based reconstruction methods can alleviate this, but typically rely on complex, highly parametrized architectures.
German Shâma Wache, Chaithya G R, Asma Tanabene, Sebastian Neumayer   +3 more
wiley   +1 more source

About the Subgradient Method for Equilibrium Problems

Mathematics
Convergence results of the subgradient algorithm for equilibrium problems were mainly obtained using a Lipschitz continuity assumption on the given bifunctions. In this paper, we first provide a complexity result for monotone equilibrium problems without
Abdellatif Moudafi
doaj   +1 more source

Extragradient-like method for pseudomontone equilibrium problems on Hadamard manifolds

Journal of Inequalities and Applications, 2020
This paper presents an extragradient-like method for solving a pseudomonotone equilibrium problem with a Lipschitz-type condition on Hadamard manifolds. The algorithm only needs to know the existence of the Lipschitz-type constants of the bifunction, and
Junfeng Chen, Sanyang Liu
doaj   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

On the One-Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay

Journal of Applied Mathematics, 2012
Based on A-stable one-leg methods and linear interpolations, we introduce four algorithms for solving neutral differential equations with variable delay. A natural question is which algorithm is better.
Wansheng Wang, Shoufu Li
doaj   +1 more source

Impulsive stochastic fractional differential equations driven by fractional Brownian motion

Advances in Difference Equations, 2020
In this research, we study the existence and uniqueness results for a new class of stochastic fractional differential equations with impulses driven by a standard Brownian motion and an independent fractional Brownian motion with Hurst index 1 ...
Mahmoud Abouagwa, Feifei Cheng, Ji Li
doaj   +1 more source