This paper provides theoretical justification that Anderson acceleration (AA) improves the
convergence rate of contractive fixed-point iterations in the vicinity of a fixed-point. AA has …

Cell-based diagnosis and the introduction of personalized drugs are key factors, motivating
researchers to discover an efficacious tool for effective cell isolation. Optimal systems were …

A one-step analysis of Anderson acceleration with general algorithmic depths is presented.
The resulting residual bounds within both contractive and noncontractive settings reveal the …

This paper considers the effect of Anderson acceleration (AA) on the convergence order of
nonlinear solvers in fixed point form xk+ 1= g (xk), that are looking for a fixed point x∗ of g …

Since the beginning of the COVID-19 pandemic, nearly most confirmed cases develop
respiratory syndromes. Using targeted drug delivery by microcarriers is one of the most …

This work introduces, analyzes, and demonstrates an efficient and theoretically sound
filtering strategy to ensure the condition of the least-squares problem solved at each iteration …

Picard Iteration is a widely used coupling method for multiphysics simulations. This method
allows one to directly leverage existing and well-developed single-physics programs without …

This book on solvers for nonlinear equations is a user-oriented guide to algorithms and
implementation. It is a sequel to [111], which used MATLAB for the solvers and examples …

This article is about numerical methods for the solution of nonlinear equations. We consider
both the fixed-point form and explain why both versions are necessary to understand the …

This paper evaluates the performance of multiphysics coupling algorithms applied to a light
water nuclear reactor core simulation. The simulation couples the k-eigenvalue form of the …