Discrete-time model-based Iterative Learning Control: stability, monotonicity and robustness [PDF]
, 2007 In this thesis a new robustness analysis for model-based Iterative Learning Control (ILC) is presented. ILC is a method of control for systems that are required to track a reference signal in a repetitive manner.
Harte, Thomas James
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An Optimal Thirty-Second-Order Iterative Method for Solving Nonlinear Equations and a Conjecture [PDF]
, 2022 Many multipoint iterative methods without memory for solving non-linear equations in one variable are found in the literature. In particular, there are methods that provide fourth-order, eighth-order or sixteenth-order convergence using only ...
Varona Malumbres, Juan Luis [0000-0002-2023-9946] +1 more
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Norm Optimal Iterative Learning Control with Application to Problems in Accelerator based Free Electron Lasers and Rehabilitation Robotics [PDF]
, 2010 This paper gives an overview of the theoretical basis of the norm optimal approach to iterative learning control followed by results that describe more recent work which has experimentally benchmarking the performance that can be achieved.
Owens, D H +7 more
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An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros
Mathematics, 2021 In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–Halley’s iterative technique to solve the nonlinear equation having the multiple roots. The designed scheme makes use of the weight function and one parameter α
Ramandeep Behl +3 more
doaj +1 more source
Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Derivative-Free King’s Scheme for Multiple Zeros of Nonlinear Functions
Mathematics, 2021 There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence ...
Ramandeep Behl +3 more
doaj +1 more source
Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
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Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods
Abstract and Applied Analysis, 2012 Optimization problems defined by (objective) functions for which derivatives are unavailable or available at an expensive cost are emerging in computational science.
F. Soleymani, S. Shateyi
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On efficient iterative schemes for finding all solutions of non-linear engineering problems [PDF]
Computational Algorithms and Numerical DimensionsNonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail.
Mudassir Shams, Nasreen Kausar
doaj +1 more source
Iterative methods for the force-based quasicontinuum approximation : analysis of a 1D model problem [PDF]
, 2011 Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model.
Luskin, Mitchell Barry +7 more
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