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This paper presents a method for structural identifiability analysis of fractional order systems by using the coefficient mapping concept to determine whether the model parameters can uniquely be identified from input-output data. The…

最优化与控制 · 数学 2015-11-05 S. M. Mahdi Alavi , Adam Mahdi , Pierre E. Jacob , Stephen J. Payne , David A. Howey

A numerical scheme is presented for approximating fractional order Poisson problems in two and three dimensions. The scheme is based on reformulating the original problem posed over $\Omega$ on the extruded domain…

数值分析 · 数学 2019-05-27 Mark Ainsworth , Christian Glusa

We introduce a new method for estimating the Ideal Time-Frequency Representation (ITFR) of complex nonstationary signals. The Reconstructive Ideal Fractional Transform (RIFT) computes a constellation of Continuous Fractional Wavelet…

音频与语音处理 · 电气工程与系统科学 2026-04-03 James M. Cozens , Simon J. Godsill

In this study we construct a time-space finite element (FE) scheme and furnish cost-efficient approximations for one-dimensional multi-term time fractional advection diffusion equations on a bounded domain $\Omega$. Firstly, a fully…

数值分析 · 数学 2017-08-08 Xiaoqiang Yue , Yehong Xu , Shi Shu , Menghuan Liu , Weiping Bu

In this paper, we consider the integrating factor midpoint method for wave-type equations and derive optimal order a posteriori error estimates. We first introduce an integrating factor midpoint approximation defined by the piecewise linear…

数值分析 · 数学 2026-03-03 Xianfa Hu , Fazhan Geng , Wansheng Wang

In this work, we optimally solve the problem of multiplierless design of second-order Infinite Impulse Response filters with minimum number of adders. Given a frequency specification, we design a stable direct form filter with…

硬件体系结构 · 计算机科学 2022-05-11 Rémi Garcia , Anastasia Volkova , Martin Kumm , Alexandre Goldsztejn , Jonas Kühle

The approach in Foias et al. (1996) is one of the well-developed methods to design H-infinity controllers for general infinite dimensional systems. This approach is applicable if the plant admits a special coprime inner/outer factorization.…

系统与控制 · 电气工程与系统科学 2020-03-24 Suat Gumussoy

A novel conformal mapping based Fractional Order (FO) methodology is developed in this paper for tuning existing classical (Integer Order) Proportional Integral Derivative (PID) controllers especially for sluggish and oscillatory second…

最优化与控制 · 数学 2012-02-28 Suman Saha , Saptarshi Das , Shantanu Das , Amitava Gupta

Fractional differential equations (FDEs) describe subdiffusion behavior of dynamical systems. Its non-local structure requires taking into account the whole evolution history during the time integration, which then possibly causes…

数值分析 · 数学 2022-02-17 Ustim Khristenko , Barbara Wohlmuth

Score-based models have recently been introduced as a richer framework to model distributions in high dimensions and are generally more suitable for generative tasks. In score-based models, a generative task is formulated using a parametric…

机器学习 · 计算机科学 2023-02-07 Harsh Mishra , Jurijs Nazarovs , Manmohan Dogra , Sathya N. Ravi

A new low-order discretization scheme for the identity operator in the magnetic field integral equation (MFIE) is discussed. Its concept is derived from the weak-form representation of combined sources which are discretized with…

数值分析 · 数学 2022-06-27 Jonas Kornprobst , Thomas F. Eibert

Gradient-based methods are well-suited for derivative-free optimization (DFO), where finite-difference (FD) estimates are commonly used as gradient surrogates. Traditional stochastic approximation methods, such as Kiefer-Wolfowitz (KW) and…

最优化与控制 · 数学 2025-03-03 Guo Liang , Guangwu Liu , Kun Zhang

We develop all of the components needed to construct an adaptive finite element code that can be used to approximate fractional partial differential equations, on non-trivial domains in $d\geq 1$ dimensions. Our main approach consists of…

数值分析 · 数学 2018-02-14 Mark Ainsworth , Christian Glusa

We show that highly accurate approximations can often be obtained from constructing Thiele interpolating continued fractions by a Greedy selection of the interpolation points together with an early termination condition. The obtained…

数值分析 · 数学 2023-02-23 Oliver Salazar Celis

This article presents a high order conservative flux optimization (CFO) finite element method for the elliptic diffusion equations. The numerical scheme is based on the classical Galerkin finite element method enhanced by a flux…

数值分析 · 数学 2019-11-13 Yujie Liu , Yue Feng , Ran Zhang

A stochastic configuration interaction method based on evolutionary algorithm is designed as an affordable approximation to full configuration interaction (FCI). The algorithm comprises of initiation, propagation and termination steps,…

强关联电子 · 物理学 2016-08-18 Rahul Chakraborty , Debashree Ghosh

Accurate large-scale Kohn-Sham density functional theory (DFT) calculations are essential for modeling complex material systems, including interfaces, defects, nanoclusters, and twisted two-dimensional heterostructures. Achieving chemical…

计算物理 · 物理学 2026-04-30 Kartick Ramakrishnan , Phani Motamarri

This paper describes a new method for the synthesis of planar antenna arrays using fuzzy genetic algorithms (FGAs) by optimizing phase excitation coefficients to best meet a desired radiation pattern. We present the application of a…

神经与进化计算 · 计算机科学 2010-02-08 Boufeldja Kadri , Miloud Boussahla , Fethi Tarik Bendimerad

When translating UI design prototypes to code in industry, automatically generating code from design prototypes can expedite the development of applications and GUI iterations. However, in design prototypes without strict design…

软件工程 · 计算机科学 2023-09-19 Liuqing Chen , Yunnong Chen , Shuhong Xiao , Yaxuan Song , Lingyun Sun , Yankun Zhen , Tingting Zhou , Yanfang Chang

This paper presents a new approach of constructing $\alpha$-fractal interpolation functions (FIFs) using neural network operators, integrating concepts from approximation theory. Initially, we construct $\alpha$-fractals utilizing neural…

机器学习 · 计算机科学 2025-05-13 Aaqib Ayoub Bhat , Asif Khan , M. Mursaleen