Algorithms for trigonometric polynomial and rational approximation by Javed, M

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Interpolation and Approximation of Non Differentiable Function Using Polynomial by Koo, Lee Feng

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Segmented approximation and analysis of stochastic processes. by Akant, Adnan.

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Free vibration of laminated composite shell structures filled with fluid by Mat Daud, Nurul Izyan

“…Free vibration of layered truncated conical and circular cylindrical shells filled with fluid based on Love’s first approximation theory are analysed in this research. In addition, investigation regarding the free vibration of laminated composite circular cylindrical shells filled with fluid using the first order shear deformation theory also presented. …”
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Bounds on Urysohn width by Balitskiy, Alexey

“…This notion was introduced in the context of dimension theory, used in approximation theory, appeared in the work of Gromov on systolic geometry, and nowadays it is a metric invariant of independent interest. …”
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Design and development of autonomous biomimetic blacktip shark by Wong, Wei Loong

“…The kinematic model and kinetic model approach has been utilized to develop the theoretical model by trajectory approximation theory and beam theory for estimating the robotic fish swimming performance. …”
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Design and development of autonomous biomimetic blacktip shark by Wong, Wei Loong

“…The kinematic model and kinetic model approach has been utilized to develop the theoretical model by trajectory approximation theory and beam theory for estimating the robotic fish swimming performance. …”
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High-order numerical methods for scattering problems by Gopal, A

“…</p> <p>We first consider the case of homogeneous scattering on domains with corners and introduce a new solver in this regime, based on results in the rational approximation theory literature. The solver uses an exponentially clustered sum of dipoles to resolve the singularities in the solution and a simple expansion to resolve the smooth part. …”

Data-driven discovery of Green's functions by Boullé, N

“…The highly compositional structure of these networks, combined with rational approximation theory, implies that rational functions have higher approximation power than standard activation functions. …”

Computing with functions in two dimensions by Townsend, A

“…Explicit convergence rates are shown for the singular values of differentiable and separately analytic functions, and examples are given to demonstrate some paradoxical features of low rank approximation theory.</p> <p>Analogues of QR, LU, and Cholesky factorizations are introduced for matrices that are continuous in one or both directions, deriving a continuous linear algebra. …”

Asymmetries in nucleon transfer reactions induced by polarized protons by Nelson, J

“…</p> <p>An analysis of the data in terms of the distorted wave Born Approximation theory will be given in Chapter 5. The theory, in its two most frequently used forms, is outlined in Chapter 1. …”

Deterministic simulation of multi-beaded models of dilute polymer solutions by Figueroa, L, Leonardo E. Figueroa

“…Approx. 30: 621--651, 2009) in the case of Poisson's equation on a rectangular domain in $\mathbb{R}^2$, subject to a homogeneous Dirichlet boundary condition, where they exploited the connection of the approximation method with the greedy algorithms from nonlinear approximation theory explored, for example, by DeVore and Temlyakov (Adv. …”

Wide deep neural networks by Hayou, S

“…Classical results from approximation theory ensure that neural networks, even with a single hidden layer, are universal approximators, provided the model is big enough. …”

An optimization framework for adaptive higher-order discretizations of partial differential equations on anisotropic simplex meshes by Yano, Masayuki, Ph. D. Massachusetts Institute of Technology

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Time-optimal CNC tool paths : a mathematical model of machining by Kim, Taejung, 1969-

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Accelerating Bayesian inference in computationally expensive computer models using local and global approximations by Conrad, Patrick Raymond

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Dynamic configuration and approximation capabilities of extreme learning machines by Zhang, Rui

“…Furthermore, the obtained universal approximation theory of AG-ELM not only strengthens those existing results, but also provides a fundamental theory for studying the approximation capability of algorithms which use random mechanism for the parameter searching in neural networks. …”
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Scientific Machine Learning for Dynamical Systems: Theory and Applications to Fluid Flow and Ocean Ecosystem Modeling by Gupta, Abhinav

“…A second is the principled Bayesian discovery of new model functions empowered by stochastic piecewise polynomial approximation theory. Our new methodology not only seamlessly and rigorously discriminates between existing models, but also extrapolates out of the space of models to discover newer ones. …”
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Quantum localisation and multifractality in chains with strongly correlated disorder by Duthie, AJ

“…Using the fact that the associated self energy is an order parameter for localisation, we analyse its convergence in continued fraction (CF) form and thereby infer localisation or its absence, yielding the mobility edges of arbitrary models. Approximate theories can be implemented at any order in the CF by self-consistently determining the self energy. …”

Said-Ball Cubic Transition Curve And Its Application To Spur Gear Design by Yahaya, Saifudin Hafiz

“…Past studies have shown that an involute curve is the most common profile used in designing the spur gear tooth, developed based on the approximation theories such as Chebyshev approximation and the tracing points method. …”
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