Results 61 to 70 of about 44,437 (210)
Alternative methods for solving nonlinear two-point boundary value problems
Open Physics, 2018 In this sequel, the numerical solution of nonlinear two-point boundary value problems (NTBVPs) for ordinary differential equations (ODEs) is found by Bezier curve method (BCM) and orthonormal Bernstein polynomials (OBPs). OBPs will be constructed by Gram-
Ghomanjani Fateme, Shateyi Stanford
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Exploring Asymptotic Normality in Multinomial Models
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source
Data-driven sparse polynomial chaos expansion for models with dependent inputs
Journal of Safety Science and Resilience, 2023 Polynomial chaos expansions (PCEs) have been used in many real-world engineering applications to quantify how the uncertainty of an output is propagated from inputs by decomposing the output in terms of polynomials of the inputs.
Zhanlin Liu, Youngjun Choe
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Squeezed States and Hermite polynomials in a Complex Variable
, 2013 Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related to the Hermite polynomials in a complex variable which are orthogonal ...
A. Horzela +8 more
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Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Computer Graphics Forum, EarlyView.Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
wiley +1 more source
Annales de Didactique et de Sciences Cognitives, 2018 The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
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Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials
Linear Algebra and its Applications, 2006 A polynomial Vandermonde matrix involving orthonormal polynomials is a matrix of the form: \(V_P(x)=[P_{i-1}(x_j)]_{i,j=1}^n\) where \(P_i\) are real polynomials, orthonormal on some interval \([a,b],\) \(\deg P_i=i,\) and \(x=(x_1,x_2,\dots ,x_n)\) is a complex \(n\)-vector.
Demmel, James, Koev, Plamen
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Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
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Macroprudential Policy in the Euro Area
Journal of Money, Credit and Banking, EarlyView.Abstract This paper examines the development and impact of macroprudential policies in the euro area. We construct a novel index that captures the stance of macroprudential policy, and we highlight its main stylized facts since the inception of the euro in 1999. We combine a narrative approach and a structural VAR method to show that both unanticipated
ÁLVARO FERNÁNDEZ‐GALLARDO +1 more
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