Results 161 to 170 of about 28,522,762 (408)

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs [PDF]

arXiv
In this paper, we study the stochastic collocation (SC) methods for uncertainty quantification (UQ) in hyperbolic systems of nonlinear partial differential equations (PDEs). In these methods, the underlying PDEs are numerically solved at a set of collocation points in random space. A standard SC approach is based on a generalized polynomial chaos (gPC)
arxiv  

Convergence rate for a Radau collocation method applied to unconstrained optimal control [PDF]

arXiv, 2015
A local convergence rate is established for an orthogonal collocation method based on Radau quadrature applied to an unconstrained optimal control problem. If the continuous problem has a sufficiently smooth solution and the Hamiltonian satisfies a strong convexity condition, then the discrete problem possesses a local minimizer in a neighborhood of ...
arxiv  

Suzuki‐Miyaura Cross‐Couplings: Juxtaposing the Transmetalation of Arylboronic Acids and Alkylboranes

Chemistry – A European Journal, EarlyView.
This report employs computational methods at unified levels of theory to examine the respective transmetalation mechanisms underpinning classical palladium‐catalyzed Csp2–Csp2 and Csp2–Csp3 Suzuki–Miyaura cross‐couplings. This approach enabled fundamental aspects of these transmetalation pathways involving archetypal arylboronic acid and B‐alkyl‐9 ...
Allan J. Canty, Alex C. Bissember
wiley   +1 more source

A hybrid collocation method based on combining the third kind Chebyshev polynomials and block-pulse functions for solving higher-order initial value problems

Kuwait Journal of Science, 2016
The purpose of this paper is to propose a new collocation method for solving linear and nonlinear differential equations of high order as well as solving the differential equation on a very large interval.
Saeid Jahangiri, khosrow maleknejad, Majid Tavassoli Kajani   +2 more
doaj  

Spectral collocation method for convection-diffusion equation

Demonstratio Mathematica
Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered.
Li Jin, Cheng Yongling
doaj   +1 more source

An Efficient Numerical Scheme for Fractional Order Mathematical Model of Cytosolic Calcium Ion in Astrocytes

Fractal and Fractional
The major aim of this article is to obtain the numerical solution of a fractional mathematical model with a nonsingular kernel for thrombin receptor activation in calcium signals using two numerical schemes based on the collocation techniques. We present
Devendra Kumar, Hunney Nama, Jagdev Singh, Jitendra Kumar   +3 more
doaj   +1 more source

Collocation methods for the second kind integral equations with non-compact operators [PDF]

, 1989
S. Amini, Ian H. Sloan
openalex   +1 more source

A novel RBF collocation method using fictitious centres

Applied Mathematics Letters, 2020
Ching-Shyang Chen, Ching-Shyang Chen, A. Karageorghis, F. Dou   +3 more
semanticscholar   +1 more source

Hybrid collocation perturbation for PDEs with random domains

, 2017
In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by $N$ random variables.
Castrillon-Candas, Julio E., Nobile, Fabio, Tempone, Raul F.   +2 more
core  

Unveiling the Materiality of 19th Century's Color Spaces

Color Research &Application, EarlyView.
ABSTRACT Several color theories flourished during the 19th century, marked by experiments on the distinction between color‐light and color‐matter. This study aims to compare the color plates designed to illustrate three of these color theories, namely M.E. Chevreul's chromatic circle (1861), O. Rood's frontispiece (1879), and C.
Aurore Malmert, Oulfa Belhadj, Christine Andraud, Emeline Pouyet   +3 more
wiley   +1 more source