Results 91 to 100 of about 20,047 (287)

New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds

Abstract and Applied Analysis, 2013
This paper is concerned with introducing two wavelets collocation algorithms for solving linear and nonlinear multipoint boundary value problems. The principal idea for obtaining spectral numerical solutions for such equations is employing third- and ...
W. M. Abd-Elhameed, E. H. Doha, Y. H. Youssri   +2 more
doaj   +1 more source

Is AI an Algorithm by Any Other Name? Behavioral Reactions to AI‐ and Model‐Based Demand Planning Algorithms

Journal of Operations Management, EarlyView.
ABSTRACT With the ongoing deployment of AI algorithms, managers do not know whether existing demand planning processes account for possible differences in human behavior when using AI‐based systems in comparison to legacy model‐based systems. This study examines how human behavior may differ when performing demand forecasting tasks due to the ...
Finnegan McKinley, Rebekah Brau, John Aloysius, Adriana Rossiter Hofer   +3 more
wiley   +1 more source

Construction of Fractional Pseudospectral Differentiation Matrices with Applications

Axioms
Differentiation matrices are an important tool in the implementation of the spectral collocation method to solve various types of problems involving differential operators.
Wenbin Li, Hongjun Ma, Tinggang Zhao
doaj   +1 more source

A New Numerical Algorithm for Solving a Class of Fractional Advection-Dispersion Equation with Variable Coefficients Using Jacobi Polynomials

Abstract and Applied Analysis, 2013
We propose Jacobi-Gauss-Lobatto collocation approximation for the numerical solution of a class of fractional-in-space advection-dispersion equation with variable coefficients based on Caputo derivative.
A. H. Bhrawy
doaj   +1 more source

Inter‐Theta‐Gram Spectroscopy: A General Super‐Spectral‐Resolution Scattering Method Demonstrated on Diamond

Journal of Raman Spectroscopy, EarlyView.
Inter‐Theta‐Gram spectroscopy enables super‐spectral‐resolution Raman analysis by jointly reconstructing the excitation laser line and Raman peak during an etalon angle scan, yielding internally referenced Raman shifts. Demonstrated on lab‐grown versus natural diamond, it resolves 0.1–0.2 cm−1 Raman‐shift offsets that are invisible in conventional ...
Yishai Amiel, Romi Nedvedski, Yaakov R. Tischler, Hadass Tischler   +3 more
wiley   +1 more source

A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

Boundary Value Problems, 2019
In this paper, we mainly use a proper orthogonal decomposition (POD) to reduce the order of the coefficient vectors of the solutions for the classical collocation spectral (CS) method of two-dimensional (2D) Sobolev equations.
Shiju Jin, Zhendong Luo
doaj   +1 more source

A review of spectral methods [PDF]

An outline for spectral methods for partial differential equations is presented. The basic spectral algorithm is defined, collocation are emphasized and the main advantage of the method, the infinite order of accuracy in problems with smooth solutions ...
Lustman, L.
core   +1 more source

General relativistic null-cone evolutions with a high-order scheme

, 2012
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs.
B Gustafsson, B Szilágyi, C Reisswig, C Reisswig, C Reisswig, C Reisswig, CD Ott, Christian Reisswig, D Pollney, Denis Pollney, E Schnetter, F Löffler, H Bondi, JM Stewart, JN Goldberg, JR Driscoll, M Alcubierre, MC Babiuc, MC Babiuc, Nigel Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, P Diener, R Bartnik, R Gómez, R Gómez, R Penrose, RK Sachs   +30 more
core   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Spectral Solution with a Subtraction Method to Improve Accuracy [PDF]

, 2011
This work addresses the solution to a Dirichlet boundary value problem for the Poisson equation in 1-D, d2u/dx2 = f using a numerical Fourier collocation approach.
Green, Matthew
core   +1 more source