Results 41 to 50 of about 16,520 (117)

Asymptotic scaling in a model class of anomalous reaction-diffusion equations

open access: yes, 2005
We analyze asymptotic scaling properties of a model class of anomalous reaction-diffusion (ARD) equations. Numerical experiments show that solutions to these have, for large $t$, well defined scaling properties.
Gaeta, G., Mancinelli, R.
core   +2 more sources

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Complex singularities and PDEs

open access: yes, 2015
In this paper we give a review on the computational methods used to characterize the complex singularities developed by some relevant PDEs. We begin by reviewing the singularity tracking method based on the analysis of the Fourier spectrum.
Caflisch, R. E.   +3 more
core  

Combustion waves in a model with chain branching reaction and their stability

open access: yes, 2007
In this paper the travelling wave solutions in the adiabatic model with two-step chain branching reaction mechanism are investigated both numerically and analytically in the limit of equal diffusivity of reactant, radicals and heat.
Dold J. W.   +10 more
core   +1 more source

Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices

open access: yesAdvanced Science, Volume 13, Issue 17, 23 March 2026.
This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma   +6 more
wiley   +1 more source

On the long-time behavior of a continuous duopoly model with constant conjectural variation

open access: yes, 2015
The paper concerns a continuous model governed by a ODE system originated by a discrete duopoly model with bounded rationality, based on constant conjectural variation.
Torcicollo, Isabella
core   +1 more source

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