Results 1 to 10 of about 1,783 (122)

Study of the variable broadband emission of Markarian 501 during the most extreme Swift X-ray activity [PDF]

open access: yesAstronomy & Astrophysics, 2019
Context. Markarian 501 (Mrk 501) is a very high-energy (VHE) gamma-ray blazar located at z = 0.034, which is regularly monitored by a wide range of multi-wavelength instruments, from radio to VHE gamma rays.
M. Acciari   +324 more
semanticscholar   +1 more source

Twirling and whirling: viscous dynamics of rotating elastic filaments. [PDF]

open access: yesPhysical Review Letters, 1999
Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity.
C. Wolgemuth   +7 more
semanticscholar   +1 more source

Model Reduction and Neural Networks for Parametric PDEs [PDF]

open access: yes, 2020
We develop a general framework for data-driven approximation of input-output maps between infinite-dimensional spaces. The proposed approach is motivated by the recent successes of neural networks and deep learning, in combination with ideas from model ...
Bhattacharya, Kaushik   +3 more
core   +4 more sources

Characterization of the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using singular invariance PDEs: Application to immobilized enzyme and cell bioreactors

open access: yesMathematical Biosciences and Engineering, 2010
A new approach to the problem of characterizing the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using the notion of slow invariant manifold is proposed. The problem of interest is addressed within the context of singular
Nikolaos Kazantzis, Vasiliki Kazantzi
doaj   +1 more source

Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations [PDF]

open access: yes, 2015
We prove that a class of A-stable symplectic Runge--Kutta time semidiscretizations (including the Gauss--Legendre methods) applied to a class of semilinear Hamiltonian PDEs which are well-posed on spaces of analytic functions with analytic initial data ...
Oliver, Marcel, Wulff, Claudia
core   +2 more sources

Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]

open access: yes, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart   +12 more
core   +3 more sources

On the General Analytical Solution of the Kinematic Cosserat Equations [PDF]

open access: yes, 2016
Based on a Lie symmetry analysis, we construct a closed form solution to the kinematic part of the (partial differential) Cosserat equations describing the mechanical behavior of elastic rods.
D Michels   +22 more
core   +2 more sources

Partially integrable systems in multidimensions by a variant of the dressing method. 1

open access: yes, 2006
In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially integrable''.
A I Zenchuk   +16 more
core   +1 more source

Initial-boundary value problems for discrete evolution equations: discrete linear Schrodinger and integrable discrete nonlinear Schrodinger equations

open access: yes, 2008
We present a method to solve initial-boundary value problems for linear and integrable nonlinear differential-difference evolution equations. The method is the discrete version of the one developed by A. S.
Ablowitz M J   +22 more
core   +2 more sources

Nonlinear Methods for Model Reduction

open access: yes, 2020
The usual approach to model reduction for parametric partial differential equations (PDEs) is to construct a linear space $V_n$ which approximates well the solution manifold $\mathcal{M}$ consisting of all solutions $u(y)$ with $y$ the vector of ...
Bonito, Andrea   +5 more
core   +2 more sources

Home - About - Disclaimer - Privacy