Results 41 to 50 of about 2,473,621 (173)
Similarity solutions and conservation laws for the Beam Equations: a complete study [PDF]
arXiv, 2020 We study the similarity solutions and we determine the conservation laws of the various forms of beam equation, such as, Euler-Bernoulli, Rayleigh and Timoshenko-Prescott. The travelling-wave reduction leads to solvable fourth-order odes for all the forms.
arxiv
Electrochemical Science Advances, EarlyView.ABSTRACT Proton‐exchange membrane (PEM) water electrolysis is pivotal for green hydrogen production, necessitating accurate predictive models to manage their non‐linearities and expedite commercial deployment. Understanding degradation mechanisms through macro‐scale modeling and uncertainty quantification (UQ) is crucial for advancing this technology ...
Violeta Karyofylli +7 more
wiley +1 more source
, 2020 This paper presents the Galerkin-Vlasov variational method for the elastic buckling analysis of SSCF and SSSS rectangular plates. The thin plate problems studied are: (i) simply supported along two opposite sides x = 0, and x = a, clamped along the third
M. Onyia +2 more
semanticscholar +1 more source
Dynamic sensitivity analysis of biological systems
BMC Bioinformatics, 2008 BackgroundA mathematical model to understand, predict, control, or even design a real biological system is a central theme in systems biology. A dynamic biological system is always modeled as a nonlinear ordinary differential equation (ODE) system.
Wu-Hsiung Wu, F. Wang, Maw-Shang Chang
semanticscholar +1 more source
Stable blowup for focusing semilinear wave equations in all dimensions [PDF]
arXiv, 2023 We consider the wave equation with focusing power nonlinearity. The associated ODE in time gives rise to a self-similar solution known as the ODE blowup. We prove the nonlinear asymptotic stability of this blowup mechanism outside of radial symmetry in all space dimensions and for all superlinear powers.
arxiv
A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves
International Journal for Numerical Methods in Fluids, EarlyView.We present a high‐order accurate CFD model for simulating nonlinear water waves using the incompressible Navier–Stokes equations. The model employs a combined Chebyshev–Fourier basis for efficient spatial discretization, and a low‐storage fourth‐order Runge–Kutta method for temporal integration. A Poisson pressure problem is solved using a geometric p$$
Anders Melander +3 more
wiley +1 more source
Integrating factors for second order ODEs [PDF]
Journal of Symbolic Computation, V. 27, No. 5, pp. 501-519 (1999), 2000 A systematic algorithm for building integrating factors of the form mu(x,y), mu(x,y') or mu(y,y') for second order ODEs is presented. The algorithm can determine the existence and explicit form of the integrating factors themselves without solving any differential equations, except for a linear ODE in one subcase of the mu(x,y) problem.
arxiv
DelayDiffEq: Generating Delay Differential Equation Solvers via Recursive Embedding of Ordinary Differential Equation Solvers [PDF]
arXiv, 2022 Traditional solvers for delay differential equations (DDEs) are designed around only a single method and do not effectively use the infrastructure of their more-developed ordinary differential equation (ODE) counterparts. In this work we present DelayDiffEq, a Julia package for numerically solving delay differential equations (DDEs) which leverages the
arxiv
SDF‐Guided Point Cloud Generation Framework for Mesh‐Free CFD
International Journal for Numerical Methods in Fluids, EarlyView.This paper presents different methods for generating clouds of points around objects for use with meshless methods in computational fluid dynamics. This image shows the cloud generated around the original ROBIN body. ABSTRACT Meshing is a bottleneck of CFD workflows, especially when complex geometries are considered.
Tao Zhang, George N. Barakos
wiley +1 more source
Computational Cellular Mathematical Model Aids Understanding the cGAS-STING in NSCLC Pathogenicity
Bio-protocolNon-small cell lung cancer (NSCLC) is the most common type of lung cancer. According to 2020 reports, globally, 2.2 million cases are reported every year, with the mortality number being as high as 1.8 million patients.
Shweta Khandibharad +2 more
semanticscholar +1 more source