Results 51 to 60 of about 16,362 (263)

Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method

Journal of Applied Mathematics, 2013
Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral ...
Aytekin Eryılmaz, M. Tarık Atay, Safa B. Coşkun, Musa Başbük   +3 more
doaj   +1 more source

Extension of an all-Mach Roe scheme able to deal with low Mach acoustics to full Euler system [PDF]

ESAIM: Proceedings and Surveys
We propose to extend the fix of Roe’s approximate Riemann solver developed for the Barotropic Euler equations in [2] to the full Euler equations. This scheme is built mainly to handle low Mach acousticwaves.
Galié Thomas, Jung Jonathan, Lannabi Ibtissem, Perrier Vincent   +3 more
doaj   +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Numerical Solutions of Stochastic Differential Delay Equations with Poisson Random Measure under the Generalized Khasminskii-Type Conditions

Abstract and Applied Analysis, 2012
The Euler method is introduced for stochastic differential delay equations (SDDEs) with Poisson random measure under the generalized Khasminskii-type conditions which cover more classes of such equations than before.
Minghui Song, Hui Yu
doaj   +1 more source

Approximation of functions in Hölder’s class and solution of nonlinear Lane–Emden differential equation by orthonormal Euler wavelets [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, a method has been developed for the solution of a non-linear Lane-Emden differential equation based on orthonormal Euler wavelet series.
H.C. Yadav, A. Yadav, S. Lal
doaj   +1 more source

A Strain Decoupling Packaging Strategy for High‐Fidelity Ultrathin Silicon Shape Sensors for Soft Medical Robotics

Advanced Science, EarlyView.
Reliable soft sensors are essential for precise control in soft medical robots such as endoscopes. We developed ultrathin silicon piezoresistive sensors and their oil‐lubricated slidable packaging, which enables high‐fidelity shape sensing of silicon gauges by mechanically isolating the sensing element within a dual‐layer film.
Hao Liu, Masahito Takakuwa, Michitaka Yamamoto, Yiwen Wang, Tomoyuki Yokota, Takao Someya, Toshihiro Itoh, Seiichi Takamatsu   +7 more
wiley   +1 more source

Competition Between Liquid‐Liquid Crystalline Phase Separation (LLCPS) and Liquid‐Liquid Phase Separation (LLPS) in Amyloid Fibril Colloidal Systems

Advanced Science, EarlyView.
This study shows that amyloid fibrils form nematic condensates via liquid–liquid crystalline phase separation (LLCPS). With increasing pH, this transition shifts toward disordered condensates formed through liquid–liquid phase separation (LLPS), in which birefringence with lack of a coherent nematic field symmetry originates from enthalpic fibril ...
Milad Radiom, Raffaele Mezzenga
wiley   +1 more source

Error Analysis and Model Adaptivity for Flows in Gas Networks

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In the simulation and optimization of natural gas flow in a pipeline network, a hierarchy of models is used that employs different formulations of the Euler equations. While the optimization is performed on piecewise linear models, the flow simulation is
Stolwijk Jeroen J., Mehrmann Volker
doaj   +1 more source

SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS

Forum of Mathematics, Sigma, 2018
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj   +1 more source