Zobrazeno 1 - 10
of 130
pro vyhledávání: '"65mxx"'
Autor:
Abolarinwa, Abimbola, Anthony, Yisa O
By a systematic development of fundamental concepts of conformable calculus we establish conformable divergence theorem and Green's identities which we combine with some new anisotropic Picone type identities to derive a generalized anisotropic Hardy
Externí odkaz:
http://arxiv.org/abs/2412.00240
Reduced-order models (ROMs) are often used to accelerate the simulation of large physical systems. However, traditional ROM techniques, such as those based on proper orthogonal decomposition (POD), often struggle with advection-dominated flows due to
Externí odkaz:
http://arxiv.org/abs/2409.08793
Autor:
Lovett, Nate, Bhatt, Harish
Coupled nonlinear Schr\"odinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water waves. Despite their extensive applications, analytical solutions o
Externí odkaz:
http://arxiv.org/abs/2407.18514
We present a new numerical model for solving the Chew-Goldberger-Low system of equations describing a bi-Maxwellian plasma in a magnetic field. Heliospheric and geospace environments are often observed to be in an anisotropic state with distinctly di
Externí odkaz:
http://arxiv.org/abs/2405.17487
The patch dynamics scheme in equation-free multiscale modelling can efficiently predict the macroscopic behaviours by simulating the microscale problem in a fraction of the space-time domain. The patch dynamics schemes developed so far, are mainly on
Externí odkaz:
http://arxiv.org/abs/2405.08764
Closure problems are omnipresent when simulating multiscale systems, where some quantities and processes cannot be fully prescribed despite their effects on the simulation's accuracy. Recently, scientific machine learning approaches have been propose
Externí odkaz:
http://arxiv.org/abs/2403.02913
Since viscoelastic two-phase flows arise in various industrial and natural processes, developing accurate and efficient software for their detailed numerical simulation is a highly relevant and challenging research task. We present a geometrical unst
Externí odkaz:
http://arxiv.org/abs/2311.10872
Quantitative phase field models have been extensively used to study the solidification behavior of alloys under different conditions. However, a longstanding challenge of phase field models is the directional bias caused by the discretization-induced
Externí odkaz:
http://arxiv.org/abs/2309.00836
Publikováno v:
Journal of Computational Physics 2024
In Koopman operator theory, a finite-dimensional nonlinear system is transformed into an infinite but linear system using a set of observable functions. However, manually selecting observable functions that span the invariant subspace of the Koopman
Externí odkaz:
http://arxiv.org/abs/2306.17396
Autor:
Basir, Shamsulhaq, Senocak, Inanc
Physics and equality constrained artificial neural networks (PECANN) are grounded in methods of constrained optimization to properly constrain the solution of partial differential equations (PDEs) with their boundary and initial conditions and any hi
Externí odkaz:
http://arxiv.org/abs/2306.04904