Results 61 to 70 of about 5,593 (253)

Optimized Schwarz methods for Maxwell's equations

open access: yes, 2009
Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita   +6 more
core   +1 more source

A high order compact scheme for hypersonic aerothermodynamics [PDF]

open access: yes, 2010
A novel high order compact scheme for solving the compressible Navier-Stokes equations has been developed. The scheme is an extension of a method originally proposed for solving the Euler equations, and combines several techniques for the solution of ...
Emerson, David   +5 more
core   +1 more source

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

open access: yesAdvanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet   +8 more
wiley   +1 more source

Application of kinetic flux vector splitting scheme for solving viscous quantum hydrodynamical model of semiconductor devices

open access: yesResults in Physics, 2018
In this article, one-dimensional viscous quantum hydrodynamical model of semiconductor devices is numerically investigated. The model treats the propagation of electrons in a semiconductor device as the flow of a charged compressible fluid.
Ubaid Ahmed Nisar   +2 more
doaj   +1 more source

Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

open access: yes, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core   +1 more source

Full‐Body AI Agent: A Perspective on Multi‐Scale Collaborative AI for Systemic Biology and Precision Medicine

open access: yesAdvanced Science, EarlyView.
We propose the Full‐Body AI Agent, a multi‐scale collaborative framework with 7 biological‐layer agents. It unifies multi‐omics/clinical data via standardized protocols, enabling phenotype‐guided closed‐loop reasoning, quantitative evaluation, and LLM safeguards, with promising applications in tumor metastasis modeling and precision drug development ...
Aoqi Wang   +11 more
wiley   +1 more source

Numerical solution to nonlinear Tricomi equation using WENO schemes

open access: yesElectronic Journal of Differential Equations, 2010
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu   +2 more
doaj  

Synchronization‐Dissipation in the Cardiorespiratory System

open access: yesAdvanced Science, EarlyView.
By modeling central nervous coupling and viscoelastic interactions in the cardiorespiratory system we show that synchronization produces a 10% gain in cardiac efficiency in humans. It is surmised that respiratory sinus arrhythmia improves cardiac pumping efficiency by reducing dynamic stress and power dissipation in the pulmonary vasculature.
Joshua R. Border   +3 more
wiley   +1 more source

Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

open access: yesAdvanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang   +2 more
wiley   +1 more source

Homotopy Analysis Transform Method for a Singular Nonlinear Second-Order Hyperbolic Pseudo-Differential Equation

open access: yesAxioms
In this study, we employed the homotopy analysis transform method (HATM) to derive an iterative scheme to numerically solve a singular second-order hyperbolic pseudo-differential equation.
Said Mesloub, Hassan Eltayeb Gadain
doaj   +1 more source

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