Results 81 to 90 of about 99,563 (294)

Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation

open access: yesAxioms
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently,
Yue Sun   +3 more
doaj   +1 more source

High order semi-implicit weighted compact nonlinear scheme for the all-Mach isentropic Euler system

open access: yesAdvances in Aerodynamics, 2020
The computation of compressible flows at all Mach numbers is a very challenging problem. An efficient numerical method for solving this problem needs to have shock-capturing capability in the high Mach number regime, while it can deal with stiffness and ...
Yanqun Jiang   +4 more
doaj   +1 more source

MAGTWIST: A Magnetically‐Driven Rotary Actuator Using a Traveling‐Wave With Integrated Stiffness Tunability

open access: yesAdvanced Functional Materials, EarlyView.
MAGTWIST: A compact magnetic rotary actuator, enabling smooth, stepless rotation, and on‐demand locking. Inspired by peristalsis, a soft polymer belt generates a traveling‐wave, enabling 270° rotation when heated. Cooling stiffens the belt, locking it in position and enabling it to withstand high loads.
Simon Frieler   +3 more
wiley   +1 more source

Semi-analytic solution to planar Helmholtz equation

open access: yesApplied and Computational Mechanics, 2013
Acoustic solution of interior domains is of great interest. Solving acoustic pressure fields faster with lower computational requirements is demanded.
Tukač M., Vampola T.
doaj  

Error analysis of trigonometric integrators for semilinear wave equations [PDF]

open access: yes, 2015
An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations with periodic boundary conditions in one space dimension is given.
Gauckler, Ludwig
core  

Convergence rates of the Semi-Discrete method for stochastic differential equations

open access: yes, 2020
We study the convergence rates of the semi-discrete (SD) method originally proposed in Halidias (2012), Semi-discrete approximations for stochastic differential equations and applications, International Journal of Computer Mathematics, 89(6). The SD numerical method was originally designed mainly to reproduce qualitative properties of nonlinear ...
Stamatiou, Ioannis S.   +1 more
openaire   +2 more sources

Bio‐Inspired Magnetically Tunable Structural Colors from Elliptical Self‐Assembled Block Copolymer Microparticles

open access: yesAdvanced Functional Materials, EarlyView.
Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta   +8 more
wiley   +1 more source

Coagulative Granular Hydrogels with an Enzyme Catalyzed Fibrin Network for Endogenous Tissue Regeneration

open access: yesAdvanced Healthcare Materials, EarlyView.
Coagulative granular hydrogels are composed of packed thrombin‐functionalized microgels that catalyze the conversion of fibrinogen into a secondary fibrin network, filling the interstitial voids. This bio‐inspired approach stabilizes the biomaterial to match the robustness of bulk hydrogels without compromising injectability, mimicking the initial ...
Zhipeng Deng   +16 more
wiley   +1 more source

A High-Order Symmetric Interior Penalty Discontinuous Galerkin Scheme to Simulate Vortex Dominated Incompressible Fluid Flow

open access: yesAIMS Mathematics, 2016
A high-order Symmetric Interior Penalty discontinuous Galerkin (SIPG) method has been used for solving the incompressible Navier-Stokes equation. We apply the temporal splitting scheme in time and the SIPG discretization in space with the local Lax ...
Lunji Song, Charles O’Neill
doaj   +1 more source

A systematic method for constructing time discretizations of integrable lattice systems: local equations of motion

open access: yes, 2010
We propose a new method for discretizing the time variable in integrable lattice systems while maintaining the locality of the equations of motion. The method is based on the zero-curvature (Lax pair) representation and the lowest-order "conservation ...
Ablowitz M J   +14 more
core   +1 more source

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