Results 81 to 90 of about 327,371 (280)
Advances in Difference Equations, 2020 Blended compact difference (BCD) schemes with fourth- and sixth-order accuracy are proposed for approximating the three-dimensional (3D) variable coefficients elliptic partial differential equation (PDE) with mixed derivatives.
Tingfu Ma, Yongbin Ge
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Fourth order quasi-compact difference schemes for (tempered) space fractional diffusion equations [PDF]
, 2014 The continuous time random walk (CTRW) underlies many fundamental processes in non-equilibrium statistical physics. When the jump length of CTRW obeys a power-law distribution, its corresponding Fokker-Planck equation has space fractional derivative ...
Deng, Weihua, Wu, Yujiang, Yu, Yanyan
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Advanced Functional Materials, EarlyView.Overdoping high temperature superconductors, such as YBa2Cu3O7‐δ (YBCO), is expected to maxime the critical current density by optimising the condensation energy for a given defect landscape, providing new thrust for the development of fusion enabling coated conductors. Here, precise oxygen control is achieved via an electrochemical method allowing for
Alexander Stangl +7 more
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Advanced Healthcare Materials, EarlyView.To dissect how mechanical forces influence intestinal physiology, we developed a stretchable 3D colon‐on‐chip that integrates tunable topography, stiffness and peristalsis‐like motion within a physiologically relevant microenvironment. We showed that stretching is a dominant factor governing epithelial behavior, markedly enhancing proliferation and ...
Moencopi Bernheim‐Dennery +10 more
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Mathematical and Computational ApplicationsAn innovative high-order dimensionality reduction approach, which integrates a condensed finite-difference scheme with proper orthogonal decomposition techniques, has been explored for solving diffusion equations.
Wenqian Zhang, Hong Li
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Viscous instability of a compressible round jet
, 2007 The compressible linear stability equations are derived from the Navier Stokes equations in cylindrical polar coordinates. Numerical solutions for locally parallel flow are found using a direct matrix method. Discretization with compact finite difference
Salgado, Adriana M., Sandham, Neil D.
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Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems [PDF]
, 1979 Compact as possible difference schemes for systems of nth order equations are developed. Generalizations of the Mehrstellenverfahren and simple theoretically sound implementations of deferred corrections are given.
Keller, H. B., Pereyra, V.
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Advanced Healthcare Materials, EarlyView.This review examines how in vitro electrical and mechanical stimulation modulates wound healing in fibroblasts and keratinocytes. Analyzing over 560 experimental data points, we relate stimulation parameters to proliferation and migration outcomes, evaluate platform designs, and highlight the need for multi‐parameter optimization to advance targeted ...
Matthew K. Burgess +3 more
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Enhancing the fidelity of steady flamelet-based LES of turbulent non-premixed flames using high-order compact finite difference schemes [PDF]
AIP AdvancesNon-premixed turbulent combustion is central to many practical energy conversion systems, where turbulence drives the mixing of the fuel and oxidizer at the molecular scale in high-Reynolds number flows.
Rajib Mahamud +2 more
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A fourth-order arithmetic average compact finite-difference method for nonlinear singular elliptic PDEs on a 3D smooth quasi-variable grid network. [PDF]
MethodsX, 2023 Jha N, Singh B.
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