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| 1 | MR imaging of hepatocellular carcinoma: Relationship between lesion size and imaging findings, including signal intensity and dynamic enhancement patterns显示文摘 | Indra C.van den Bos Shahid M.Hussain Roy S.Dwarkasing Wim C.J.Hop Pieter E.Zondervan Robert A.de Man Jan N.M.IJzermans Craig W.Walker Gabriel P.Krestin | 2007 | J. Magn. Reson. Imaging2007，，： | 1 |
| 2 | Evaluating the Practical Effectiveness of Human Resource Planning Applications显示文摘 | James W.Walker | | 0，，： | 1 |
| 3 | 对重载牵引铁路用机车的要求显示文摘澳大利亚纽曼矿山铁路公司正在开始更换其43台Alco636型机车。本文叙述了更换决策的背景和对重载牵引铁路的技术要求。 | W.Walker 林宏迪 | 1990 | 国外内燃机车1990，，7： | 0 |
| 4 | A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets显示文摘We develop a novel finite element method for a phase field model of nematic liquid crystal droplets.The continuous model considers a free energy comprised of three components:the Ericksen’s energy for liquid crystals,the Cahn-Hilliard energy representing the interfacial energy of the droplet,and an anisotropic weak anchoring energy that enforces a condition such that the director field is aligned perpendicular to the interface of the droplet.Applications of the model are for finding minimizers of the free energy and exploring gradient flow dynamics.We present a finite element method that utilizes a special discretization of the liquid crystal elastic energy,as well as mass-lumping to discretize the coupling terms for the anisotropic surface tension part.Next,we present a discrete gradient flow method and show that it is monotone energy decreasing.Furthermore,we show that global discrete energy minimizersΓ-converge to global minimizers of the continuous energy.We conclude with numerical experiments illustrating different gradient flow dynamics,including droplet coales-cence and break-up. | Amanda E.Diegel Shawn W.Walker | 2019 | Communications in Computational Physics2019，25，1： | 0 |
| 5 | Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model显示文摘This paper illustrates the efficacy of using accelerated gradient descent schemes for minimizing a uniaxially constrained Landau-de Gennes model for nematic liquid crystals.Three(alternating direction)minimization schemes are applied to a structure preserving finite element discretization of the uniaxial model:a standard gradient descent method,the“heavy-ball”method,and Nesterov’s method.The performance of the schemes is measured in terms of the number of iterations required to obtain the equilibrium state,as well as the total computational time(wall time).The numerical experiments clearly show that the accelerated gradient descent schemes reduce the number of iterations and computational time significantly,despite the hard uniaxial constraint that is not“smooth”when defects are present.Moreover,our results show that accelerated schemes are not hindered when combined with an alternating direction minimization algorithm and are easy to implement. | Edison E.Chukwuemeka Shawn W.Walker | 2022 | Advances in Applied Mathematics and Mechanics2022，14，1： | 0 |
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