Mark M Meerschaert,Farzad Sabzikar,Jinghua Chen
Mark M Meerschaert
Fractional derivatives and integrals are convolutions with a power law. Multiplying by an exponential factor leads to tempered fractional derivatives and integrals. Tempered fractional diffusion equations, where the usual second derivative ...
An Integration Factor Method for Stochastic and Stiff Reaction-Diffusion Systems [0.03%]
随机及刚性反应扩散系统的积分因子法
Catherine Ta,Dongyong Wang,Qing Nie
Catherine Ta
Stochastic effects are often present in the biochemical systems involving reactions and diffusions. When the reactions are stiff, existing numerical methods for stochastic reaction diffusion equations require either very small time steps fo...
Sebastian Acosta,Charles Puelz,Béatrice Riviére et al.
Sebastian Acosta et al.
Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often simulated by com...
Second order Method for Solving 3D Elasticity Equations with Complex Interfaces [0.03%]
求解复杂界面分段各向异性材料的三维弹性问题的二阶方法
Bao Wang,Kelin Xia,Guo-Wei Wei
Bao Wang
Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materials, elasticity interface problems come into play. The solut...
Semi-implicit Integration Factor Methods on Sparse Grids for High-Dimensional Systems [0.03%]
稀疏网格上的半显式积分因子法求解高维系统
Dongyong Wang,Weitao Chen,Qing Nie
Dongyong Wang
Numerical methods for partial differential equations in high-dimensional spaces are often limited by the curse of dimensionality. Though the sparse grid technique, based on a one-dimensional hierarchical basis through tensor products, is po...
A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes [0.03%]
一种结合自适应动量离散的WENO解算器求解温格输运方程及其在共振隧道二极管中的应用
Antonius Dorda,Ferdinand Schürrer
Antonius Dorda
We present a novel numerical scheme for the deterministic solution of the Wigner transport equation, especially suited to deal with situations in which strong quantum effects are present. The unique feature of the algorithm is the expansion...
A Multiple Time Stepping Algorithm for Efficient Multiscale Modeling of Platelets Flowing in Blood Plasma [0.03%]
一种高效的血小板在血浆中流动的多尺度模拟多重时间步长算法
Peng Zhang,Na Zhang,Yuefan Deng et al.
Peng Zhang et al.
We developed a multiple time-stepping (MTS) algorithm for multiscale modeling of the dynamics of platelets flowing in viscous blood plasma. This MTS algorithm improves considerably the computational efficiency without significant loss of ac...
A numerical study of adaptive space and time discretisations for Gross-Pitaevskii equations [0.03%]
格罗斯-皮塔耶夫斯基方程的自适应空间和时间离散化数值研究
Mechthild Thalhammer,Jochen Abhau
Mechthild Thalhammer
As a basic principle, benefits of adaptive discretisations are an improved balance between required accuracy and efficiency as well as an enhancement of the reliability of numerical computations. In this work, the capacity of locally adapti...
A New Runge-Kutta Discontinuous Galerkin Method with Conservation Constraint to Improve CFL Condition for Solving Conservation Laws [0.03%]
一种带有守恒约束的新型鲁宁-库塔间断迦辽金法以改进求解守恒律方程的时间步限制条件
Zhiliang Xu,Xu-Yan Chen,Yingjie Liu
Zhiliang Xu
We present a new formulation of the Runge-Kutta discontinuous Galerkin (RKDG) method [9, 8, 7, 6] for solving conservation Laws with increased CFL numbers. The new formulation requires the computed RKDG solution in a cell to satisfy additio...
Diffuse interface models of locally inextensible vesicles in a viscous fluid [0.03%]
黏性流体中局部不可伸展的双层膜的扩散界面模型
Sebastian Aland,Sabine Egerer,John Lowengrub et al.
Sebastian Aland et al.
We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid with inertial forces. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface con...