Axioms of adaptivity [0.03%]
自适应性的公理
C Carstensen,M Feischl,M Page et al.
C Carstensen et al.
This paper aims first at a simultaneous axiomatic presentation of the proof of optimal convergence rates for adaptive finite element methods and second at some refinements of particular questions like the avoidance of (discrete) lower bound...
On the error propagation of semi-Lagrange and Fourier methods for advection problems [0.03%]
关于求解对流问题的半拉格朗日法和傅里叶方法误差传递的分析研究
Lukas Einkemmer,Alexander Ostermann
Lukas Einkemmer
In this paper we study the error propagation of numerical schemes for the advection equation in the case where high precision is desired. The numerical methods considered are based on the fast Fourier transform, polynomial interpolation (se...
An almost symmetric Strang splitting scheme for nonlinear evolution equations [0.03%]
求解非线性发展方程的几乎对称的Strang分裂格式
Lukas Einkemmer,Alexander Ostermann
Lukas Einkemmer
In this paper we consider splitting methods for the time integration of parabolic and certain classes of hyperbolic partial differential equations, where one partial flow cannot be computed exactly. Instead, we use a numerical approximation...
A Galerkin formulation of the MIB method for three dimensional elliptic interface problems [0.03%]
三层椭圆界面问题的Galerkin多物理场接口本征方法(MIB Galerkin)
Kelin Xia,Guo-Wei Wei
Kelin Xia
We develop a three dimensional (3D) Galerkin formulation of the matched interface and boundary (MIB) method for solving elliptic partial differential equations (PDEs) with discontinuous coefficients, i.e., the elliptic interface problem. Th...
Nikolai N Leonenko,Mark M Meerschaert,Alla Sikorskii
Nikolai N Leonenko
The stochastic solution to a diffusion equations with polynomial coefficients is called a Pearson diffusion. If the first time derivative is replaced by a Caputo fractional derivative of order less than one, the stochastic solution is calle...
Lattice Boltzmann simulation of blood flow in digitized vessel networks [0.03%]
基于血管数字化网络的血液流动的格子boltzmann法模拟
Chenghai Sun,Lance L Munn
Chenghai Sun
Efficient flow of red blood cells (RBCs) and white blood cells (WBCs) through the microcirculation is necessary for oxygen and nutrient delivery as well as immune cell function. Because blood is a dense particulate suspension, consisting of...
Approximation for age-structured population models using projection methods [0.03%]
利用投影方法的年龄结构种群模型近似解
T H Barr
T H Barr
"In this paper we present a class of rapidly convergent numerical schemes to solve the Sharpe-Lotka model equation from age-dependent population dynamics. This work is based on spline approximation techniques described by Banks and Kappel f...