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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A second order accurate, decoupled numerical scheme for magnetohydrodynamic equations
磁流体 动力学方程 二阶精确解 耦数值方案
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2023/4/27
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
A High–order Accurate Gas-kinetic Scheme for One-and Two-dimensional Flow Simulation
Gas-kinetic scheme initial reconstruction BGK model Boltzmann equation,
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2014/9/26
This paper develops a high-order accurate gas-kinetic scheme in the frame-work of the finite volume method for the one- and two-dimensional flow simulations,
which is an extension of the third-order ...
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Godunov-type scheme generalized Riemann problem Riemann problem
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2014/9/26
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D)
Euler equations in gas dynamics. It is an ext...
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics
Godunov-type scheme WENO Generalized Riemann problem Riemann problem
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2014/9/26
The paper analytically derives a third-order accurate direct Eulerian general-ized Riemann problem (GRP) scheme for one-dimensional special relativistic hydrody-namical equations. In our GRP scheme, t...
The Data Absorption Technique: Coevolution to Automate the Accurate Representation of Social Structure
Cognitive agent based simulation coevolution data absorption social science simulation Bayesian optimization algorithm irregular warfare
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2014/8/8
Coevolution is a technique that not only enables simulations to represent the formation of social structure, but also facilitates their capability to emulate the processes of iterative feedback under...
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
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2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
Fast and accurate con-eigenvalue algorithm for optimal rational approximations
Fast accurate con-eigenvalue algorithm optimal rational approximations
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2011/2/21
The need to compute small con-eigenvalues and the associated con-eigenvectors of
positive-definite Cauchy matrices naturally arises when constructing rational approximations with an optimally small L...
Fourth-order accurate simplified coupled characteristics-based schemes for the hyperbolic heat conduction equations
hyperbolic heat conduction equations numerical method of characteristics
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2010/9/10
Roe and Arora [1] derived a fourth-order accurate coupled characteristicsbased scheme for the hyperbolic heat conduction equations (mistakenly concluding that it was only third-order accurate [2]) by ...
A NEW CLASS OF UNIFORMLY SECOND ORDER ACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS
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2007/12/11
In this paper, concerned with the Cauchy problem for 2D nonlinear
hyperbolic conservation laws,we construct a class of uniformly second
order accurate finite difference schemes, which are based on t...
AN ACCURATE NUMERICAL SOLUTION OF A TWO DIMENSIONAL HEAT TRANSFERPROBLEM WITH A PARABOLIC BOUNDARY LAYER
Linear convection-diffusion parabolic layer piecewise uniform mesh finite difference.
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2007/12/11
A singularly perturbed linear convection-diffusion problem for heat
transfer in two dimensions with a parabolic boundary layer is solved
numerically. The numerical method consists of a special piece...