搜索结果: 1-15 共查到“Runge-Kutta”相关记录35条 . 查询时间(0.078 秒)
GALERKIN AND RUNGE{KUTTA METHODS: UNIFIED FORMULATION, A POSTERIORI ERROR ESTIMATES AND NODAL SUPERCONVERGENCE
Continuous discontinuous Galerkin methods
2015/12/11
We unify the formulation and analysis of Galerkin and Runge{Kutta
methods for the time discretization of parabolic equations. This, together with
the concept of reconstruction of the approximate sol...
Optimal order a posteriori error estimates for a class of Runge{Kutta and Galerkin methods
error estimates Galerkin methods
2015/12/11
We derive a posteriori error estimates, which exhibit
optimal global order, for a class of time stepping methods of any
order that include Runge{Kutta Collocation (RK-C) methods and
the continuous ...
From Semi-Discrete to Fully-Discrete: The Stability of Runge-Kutta Schemes by the Energy Method
L2-stability resolvent condition method of lines Runge{Kutta methods region of absolute stability energy method
2015/10/8
The integration of semi-discrete approximations for time-dependent problems is encountered in a variety of applications. The Runge-Kutta (RK) methods are widely used to integrate the ODE systems which...
Applications of Dual Time Stepping to Fully Implicit Runge-Kutta Schemes for Unsteady Flow Calculations
Unsteady Flow Calculations Time Stepping
2015/6/18
Accordingly, a fast steady state solver is an essential building block for an implicit
scheme. This leads to a circular situation. We need an implicit scheme for fast
convergence to a steady state, ...
Multi-symplectic Runge-Kutta-Nystr鰉 Methods for Nonlinear Schr鰀inger Equations
Nonlinear Schr膐dinger equations multi-symplectic methods Runge-Kutta-Nystr膐mmethods charge conservation law
2012/8/7
In this paper, we investigate multi-symplectic Runge-Kutta-Nystr膐m (RKN) methods for non-
linear Schr膐dinger equations. Concatenating symplecitc Nystr膐m methods in spatial direct...
Accuracy of Classical Conservation Laws for Hamilton PDES Under Runge-Kutta Discretizations
Accuracy of Classical Conservation Laws Hamilton PDES Runge-Kutta Discretizations
2012/8/7
We investigate conservative properties of Runge-Kutta methods
for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth-
ods preserve precisely norm square conservation law. Based on...
Quadratic Invariants and Multi-symplecticity of Partitioned Runge-Kutta Methods for Hamiltonian PDEs
Quadratic conservation law Partitioned Runge-Kutta method Multi-symplectic
2012/8/7
In this paper, we study the preservation of quadratic conservation laws of Runge-Kutta
methods and partitioned Runge-Kutta methods for Hamiltonian PDEs and establish the relation
between multi-sympl...
推导了求解NS方程组的隐式龙格库塔方法，并从稳定性、精度和效率三方面展开讨论。通过定常和非定常算例对该方法进行验算，分析表明该方法计算结果正确、稳定性好、精度高、效率高，适合求解大型复杂非定常化学非平衡流动。
随机微分方程Runge-Kutta方法的矩指数稳定及矩渐近稳定性
Runge-Kutta方法 矩指数稳定 矩渐近稳定
2012/11/12
考虑逼近随机微分方程的1.5阶Runge-Kutta法的矩指数稳定性和矩渐近稳定性, 对于标量线性检验方程, 证明了随机Runge-Kutta法的矩指数稳
定性和矩渐近稳定性是一致的, 并给出了这两种稳定性的存在条件。
随机微分方程Runge-Kutta方法的矩指数稳定及矩渐近稳定性
Runge-Kutta方法 矩指数稳定 矩渐近稳定
2012/11/13
考虑逼近随机微分方程的1.5阶Runge-Kutta法的矩指数稳定性和矩渐近稳定性, 对于标量线性检验方程, 证明了随机Runge-Kutta法的矩指数稳
定性和矩渐近稳定性是一致的, 并给出了这两种稳定性的存在条件.
Explicit Runge-Kutta time integrators for one dimensional spatially discrete semilinear parabolic equation
Semilinear parabolic equation Runge-Kutta methods
2010/9/26
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
求解声波方程的辛可分Runge-Kutta方法
哈密尔顿系统 辛算法 近似解析离散
2010/12/27
本文基于声波方程的哈密尔顿系统,构造了一种新的保辛数值格式,简称NSPRK方法.该方法在时间上采用二阶辛可分Runge-Kutta方法,空间上采用近似解析离散算子进行离散逼近.针对本文发展的新方法,我们给出了NSPRK方法在一维和二维情况下的稳定性条件、一维数值频散关系以及二维数值误差,并在计算效率方面与传统辛格式和四阶LWC方法进行了比较.最后,我们将本文方法应用于声波在三层各向同性介质和异常体...
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
Runge-Kutta methods hyperbolic systems with relaxation stiff systems
2010/12/6
We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stability-preserving (SSP...
New third order Runge Kutta based on contraharmonic mean for stiff problems
ODE solver Runge-Kutta method contraharmonic mean
2010/9/10
In this paper we introduce an explicit one–step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit third order runge-kutta method using the...
In this article, a new class of Runge-Kutta methods for initial value problems y = f(x, y) are introduced, this method replace evaluations of f with approximations of f and use the harmonic mean in ...