نتایج جستجو برای: euler method

تعداد نتایج: 1646194  

2012
Xianbiao Jia Hong Li Yang Liu Zhichao Fang

In this paper, an H-Galerkin mixed finite element method is discussed for the coupled Burgers equations. The optimal error estimates of the semi-discrete and fully discrete schemes of the coupled Burgers equation are derived. Keywords—The coupled Burgers equation; H-Galerkin mixed finite element method; Backward Euler’s method; Optimal error estimates.

Journal: :J. Comput. Physics 2010
Andrea Bonito Ricardo H. Nochetto M. Sebastian Pauletti

We consider geometric biomembranes governed by an L-gradient flow for bending energy subject to area and volume constraints (Helfrich model). We give a concise derivation of a novel vector formulation, based on shape differential calculus, and corresponding discretization via parametric FEM using quadratic isoparametric elements and a semi-implicit Euler method. We document the performance of t...

Journal: :Multiscale Modeling & Simulation 2011
Ioana Cipcigan Muruhan Rathinam

In contrast to stiff deterministic systems of ordinary differential equations, in general, the implicit Euler method for stiff stochastic differential equations is not effective. This paper introduces a new numerical method for stiff differential equations which consists of interlacing large implicit Euler time steps with a sequence of small explicit Euler time steps. We emphasize that uniform ...

Journal: :EURASIP J. Audio, Speech and Music Processing 2009
Don Morgan Sanzheng Qiao

There are many ways of synthesizing sound on a computer. The method that we consider, called a mass-spring system, synthesizes sound by simulating the vibrations of a network of interconnected masses, springs and dampers. Numerical methods are required to approximate the differential equation of a mass-spring system. The standard numerical method used in implementing mass-spring systems for use...

Journal: :J. Comput. Physics 2007
Carlos J. García-Cervera Xiao-Ping Wang

We present a semi-implicit numerical method for micromagnetics simulations, in the presence of spin-currents. The dynamics of the magnetization are described by the Landau–Lifshitz–Gilbert equation, while the dynamics of the spin are described by a diffusion equation with discontinuous coefficients. The complexity of the method presented is comparable to that of solving the linear heat equation...

2011
WALTER ALT ROBERT BAIER MATTHIAS GERDTS FRANK LEMPIO

We analyze the Euler discretization to a class of linear-quadratic optimal control problems. First we show convergence of order h for the optimal values, where h is the mesh size. Under the additional assumption that the optimal control has bang-bang structure we show that the discrete and the continuous controls coincide except on a set of measure O( √ h). Under a slightly stronger assumption ...

Journal: :TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 1991

1994
Vlad BALLY Denis TALAY

We study the approximation problem of IEf(XT ) by IEf(Xn T ), where (Xt) is the solution of a stochastic differential equation, (Xn t ) is defined by the Euler discretization scheme with step Tn , and f is a given function. For smooth f ’s, Talay and Tubaro have shown that the error IEf(XT )−f(Xn T ) can be expanded in powers of 1 n , which permits to construct Romberg extrapolation procedures ...

Journal: :Journal of Computational and Applied Mathematics 1995

E. Ahmady N. Ahmady, T. Allahviranloo

In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To sho...

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