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The Explicit Euler Method

The Euler implicit/explicit scheme for the Boussinesq equations

The Euler implicit/explicit scheme for the Boussinesq equations

... element method using the backward Euler scheme and Newton iteration to treat the temporal term and nonlinear term and the Euler implicit/explicit scheme with varying time step t or mesh length ...

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A note on the partially truncated Euler–Maruyama method

A note on the partially truncated Euler–Maruyama method

... truncated Euler-Maruyama method, convergence ...new explicit numerical scheme, called the partially truncated EM method, for nonlinear SDEs under the local Lipschitz ...

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An explicit Euler scheme with strong rate of convergence for financial SDEs with non-Lipschitz coefficients

An explicit Euler scheme with strong rate of convergence for financial SDEs with non-Lipschitz coefficients

... modified Euler scheme and the multilevel Monte Carlo approach in- troduced by Giles [15, ...MLMC method has also been justified for digitals, lookback and barrier options ...

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The truncated Euler–Maruyama method for stochastic differential equations

The truncated Euler–Maruyama method for stochastic differential equations

... EM method even when both drift coefficient and the diffusion coefficient are C 1 (unbounded derivatives of ...the explicit EM method will diverge in finite time for those SDEs with either the drift ...

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The truncated Euler–Maruyama method for stochastic differential equations

The truncated Euler–Maruyama method for stochastic differential equations

... classical explicit EM method has its simple algebraic structure, cheap com- putational cost and acceptable convergence rate under the global Lipschitz condition, it has been attracting lots of attention ...

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An explicit muscl scheme on staggered grids with kinetic like fluxes for the barotropic and full Euler system

An explicit muscl scheme on staggered grids with kinetic like fluxes for the barotropic and full Euler system

... the Euler scheme by the RK2 method for the time ...the Euler scheme, while with RK2 the error due to the time discretization is hidden by the error in ...

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The truncated Euler-Maruyama method for stochastic differential delay equations

The truncated Euler-Maruyama method for stochastic differential delay equations

... 6 Conclusion In this paper, we have used the new explicit method, called the truncated EM method, to study the strong convergence of the numerical solutions for nonlinear SDDEs. For a given stepsize ...

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The truncated Euler-Maruyama method for stochastic differential delay equations

The truncated Euler-Maruyama method for stochastic differential delay equations

... no explicit solutions to nonlinear SDDEs, whence numerical solutions are required in ...the Euler–Maruyama (EM) numerical solu- tions converge to the true solutions in ...

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Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations

Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations

... truncated Euler-Maruyama method, convergence ...new explicit method, called the truncated EM method, for the multi-dimensional nonlinear ...

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Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations

Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations

... truncated Euler-Maruyama method, convergence ...new explicit method, called the truncated EM method, for the multi-dimensional nonlinear ...

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Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations

Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations

... Exponential euler method, Lipschitz condition, Itˆo formula, Strong ...exponential Euler method to linear stochastic delay differential equations ...implicit Euler scheme to LSDDEs is ...

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Explicit staggered schemes for the compressible euler
          equations

Explicit staggered schemes for the compressible euler equations

... an explicit scheme for the simulation of non viscous compressible flows, modeled either by the barotropic Euler equations or by the full Euler equations for an ideal ...an explicit variant of ...

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Euler s Method and Functions

Euler s Method and Functions

... dx dt = x, x(0) = 1, the value of e could be calculated using Euler’s method. Program 3 carries out this computation. Since scientific software has highly precise algorithms for basic computations like the value ...

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1 Error in Euler s Method

1 Error in Euler s Method

... the method, not the error estimate. Knowing the order of the method allows us to obtain an accurate estimate of the error from numerical ...the Euler approximations at t = 2 using various step ...

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The Zhou’s Method for Solving the Euler Equidimensional Equation

The Zhou’s Method for Solving the Euler Equidimensional Equation

... Keywords Zhou’s Method, Equidimensional Equation, Euler Equation, DTM 1. Introduction We know that when the coefficients p x ( ) and q x ( ) are analytic functions on a given domain, then the equation y ′′ ...

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A relationship between the modified Euler method and e

A relationship between the modified Euler method and e

... f(x,y) y by a generalization of the modified Euler method yields a sequence of approximates that converge to e.. Bounds on the rapidity of convergence are determined,.[r] ...

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Impulsive differential equations by using the Euler method

Impulsive differential equations by using the Euler method

... However, many impulsive differential equations cannot be solved analytically or their solving is complicated. In this paper, we represent the algorithm which follows the theory of impulsive differential equations to ...

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Capital allocation in financial institutions: the Euler method

Capital allocation in financial institutions: the Euler method

... As a second approach we generated return time series from a copula. Because of the presence of simultaneous extreme returns in real life copulas should be even better in modeling the returns of financial assets. We chose ...

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Reduction of reactivity fluctuation with the 
		Euler Maclaurin method

Reduction of reactivity fluctuation with the Euler Maclaurin method

... 2 Departamento de Física, Universidad del Valle, A.A, Cali, Colombia E-Mail: [email protected] ABSTRACT This work presents the Euler-Maclaurin method with a first-order delay low-pass filter for ...

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The Bipenalty Method for Explicit Structural Dynamics

The Bipenalty Method for Explicit Structural Dynamics

... alty method is usually superior when compared to the bipenalty method with pen- alty parameters of similar ...in explicit dynamics this comparison does not tell the whole ...bipenalty method ...

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