نتایج جستجو برای: backward euler method

تعداد نتایج: 1665299  

Journal: :Numerische Mathematik 2001
John W. Barrett James F. Blowey

Using a slightly diierent discretization scheme in time and adapting the approach in Nochetto et al: (1998) for analysing the time discretization error in the backward Euler method, we improve on the error bounds derived in (i) Barrett and Blowey (1998) and (ii) Barrett and Blowey (1999c) for a fully practical piece-wise linear nite element approximation of a model for phase separation of a mul...

Journal: :Lobachevskii Journal of Mathematics 2023

In this paper a variant of nonlinear exponential Euler scheme is proposed for solving heat conduction problems. The method based on iterations where at each iteration linear initial-value problem has to be solved. We compare the backward combined with iterations. For both methods we show monotonicity and boundedness solutions give sufficient conditions convergence Numerical tests are presented ...

2017
Miguel Chaves José Fernando Silva Sónia Ferreira Pinto Elmano Margato João Santana

This paper presents a backward Euler stabilized-based control strategy applied to a neutral point clamped (NPC) back-to-back connected five level converters. A generalized method is used to obtain the back-to-back NPC converter system model. The backward Euler stabilized-based control strategy uses one set of calculations to compute the optimum voltage vector needed to reach the references and ...

Journal: :CoRR 2017
Penghang Yin Minh Pham Adam M. Oberman Stanley Osher

In this paper, we propose an implicit gradient descent algorithm for the classic k-means problem. The implicit gradient step or backward Euler is solved via stochastic fixed-point iteration, in which we randomly sample a mini-batch gradient in every iteration. It is the average of the fixed-point trajectory that is carried over to the next gradient step. We draw connections between the proposed...

Journal: :Computational methods in applied mathematics 2021

Abstract We analyze backward Euler time stepping schemes for a primal DPG formulation of class parabolic problems. Optimal error estimates are shown in natural norm and the L 2 {L^{2}} field variable. For heat equation solution our equals standard Galerkin scheme and, thus, optimal bound...

Journal: :Mathematics and Computers in Simulation 2009
Miroslav Halilovic Marko Vrh Boris Stok

The paper presents a simple but efficient new numerical scheme for the integration of nonlinear constitutive equations. Although it can be used for integration of system of algebraic and differential equations in general, the scheme is primarily developed for use with direct solution methods for solving boundary value problems, e.g. explicit dynamic analysis in ABAQUS/Explicit. In the developed...

Journal: :IEEE Trans. on CAD of Integrated Circuits and Systems 1992
Luís Miguel Silveira Jacob K. White Horácio C. Neto Luís M. Vidigal

In this paper, the stability and accuracy properties of exponentially-t integration algorithms applied to the test problem x= ?Ax are compared to the more standard backward-Euler and semi-implicit methods. For the analysis, A 2 R nn is assumed to be connectedly diagonally-dominant with positive diagonals, as this models the equations resulting from the way MOS transistors and interconnect paras...

2013
Lukasz Szpruch

In this talk we introduce a family of numerical approximations for the stochastic differentialequations (SDEs) with, possibly, no-globally Lipschitz coefficients. We show that for a given Lyapunovfunction V : R → [1,∞) we can construct a suitably tamed Euler scheme that preserves so calledV-stability property of the original SDEs without imposing any restrictions on the time dis...

2007
J. Česenek

Abstract. This paper deals with the formulation of a numerical scheme for solving compressible flow past moving bodies. We use the discontinuos Galerkin finite element method for the space semi-discretization and the Euler backward formula for the time discretization. Moreover, we use ALE mapping for the treatment of a time depended domain and the linearization of inviscid terms using the Vijay...

Journal: :Math. Comput. 2012
Panagiotis Chatzipantelidis Raytcho D. Lazarov Vidar Thomée

We study the spatially semidiscrete lumped mass method for the model homogeneous heat equation with homogeneous Dirichlet boundary conditions. Improving earlier results we show that known optimal order smooth initial data error estimates for the standard Galerkin method carry over to the lumped mass method whereas nonsmooth initial data estimates require special assumptions on the triangulation...

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