Results 261 to 270 of about 11,311,249 (292)

Stability Analysis of the Matrix-Free Linearly Implicit Euler Method

2013
Implicit time stepping methods are useful for the simulation of large scale PDE systems because they avoid the time step limitations imposed by explicit stability conditions. To alleviate the challenges posed by computational and memory constraints, many applications solve the resulting linear systems by iterative methods where the Jacobian-vector ...
Adrian Sandu, Amik St-Cyr
openaire   +1 more source

On the application of the implicit “backward Euler” method for solving the diffusion equation

Atmospheric Environment (1967), 1989
Abstract The present paper deals with numerical effects occurring in the application of the implicit (“backward Euler”) method to solve the diffusion equation in the case of a point source (i.e. singular initial data). The numerical over-estimation of the concentration at the source level as well as conditions for an over- or under-estimation of the ...
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Generalized implicit Euler method for hyperbolic functional differential equations

Mathematische Nachrichten, 2010
AbstractNonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based on a comparison technique.
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Numerical analysis of linearly implicit Euler method for age-structured SIS model

Journal of Applied Mathematics and Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhijie Chen, Zhanwen Yang, Daili Sheng
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Solution of the Unsteady Euler Equations Using an Implicit Dual-Time Method

AIAA Journal, 1998
An unfactored implicit time-marching method for the solution of the unsteady two-dimensional Euler equations on deforming grids is described. The present work is placed into a multiblock framework and e ts into the development of a generally applicable parallel multiblock e ow solver. The convective terms are discretized using an upwind total variation
L. Dubuc, F. Cantariti, M. Woodgate, B. Gribben, K. J. Badcock, B. E. Richards   +5 more
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Implicit upwind methods for the Euler equations

6th Computational Fluid Dynamics Conference Danvers, 1983
W. MULDER, B. VAN LEER
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Convergence rates of full-implicit truncated Euler–Maruyama method for stochastic differential equations

Journal of Applied Mathematics and Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Beyond Euler's Method: Implicit Finite Differences in an Introductory ODE Course

PRIMUS, 2011
A typical introductory course in ordinary differential equations (ODEs) exposes students to exact solution methods. However, many differential equations must be approximated with numerical methods. Textbooks commonly include explicit methods such as Euler's and Improved Euler's.
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Euler Methods, Explicit, Implicit, Symplectic

2015
Ernst Hairer, Gerhard Wanner
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Discrete-Time Twisting Algorithm Implementation With Implicit-Euler ZOH Discretization Method

IEEE Transactions on Circuits and Systems II: Express Briefs, 2022
Xiaogang Xiong, Yang Bai 0006, Ran Shi, Shyam Kamal, Yujie Wang, Yunjiang Lou   +5 more
openaire   +2 more sources