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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
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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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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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STABILITY AND CONVERGENCE OF IMPLICIT EULER METHOD FOR FRACTIONAL DIFFUSION EQUATION

2015
This paper describes a practical numerical algorithm to solve the one dimensional fractional diffusion equation with variable coefficients. The algorithm, based on Implicit Euler method and Grunwald a approximation to fractional derivatives, will be implemented and simulated as a user-subroutine on MATLAB.
M. Abu-Saman, Awni, M. Assaf, Atef
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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   +5 more
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Discrete-Time Super-Twisting Fractional-Order Observer With Implicit Euler Method

IEEE Transactions on Circuits and Systems II: Express Briefs, 2022
Xiaogang Xiong   +5 more
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