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Stability Analysis of the Matrix-Free Linearly Implicit Euler Method
2013Implicit 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, 2010AbstractNonlinear 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 ComputingzbMATH 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, 1983W. MULDER, B. VAN LEER
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Journal of Applied Mathematics and Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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, 2011A 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
2015Ernst Hairer, Gerhard Wanner
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STABILITY AND CONVERGENCE OF IMPLICIT EULER METHOD FOR FRACTIONAL DIFFUSION EQUATION
2015This 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, 2022Xiaogang 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, 2022Xiaogang Xiong +5 more
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