The Euler Method
Svetlin G. Georgiev, Khaled Zennir · 2024
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About 10,000 papers for “Euler method”
Svetlin G. Georgiev, Khaled Zennir · 2024
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Hidemi Mutsuda · Advanced series on ocean engineering · 2013
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Muhammad Altaf Khan, Abdon Atangana · 2023
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Laurent Najman · Journal of Mathematical Analysis and Applications · 1995
Cited by 5Open access
Karl Nickel · Defense Technical Information Center (DTIC) · 1971
The method prescribed accelerates the speed of convergence in a large class of alternating series. A priori bounds are given. A numerical algorithm is discussed. (Author)
Cited by 1
Mauricio Anigstein · Journal of Robotic Systems · 1999
The Newton–Euler method for the calculation of the manipulator dynamics is analyzed, using a general form of the Euler equation for the rigid body. The proposed approach allows the direct resolution of manipulator problems which previously seemed to need specific methods to be tackled. The coordinate systems role and the validity of the obtained equations for revolute and prismatic joints are clarified. ©1999 John Wiley & Sons, Inc.
Cited by 4
Dong Won Yu · Korean Journal of Computational & Applied Mathematics · 1997
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2009
This chapter contains sections titled: The backward Euler method The trapezoidal method
Cited by 4
Shamsa Basirat, Seyed Ali Akbar Salehi Neyshabouri · 2016
Local scour around hydraulic structures have a significant impact on the design of them. Therefore, understanding the behavior of flow and changes of bed, influenced by the presence of structure on flow field is inevitable.
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Taekyun Kim, Dae San Kim, Hyunseok Lee et al. · arXiv (Cornell University) · 2025
This paper introduces a degenerate version of the Euler-Seidel method by incorporating a parameter lambda into the classical recurrence relation. We define a degenerate Euler-Seidel matrix associated with an initial sequence and establish corresponding lambda-generalized binomial identities and generating function relations. By applying this method to the degenerate Bernoulli, Euler, and Genocchi polynomials, we derive several new combinatorial identities. This work extends the classical Euler-Seidel method to the domain of degenerate special polynomials and numbers, providing a new framework for studying their properties.
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Taekyun Kim, Dae San Kim, Hyunseok Lee et al. · ArXiv.org · 2025
This paper introduces a degenerate version of the Euler-Seidel method by incorporating a parameter lambda into the classical recurrence relation. We define a degenerate Euler-Seidel matrix associated with an initial sequence and establish corresponding lambda-generalized binomial identities and generating function relations. By applying this method to the degenerate Bernoulli, Euler, and Genocchi polynomials, we derive several new combinatorial identities. This work extends the classical Euler-Seidel method to the domain of degenerate special polynomials and numbers, providing a new framework for studying their properties.
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Laying Tam · OhioLink ETD Center (Ohio Library and Information Network) · 1990
Cited by 3Open access
Universiti Teknologi MARA, Izani Salleh, Amiruddin Ab Aziz et al. · Journal of Advanced Mechanical Engineering Applications · 2024
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Halder, Y Yous van · TU/e Research Portal (Eindhoven University of Technology) · 2014
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A. Jameson, Timothy J. Baker · 25th AIAA Aerospace Sciences Meeting · 1987
An unstructured mesh of tetrahedra offers an attractive approach to mesh generation for complex three dimensional shapes. The combination of a method for constructing tetrahedral meshes and a finite element technique for solving the Euler equations has resulted in a powerful new approach to the problem of calculating flows over complex geometries. Recent progress and improvements to the authors' aircraft Euler method are described and results presented to demonstrate its capability.
Cited by 162
Cédric Josz · arXiv (Cornell University) · 2025
We extend the Lyapunov stability criterion to Euler discretizations of differential inclusions. It relies on a pair of Lyapunov functions, one in continuous time and one in discrete time. In the context of optimization, this yields sufficient conditions for the stability of nonisolated local minima when using the Bouligand subgradient method.
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van Y Yous Halder · Data Archiving and Networked Services (DANS) · 2014
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N. Kjurkchiev · Journal of Computational and Applied Mathematics · 1995
Cited by 8
Kisker, Kai · Universitätsbibliographie, Universität Duisburg-Essen · 2025
In this thesis we propose a new explicit Euler-type approximation method for stochastic differential equations (SDEs). In this method, Brownian increments in the recursion of the Euler method are replaced by suitable bounded functions of the Brownian increments. We prove strong convergence rate one-half for a large class of SDEs with polynomial coefficient functions whose local monotonicity constant grows at most like the logarithm of a Lyapunov-type function.
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M. Srinivas, Md. Shafeeur Rahman · International Journal of Engineering Applied Sciences and Technology · 2021
t— There exist many single step methods to find the solution to a first order ordinary differential equation. Often time consuming and complicated. The proposed method is the alternate way of Euler modified method in the tabular form. Easy to understand and calculate
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