THE PARALLEL BLOCK ADAPTIVE MULTIGRID METHOD FOR THE IMPLICIT SOLUTION OF THE EULER EQUATIONS
International Journal for Numerical Methods in Fluids, 1996The authors present a new block adaptive multigrid method for the computation of transonic flows. An implicit upwind cell-centered finite volume solver is used. In order to increase the accuracy of the method, the third order MUSCL approach is implemented which is based on a full multigrid solver, but instead of using global grids, locally enriched ...
Pantelelis, Nikos G. +1 more
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Discrete-Time Super-Twisting Fractional-Order Differentiator With Implicit Euler Method
IEEE Transactions on Circuits and Systems II: Express Briefs, 2021This brief proposes a discrete-time fractional-order differentiator based on the super-twisting algorithm for second-order systems. The differentiator achieves higher performance with respect to the classical ones of integer order in terms of convergence time and robustness. It relaxes the classical boundedness condition required to be satisfied by the
Rahul Kumar Sharma +3 more
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Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations
Numerische Mathematik, 2016The convergence of the Euler method is studied in application for the time integration of an abstract, quasilinear hyperbolic evolution equation. Such an abstract setting includes quasilinear Maxwell's and wave equations as special cases. The analysis shows that the Euler approximations are well-posed and convergent of order one. Both the semi-implicit
Hochbruck, Marlis, Pažur, Tomislav
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Note on the Convergence of the Implicit Euler Method
2013For the solution of the Cauchy problem for the first order ODE, the most popular, simplest and widely used method are the Euler methods. The two basic variants of the Euler methods are the explicit Euler methods EEM and the implicit Euler method IEM. These methods are well-known and they are introduced almost in any arbitrary textbook of the numerical ...
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The semi-implicit Euler method for stochastic differential delay equation with jumps
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
La-sheng Wang +2 more
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Asymptotic behavior of nonlinear delay differential–algebraic equations and implicit Euler methods
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leping Sun, Yuhao Cong, Jiaoxun Kuang
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Differential Inversion of the Implicit Euler Method
SIAM Journal on Scientific ComputingAbstract. The implicit Euler method integrates systems of ordinary differential equations [Formula: see text] with differentiable right-hand side [Formula: see text] from an initial state [Formula: see text] to a target time [Formula: see text] as [Formula: see text].
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Implicit methods of second-order accuracy for the Euler equations
AIAA Journal, 1983This paper presents a study of noniterative implicit finite difference methods for hyperbolic systems. New space-centered methods involving two time levels are considered. An analysis is made of various properties such as solvability, stability, dissipation, dispersion, and efficient solution of the algebraic systems.
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Application of a semi-implicit euler method to mass action kinetics
Chemical Engineering Science, 1981Abstract A special semi-implicit form of the Euler method is presented to solve numerically stiff differential equation systems occurring in chemical reaction networks. The procedure is especially suitable for very large networks on big computers or for moderate networks on small computers, because calculation time and core-memory requirement grow ...
P.R. Preussner, K.P. Brand
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On the application of the implicit “backward Euler” method for solving the diffusion equation
Atmospheric Environment (1967), 1989Abstract 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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