Results 121 to 130 of about 3,166 (168)

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
openaire   +1 more source

Discrete-Time Implementation of Super-Twisting Control With Semi-Implicit Euler Method

IEEE Transactions on Circuits and Systems II: Express Briefs, 2022
In this brief, a new discrete-time implementation is proposed for the super-twisting control with a semi-implicit Euler method. In contrast to the conventional realization methods, the proposed implementation scheme exploits two signum functions in the super-twisting algorithm (STA) such that the numerical chattering is totally avoided and the control ...
Xiaogang Xiong, Guangzeng Chen, Yunjiang Lou, Ruining Huang, Shyam Kamal   +4 more
openaire   +1 more source

Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations

Numerische Mathematik, 2016
The 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
openaire   +2 more sources

Application of a semi-implicit euler method to mass action kinetics

Chemical Engineering Science, 1981
Abstract 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
openaire   +1 more source

Implicit methods of second-order accuracy for the Euler equations

AIAA Journal, 1983
This 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.
openaire   +1 more source

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

AN EFFICIENT IMPLICIT MESH-FREE METHOD TO SOLVE TWO-DIMENSIONAL COMPRESSIBLE EULER EQUATIONS

International Journal of Modern Physics C, 2005
Local radial basis function-based differential quadrature (RBF-DQ) method is a natural mesh-free approach, in which any derivative of a function at a point is approximated by a weighted linear sum of functional values at its surrounding scattered points.
Chen, H.Q., Shu, C.
openaire   +2 more sources

Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation

Journal of Computational Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Limei, Xu, Da
openaire   +1 more source

Note on the Convergence of the Implicit Euler Method

2013
For 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 ...
openaire   +1 more source

Efficient Newton-Raphson and implicit Euler methods for solving the HNC equation

Molecular Physics, 1992
In this paper a new Newton-Raphson (NR) method and a new implicit Euler method are developed for numerically solving the HNC and related equations for simple fluids. The new methods are efficient, stable and easy to implement. The implicit Euler method is derived through a reformulation of the usual HNC problem into the form of an initial value problem
Anthony Busigin, Colin R. Phillips
openaire   +1 more source