Comparison of efficiency among different techniques to avoid order reduction with Strang splitting

2020 ◽  
Vol 37 (1) ◽  
pp. 854-873
Author(s):  
Isaías Alonso‐Mallo ◽  
Begoña Cano ◽  
Nuria Reguera
Keyword(s):  
Order Reduction ◽  
Strang Splitting

scholarly journals A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions

2021 ◽  
Author(s):  
L. Einkemmer ◽  
A. Ostermann ◽  
M. Residori
Keyword(s):  
Boundary Conditions ◽  
Splitting Method ◽  
Order Reduction ◽  
Second Order ◽  
Splitting Scheme ◽  
Transparent Boundary Conditions ◽  
Order Accuracy ◽  
Inflow Boundary Condition ◽  
Strang Splitting ◽  
Pseudo Spectral

AbstractThe present work proposes a second-order time splitting scheme for a linear dispersive equation with a variable advection coefficient subject to transparent boundary conditions. For its spatial discretization, a dual Petrov–Galerkin method is considered which gives spectral accuracy. The main difficulty in constructing a second-order splitting scheme in such a situation lies in the compatibility condition at the boundaries of the sub-problems. In particular, the presence of an inflow boundary condition in the advection part results in order reduction. To overcome this issue a modified Strang splitting scheme is introduced that retains second-order accuracy. For this numerical scheme a stability analysis is conducted. In addition, numerical results are shown to support the theoretical derivations.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

Malware detection based on attributes order reduction

2011 ◽  
Vol 31 (4) ◽  
pp. 1006-1009
Author(s):  
Ning GUO ◽  
Xiao-yan SUN ◽  
He LIN ◽  
Hua MOU
Keyword(s):  
Malware Detection ◽  
Order Reduction
Sign in / Sign up

Export Citation Format

Share Document