DeepAI
Log In Sign Up

Spline-oriented inter/extrapolation-based multirate schemes of higher order

07/06/2022
by   Kevin Schäfers, et al.
0

Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate schemes, we construct a new subclass of schemes by using clamped cubic splines to obtain multirate schemes up to order 4. Numerical results for a n-mass-oscillator demonstrate that 4th order of convergence can be achieved for this class of schemes.

READ FULL TEXT
01/07/2020

Inter/extrapolation-based multirate schemes – a dynamic-iteration perspective

Multirate behavior of ordinary differential equations (ODEs) and differe...
11/03/2021

Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals

To obtain convergent numerical approximations without using any orthogon...
11/28/2019

Optimized Runge-Kutta (LDDRK) timestepping schemes for non-constant-amplitude oscillations

Finite differences and Runge-Kutta time stepping schemes used in Computa...
08/16/2019

An efficient implementation of mass conserving characteristic-based schemes in 2D and 3D

In this paper, we develop the ball-approximated characteristics (B-char)...
03/26/2022

On Time Stepping Schemes Considering Switching Behaviors for Power System Electromagnetic Transient Simulation

Several difficulties will appear when typical electromagnetic transient ...
01/11/2021

On symmetric-conjugate composition methods in the numerical integration of differential equations

We analyze composition methods with complex coefficients exhibiting the ...