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
research
08/01/2022

A Review on Higher Order Spline Techniques for Solving Burgers Equation using B-Spline methods and Variation of B-Spline Techniques

This is a summary of articles based on higher order B-splines methods an...
research
01/07/2020

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

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

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

To obtain convergent numerical approximations without using any orthogon...
research
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...
research
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)...
research
03/26/2022

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

Several difficulties will appear when typical electromagnetic transient ...
research
08/29/2021

Spatially Adaptive Projective Integration Schemes For Stiff Hyperbolic Balance Laws With Spectral Gaps

Stiff hyperbolic balance laws exhibit large spectral gaps, especially if...

Please sign up or login with your details

Forgot password? Click here to reset