SBP

A short introduction to summation-by-parts (SBP) for non-linearly stable schemes

Introduction to summation-by-parts operators for non-linearly stable numerical schemes.

The capabilities of summation-by-parts operators for non-linear stability of semi-discrete schemes

Workshop presentation on capabilities of SBP operators for non-linear stability.

The capabilities of summation-by-parts and structure-preserving operators for compressible computational fluid dynamics and reaction-diffusion models

With the algorithm’s suitability for exploiting current petascale and next-generation exascale supercomputers, stable and structure-preserving properties are necessary to develop predictive computational tools. In this dissertation, …

The capabilities of summation-by-parts operators for non-linear stability of semi-discrete schemes

Conference presentation on SBP operators for non-linear stability.

Summation-by-parts and structure preserving operators for nonlinear stability of conservation laws

Workshop presentation on SBP and structure preserving operators.

Recent results on time integration methods for summation-by-parts schemes

Presentation on time integration methods for summation-by-parts schemes.