A stencil-adaptive SBP-SAT finite difference scheme is shown to display
...
Taking insight from the theory of general relativity, where space and ti...
Many applications rely on solving time-dependent partial differential
eq...
In this article we develop a high order accurate method to solve the
inc...
We derive new boundary conditions and implementation procedures for nonl...
We extend the construction of so-called encapsulated global
summation-by...
We present a novel framework based on semi-bounded spatial operators for...
Summation-by-parts (SBP) operators allow us to systematically develop
en...
We derive new boundary conditions and implementation procedures for nonl...
Motivated by the fact that both the classical and quantum description of...
Radial basis function methods are powerful tools in numerical analysis a...
We derive entropy conserving and entropy dissipative overlapping domain
...
Summation-by-parts (SBP) operators are popular building blocks for
syste...
We show that a specific skew-symmetric form of hyperbolic problems leads...
Linearisation is often used as a first step in the analysis of nonlinear...
We use the energy method to study the well-posedness of initial-boundary...
We use the behavior of the L_2 norm of the solutions of linear hyperboli...
We prove that the most common filtering procedure for nodal discontinuou...
Since integration by parts is an important tool when deriving energy or
...
In the research community, there exists the strong belief that a continu...
A pure Galerkin scheme is notoriously unstable. To remedy this issue,
st...
We compare and contrast information provided by the energy analysis of K...