107 citations
- McMaster UniversityCA16 papers
- Kyoto Sangyo UniversityJP5 papers
- Institute of Mathematical SciencesIN2 papers
- AIT Austrian Institute of Technology GmbHAT1 paper
- Brock UniversityCA1 paper
- Universitat de BarcelonaES1 paper
- University of AlbertaCA1 paper
- University of British ColumbiaCA1 paper
- University of LiverpoolGB1 paper
- University of VictoriaCA1 paper
20 papers
Scale-Dependent Velocity Fluctuations Generated by Molecular Collisions
Tristan Barkman
A discrete binomial random-walk description of molecular collisions is used to quantify the variance of coarse-grained velocity fields arising solely from collision-induced momentu…
On numerical solutions of the time-dependent Schrödinger equation
Wytse van Dijk
We review an explicit approach to obtaining numerical solutions of the Schrödinger equation that is conceptionally straightforward and capable of significant accuracy and efficienc…
Decay of a quasi-stable quantum system and quantum backflow
Wytse van Dijk, F. Masafumi Toyama
The decay of quasi-stable quantum system involves primarily an outgoing probability current density. However, during the transition from exponential to inverse-power-law decay ther…
Bounds on polynomial roots using intercyclic companion matrices
Kevin N. Vander Meulen, Trevor Vanderwoerd
The Frobenius companion matrix, and more recently the Fiedler companion matrices, have been used to provide lower and upper bounds on the modulus of any root of a polynomial …
Bordering for spectrally arbitrary sign patterns
Dale Olesky, Pauline van den Driessche, Kevin N. Vander Meulen
We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This…
Numerical solutions of the time-dependent Schrodinger equation in two dimensions
Wytse van Dijk, Trevor Vanderwoerd, Sjirk-Jan Prins
The generalized Crank-Nicolson method is employed to obtain numerical solutions of the two-dimensional time-dependent Schrodinger equation. An adapted alternating-direction implici…