Travel

• Sept. 15-27 SciCADE and Zaragoza (collaboration with Juan Montijano)
• October 19-31 (vacation)

Papers to be submitted

1. Internal stability, with Lajos and Matteo (Submitted)
   • To be submitted to SINUM (also a NASA TR).
   • Target: September
2. Diffractive dispersion of linear waves, with Manuel (Submitted)
   • To be submitted to SIAM journal on applied math
   • Target: September
3. Diffractons, with Manuel (Submitted)
   • To be submitted to SIAM J. on Multiscale Modeling and Analysis
   • Target: September
4. Variable step-size SSP linear multistep methods (with Adrian, Lajos)
   • To be submitted to?
   • Target: November
5. SSP of multirate methods (with Willem) (Submitted)
   • For J. Sci. Comp.
   • Target: October
6. Optimal SSP linear multistep methods (with Adrian)
   • Target: November
7. Properties of exponential stability regions (with Lajos, Tihi)
   • Submitted to Numer. Math.

Papers to revise after getting referee reports

1. Comparison of high order extrapolation and deferred correction methods (J. Sci. Comp.) (Revised and resubmitted)
2. SSP explicit multistep RK methods (SINUM) (Revised and resubmitted)
3. Abs. Monotonicity of rational functions (LCM) (Accepted)
4. RKDG SSP (J. Sci. Comp.) (Accepted)

Developing research projects

1. Higher-order downwind Runge-Kutta methods (with Yiannis)
   • Find families of 3rd and 4th order methods (Yiannis has 3rd order)
   • Tackle implementation issues?
     • Solvers
     • Boundary conditions
2. Optimal splittings of Runge-Kutta methods (with Inma, Tihi)
   • We now have a solid draft, but are still working out some research questions.
3. Shock formation in random media (with Amal, Benson)

• Need to decide which direction to take this

5. Numerical solution of time-varying coefficient Maxwell’s equations (with Damian)

• Benson also has related results

Stuff that’s on hold:

• Combinatorial approach to waves in layered media (with Bojan Popov)
• Methods for seismic imaging (with Tariq al-Khalifah)

Week-by-week outline

• Sept. 1-5:
  • Finish diffractive dispersion reproducibility repo; submit
  • Submit internal stability paper
  • Revise diffractons paper
  • Work on multirate paper
• Sept. 8-12
  • Revise and polish linear multistep SSP paper
  • Polish and submit diffractons paper
  • Prepare SciCADE talk
  • Clean up PyClaw gallery for release of Clawpack 5.0

• Sept. 15-20: SciCADE

• Sept. 23-27: Low-storage RK methods in Zaragoza

• Sept. 29 - Oct. 3
  • Work on SSP linear multistep methods papers
  • Polish and submit multirate paper

• Oct. 5-10

• Oct. 12-17

• Oct. 19-31: On leave