A conference on numerical analysis and scientific computing
for graduate students and postdocs in the Mid-Atlantic region.

This one-day meeting will start at 10am to allow same-day travel.

It will be held in Room 617
Wachman Hall, Temple University, 1805 North Broad Street, just north of Montgomery Avenue.

It is an opportunity for graduate students and postdocs to present their research, and to meet other researchers.

There will be contributed talks and a poster session.

There is no registration fee, and no support for travel. Lunch will be provided.

We ask every participant to please register in advance, even if they are not planning to give a talk.

## Keynote SpeakerMark Embree, Virginia Tech ## Spectral Computations for QuasicrystalsIn 2011, Dan Shechtman was awarded the Nobel Prize in Chemistry for his discovery of quasicrystals, novel materials with properties somewhere between the regularity of crystals and the disorder of random structures. In parallel with this scientific breakthrough, mathematicians have developed models of aperiodic order, such as Fibonacci substitutions and Penrose tilings. The self-adjoint linear operators based on such models often exhibit intriguing spectral structure. For example, the spectrum of the Fibonacci Hamiltonian is a zero-measure Cantor set. How can one approximate such fine structure using eigenvalue computations with finite dimensional matrices? Can one estimate quantities like fractal dimension of the spectrum and the integrated density of states? We will describe several aperiodic models, discuss their spectral properties, illustrate some numerical tools we can use to approach these problems, and show results from our calculations. This talk describes collaborations with Matt Colbrook, David Damanik, Jake Fillman, Anton Gorodetski, and May Mei. |

If you would like to participate (in any form), please register using the
online registration form.

Deadline for the submission of talks: October 18, 2024.

Conference PosterClick to download a PDF. |
Conference BookletClick to download the conference booklet. |

9:15-9:50 | Registration and breakfast (provided) |

9:50-10:00 | Opening remarks |

10:00-11:00 | Presentations (Algorithms) |

11:00-11:15 | Coffee Break |

11:15-12:15 | Presentations (Data Science) |

12:15-1:30 | Posters and lunch (provided) |

1:30-2:30 | Keynote lecture (Mark Embree) |

2:30-2:45 | Coffee break |

2:45-3:45 | Presentations (Numerical Differential Equations) |

3:45-4:00 | Coffee break |

4:00-5:00 | Presentations (Numerical Linear Algebra) |

5:00-5:10 | Closing remarks |

6:00-8:00 | Group dinner (attendance optional) |

Algorithms | ||||
---|---|---|---|---|

Chenyang | Cao | Purdue University | Kernel matrix approximations by sums of exponentials and stability of fast structured transforms | |

Chenyang | Islam | Lehigh University | Acceleration of approximate maps for matrices arising in discretized PDEs | |

Hai | Zhu | Flatiron Institute | Recursive reduction quadrature for the evaluation of Laplace layer potentials in three dimensions | |

Data Science | ||||

Mikhail | Lepilov | Emory University | Estimating kernel matrix eigenvalues | |

Sonia Marlena | Reilly | New York University | Bayesian inversion of PDE-based problems using integrated nested Laplace approximations | |

Annan | Yu | Cornell University | Training an LTI system without an objective: A numerical analyst's perspectives on state-space models | |

Numerical Differential Equations | ||||

Hamad | El Kahza | University of Delaware | Adaptive-rank implicit time integrator for advection-diffusion transport equations with inhomogeneous coefficients | |

Zachary | Miksis | Temple University | A new Fick-Jacobs derivation with applications to computational branched diffusion networks | |

Mansur | Shakipov | University of Maryland, College Park | Inf-sup stability of parabolic TraceFEM | |

Numerical Linear Algebra | ||||

Noah | Amsel | New York University | Fixed-sparsity matrix approximation from matrix-vector products | |

Robin John | Armstrong | Cornell University | “Collect, commit, expand”: A strategy for faster CPQR-based column selection on short, wide matrices | |

Tyler | Chen | New York University | Near-optimal hierarchical matrix approximation from matrix-vector products |

Pierre | Amenoagbadji | APAM Columbia | Wave propagation in junctions of periodic half-spaces | |

Caroline | Huber | New York University | Preconditioning without a preconditioner: Faster ridge-regression and Gaussian sampling with randomized block Krylov methods | |

Sean T. | McQuade | Temple University | Modeling lipid metabolism for multiple classes of virtual patient | |

Afrina Asad | Meghla | Temple University | Modeling and simulation of calcium influx through NMDA receptors and its activation of TRPM4 channels | |

Madison | Shoraka | Temple University | Modeling growth of pCF10-induced complex structures in Enterococcus faecalis biofilm under erythromycin treatment | |

Jovan | Zigic | McMaster University | Stochastic variants of gradient descent for PDE-constrained optimization on Riemannian manifolds |

Make your own arrangements. Please feel free to contact us for information on accommodation.

Email: naday -at- temple.edu

Benjamin Seibold and Daniel B. Szyld

Sponsored and supported by the Department of Mathematics, the College of Science and Technology, the Graduate School, the Center for Computational Mathematics and Modeling, Temple University, and the Simons Foundation.

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