Today's Editor:
David S. Bindel
Cornell University
bindel@cornell.edu
Today's Topics:
Two hundred open problems in Numerical Linear Algebra
Software Release, pyMOR 2026.1
Version 14.1 of INTLAB, the MATLAB/Octave toolbox for Reliable Computing
Call for MS, ADMOS 2027, Barcelona, Spain, June 2027
David N. Keck Chair in Applied Analysis, Ohio University
Postdoctoral Position in SciML at the University of Arizona
PhD position in inverse modeling and optimization, BCAM, Spain
PhD position in analysis of PDEs for fluids, BCAM, Spain
Research technician position in smart wearables, BCAM, Spain
See this issue of NA Digest on the web at:
https://na-digest.coecis.cornell.edu/na-digest-html/26/v26n37.html
Submissions, FAQs, and archives:
https://na-digest.coecis.cornell.edu/
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From: Alex Townsend townsend@cornell.edu
Date: September 10, 2026
Subject: Two hundred open problems in Numerical Linear Algebra
I would like to announce a GitHub collection of 200 open problems in
numerical linear algebra and related matrix theory:
https://github.com/ajt60gaibb/OpenProblemsInNLA
My motivation is that by making open conjectures more visible AI
agents and/or humans can more easily solve them.
Each entry in the repository includes a mathematical statement,
references, an estimated difficulty level and impact ratings, and
downloadable PDF and LaTeX versions.
Please submit solutions to the GitHub repository, with proofs and
supporting references, through issues or pull requests.
Counterexamples, corrections and suggestions for additional
problems are also very welcome. I plan to add more over the next few
months. Any problem added to the repository must have the conjecture
appearing in a published NLA book or paper.
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From: Hendrik Kleikamp hendrik.kleikamp@uni-graz.at
Date: September 04, 2026
Subject: Software Release, pyMOR 2026.1
We are proud to announce the release of pyMOR 2026.1!
This release includes an adaptive and randomized ERA reductor,
classes for matrix-equation solvers, an implementation of
adaptive model hierarchies and energy-stable projection
for port-Hamiltonian systems.
Read the full release notes at
https://docs.pymor.org/2026-1-0/release_notes/all.html
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From: Siegfried Rump rump@tuhh.de
Date: September 09, 2026
Subject: Version 14.1 of INTLAB, the MATLAB/Octave toolbox for Reliable Computing
INTLAB computes rigorous error bounds for numerical problems in
floating-point, where results are always mathematically guaranteed to
be correct.
INTLAB is entirely written in MATLAB®/Octave and comprises some 2000
m-files with 75KLOC w/o comments, 139KLOC with comments. It includes
problem solving routines for full and sparse, real and complex linear
and nonlinear systems, local/global optimization, ODEs and more. The
ODE toolbox was designed and written by Florian Bünger.
Changes to the previous Version 14 of INTLAB are:
- The sparse systems solvers are updated accepting nearly
s.p.d. and/or nearly symmetric/Hermitian matrices.
- The fast matrix residual algorithms prodK and spProdK are updated
with new features (entirely written by Marko Lange).
- The function "helpintlab" finds functions by header and/or help text.
- About half of the 2000 m-files were changed/improved.
An introduction to INTLAB and many toolboxes and "helptintlab" is in
https://www.tuhh.de/ti3/paper/rump/INTLAB2026final.pdf
There are 25 standalone demo files to be inspected at
https://www.tuhh.de/ti3/rump/intlab/demos/html/index.html
INTLAB is available at https://www.tuhh.de/ti3/rump/intlab
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From: Matteo Giacomini matteo.giacomini@upc.edu
Date: September 08, 2026
Subject: Call for MS, ADMOS 2027, Barcelona, Spain, June 2027
The XIII International Conference on Adaptive Modeling and Simulation
(ADMOS 2027) will be held in Barcelona, Spain on June 14-16, 2027
(https://admos2027.cimne.com/). The Organising Committee invites
proposals for Minisymposia (MS).
ADMOS is a Thematic Conference of the European Community on
Computational Methods in Applied Sciences (ECCOMAS) and a Special
Interest Conference of the International Association for Computational
Mechanics (IACM). The ADMOS conference series targets the challenges
of reliability and efficiency in numerical simulations, with the
objective of balancing accuracy and computational effort, towards the
development of predictive digital twins. Topics of interest include:
- Advanced techniques to guarantee credibility of simulations:
high-order discretisations; error estimation; validation &
verification; uncertainty quantification; mesh and degree
adaptation; time step control; model updating.
- Efficient solutions for many-queries applications: reduced-order and
surrogate models; data-driven models; multi-fidelity models;
statistical computing; scientific machine learning; reinforcement
learning.
- Frontier disciplines in computational science and engineering aiming
to strengthen the synergy between credible results and affordable
computation: discretisations on hybrid/polygonal meshes; automatic
mesh generation; statistical learning and optimisation; low-rank
approximations; behavioral approach; quantum scientific computing.
Researchers interested in organising an MS can submit a proposal
within the topics of the conference. Each MS is expected to consist of
at least one 2- hour session which may be organised as follows:
- 6 invited talks of 20 minutes;
or
- 1 keynote lecture of 40 minutes + 4 invited talks of 20 minutes.
The above schedule includes time for questions and discussion. MS
failing to fill six presentation slots can be completed by the
conference organisers with contributed papers covering topics related
to the MS.
Detailed instructions for MS proposals:
https://admos2027.cimne.com/call_for_ms
Submission deadline for MS proposals: September 21, 2026.
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From: Martin Mohlenkamp mohlenka@ohio.edu
Date: September 04, 2026
Subject: David N. Keck Chair in Applied Analysis, Ohio University
The Department of Mathematics at Ohio University seeks applicants
for the endowed David N. Keck Chair in Applied Analysis, at the
rank of (full) Professor with tenure, to increase the national
prominence of the college and university in this academic area. The
Chair will
• Guide the newly established David N. Keck Center for Applied
Mathematics,
• Conduct scholarly research,
• Share knowledge with our university communities,
• Mentor students at all levels, including directing doctoral
dissertations and supervising postdoctoral researchers,
• Teach undergraduate and graduate courses, and
• Participate in the general activities of the department.
The Chair filling this position should be well placed at the
intersection of applied mathematics and analysis, especially in the
development and application of differential and integral equations,
dynamical systems, probability theory and stochastic processes,
numerical analysis and other areas rooted in the general area of
analysis.
The David N. Keck Center for Applied Mathematics was established to
advance research, teaching, and innovation in the field of applied
mathematics by supporting faculty excellence, student development,
and scholarly collaboration.
Further information: https://www.ohiouniversityjobs.com/postings/57617
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From: Marwan Krunz krunz@arizona.edu
Date: September 08, 2026
Subject: Postdoctoral Position in SciML at the University of Arizona
We are seeking a highly motivated Postdoctoral Researcher to play a
leading role in the cutting-edge, DOE funded Genesis Mission (PARSE:
Physics- Informed Adversarial Robustness for Scientific AI enabled
Workflows). SciML models are increasingly being used to accelerate
discovery in computational fluid dynamics (CFD), climate forecasting,
and more. However, these complex pipelines present unique
vulnerabilities to sophisticated adversarial attacks, including data
poisoning, evasion attacks, GenAI supply-chain corruption, and
others. The overarching goal of the PARSE project is to develop
AI-powered tools that leverage domain-specific properties, physical
constraints, and system behaviors to detect and diminish the impact of
adversarial attacks on scientific AI models without sacrificing
macroscopic physical fidelity. The project is a collaboration between
the University of Arizona and Lawrence Berkeley National Laboratory
(LBNL).
Key Responsibilities: The ideal candidate will be able to work at the
intersection of AI, cybersecurity, and scientific computing. Key
responsibilities will include:
- Adversarial Threat Modeling: Formulate and execute novel adversarial
attacks (untargeted/targeted evasion, balanced/imbalanced training
data poisoning, GenAI synthetic-data poisoning) against scientific AI
workflows, targeting structured PDE trajectories, atmospheric fields,
and CFD datasets.
- Physics-Informed Defense & Sanitization: Develop automated data
sanitization techniques that leverage hard constraints (conservation
laws, boundary conditions, PDE residuals) to filter poisoned data both
pre- ingestion and post-ingestion (in the embedding/latent space).
- Model Hardening: Harden state-of-the-art architectures via physics-
informed adversarial training, training-time influence monitoring,
ensemble models, and the use of digital twins.
- Benchmarking & Evaluation: Measure tradeoffs in robustness,
predictive accuracy, and physical consistency across large-scale DOE
datasets.
- Collaboration & Publication: Work closely with cross-institutional
teams (including domain scientists at DOE national labs), co-lead
critical project milestones, write reports for the DOE, and publish
findings in top-tier machine learning, computational science, and
security venues.
More details, including required/preferred qualifications and how to
apply can be found at https://wicon.arizona.edu/openings.
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From: Ana López alopez@bcamath.org
Date: September 11, 2026
Subject: PhD position in inverse modeling and optimization, BCAM, Spain
The Basque center for Applied Mathematics (BCAM) in Bilbao, Spain, is
advertising for the following position:
IC2026_07_05_PhD student_MSCA-DN e-ChemIn (DC5): In-silico
reconstruction of solid-liquid and solid-solid electrochemical
interfaces at the nanoscale.
Deadline: Sept 20, 2026
The Basque Center for Applied Mathematics (BCAM) is hiring a PhD
candidate (DC5) under the Marie Skłodowska-Curie MSCA-DN e-ChemIn
project.
• Project: Develop inverse modeling and optimization methods (Bayesian
sampling, Monte Carlo, ML) to build 3D atomistic models of
solid-liquid and solid-solid interfaces for next-generation energy
storage (e.g., Na-ion batteries).
• Secondments: Research stays at INM (Germany), CIC energiGUNE
(Spain), and KTH (Sweden).
• Requirements:
o Master’s degree in Applied Mathematics, Physics, Computational
Chemistry, or related fields.
o Experience in atomistic simulations (MD, MC) and scientific
programming (Python/C++/Julia).
o Excellent command of English.
o MSCA Mobility Rule: Must not have resided or worked in Spain for
more than 12 months in the last 3 years (and must not hold a PhD).
• Offer: 36-month full-time contract starting Nov 2026 – Apr 2027.
Competitive MSCA salary (living + mobility + family allowance) with
local tax benefits in Bizkaia.
Apply online: https://joboffers.bcamath.org/apply/ic2026-07-05-phd-student-msca-dn-e-chemin-dc5-in-silico-reconstruction-of-solid-liquid-and-solid-solid-electrochemical-interfaces-at-the-nanoscale
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From: Ana López alopez@bcamath.org
Date: September 11, 2026
Subject: PhD position in analysis of PDEs for fluids, BCAM, Spain
The Basque center for Applied Mathematics (BCAM) in Bilbao, Spain, is
advertising for the following position:
IC2026_07_06_PhD Position: Theoretical Analysis of Partial
Differential Equations (PDEs)
Deadline: Sept 20, 2026 (14:00 CET)
The Basque Center for Applied Mathematics (BCAM) is launching a 4-
year PhD position under the supervision of Dr. Francesco Fanelli,
funded by the AEI project GHOST.
• Project: Theoretical analysis of PDE systems modeling fluid dynamics
(well-posedness, qualitative properties, asymptotic analysis, and
singular limits) using harmonic/Fourier analysis, functional
analysis, and distribution theory.
• Host & PhD Program: APDE research group at BCAM with enrolment in
the Mathematics & Statistics PhD program at the University of the
Basque Country (UPV/EHU). Includes funding for international
research stays, conference attendance, and seminars.
• Requirements:
o Bachelor’s and Master’s degree in Pure or Applied Mathematics.
o Strong background in Mathematical Analysis, Calculus, Functional
Analysis, Distribution Theory, and ODEs/PDEs.
o Fluency in English and strong communication/teamwork skills.
• Offer: 4-year contract starting Jan 1, 2027. Gross annual salary of
€25,456 + up to €500 moving allowance + family allowances (if
applicable) + Spanish Public Health System coverage.
Apply online: https://joboffers.bcamath.org/apply/ic2026-07-06-ph-d-position-in-theoretical-analysis-of-pde
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From: Ana López alopez@bcamath.org
Date: September 11, 2026
Subject: Research technician position in smart wearables, BCAM, Spain
The Basque center for Applied Mathematics (BCAM) in Bilbao, Spain, is
advertising for the following position:
IC2026_07_01_Research technician in Smart Wearables in Elite Sports
Deadline: Sept 15, 2026 (14:00 CET)
The Basque Center for Applied Mathematics (BCAM) is hiring a Research
Technician under the supervision of Dr. Elisabetta de Giovanni for the
PrediSense and SWEATHEART projects.
• Project: Fieldwork and data science to automate cardiorespiratory
parameter detection in elite athletes using wearable sensors.
Involves active collaboration with Bilbao Kirolak across 6 rugby,
basketball, and football teams. Suitable as a Master's Thesis
project for enrolled students.
• Requirements:
o Bachelor’s or Master’s degree (completed or near completion) in
Biomedical Engineering, Applied Mathematics, Computer Science, or
related fields.
o Interest in fieldwork and basic/intermediate skills in biosignal
processing and programming (Python/Matlab).
o Fluency in English.
• Offer: 1-year contract (starting ASAP). Gross annual salary of
€20,663 – €29,075.
Apply online :https://joboffers.bcamath.org/apply/ic2026-07-01-research-technician-in-smart-wearables-in-elite-sports
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End of Digest
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