From: "David S. Bindel" To: NA-DIGEST-L Subject: NA Digest, V. 26, # 37 Date: Fri, 11 Sep 2026 10:50:45 +0000 NA Digest Friday, September 11, 2026 Volume 26 : Issue 37 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/ ------------------------------------------------------- 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. ------------------------------------------------------- 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 ------------------------------------------------------- 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 ------------------------------------------------------- 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. ------------------------------------------------------- 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 ------------------------------------------------------- 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. ------------------------------------------------------- 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 ------------------------------------------------------- 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 ------------------------------------------------------- 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 ------------------------------------------------------- End of Digest **************************