NA Digest, V. 23, # 22

NA Digest Monday, October 23, 2023 Volume 23 : Issue 22


Today's Editor:

Daniel M. Dunlavy
Sandia National Labs
dmdunla@sandia.gov

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From: Martin Koehler koehlerm@mpi-magdeburg.mpg.de
Date: October 18, 2023
Subject: Software: Matrix Equations Package - MEPACK 1.1.0 released


MEPACK is a Fortran software library for solving dense
Sylvester-type matrix equations using optimized variants of the
Bartels-Stewart algorithm. These include optimized level-2
kernels, level-3 block variants, and OpenMP 4 task scheduling
variants. The library provides solvers for (discrete-time)
Sylvester and Lyapunov equations in both their standard and
generalized forms. In addition, the library provides a proper C
interface and wrappers for GNU Octave and MATLAB.

Besides a number of bug fixes, the current release adds support
for Hessenberg matrices and Hessenberg-triangular matrix pairs
as inputs, thus reducing the overhead of the (generalized) Schur
decomposition.

The software can be obtained from
- https://www.mpi-magdeburg.mpg.de/projects/mepack
- https://github.com/mpimd-csc/mepack/releases/tag/v1.1.0
- https://doi.org/10.5281/zenodo.10016456


From: Jerome Droniou jerome.droniou@monash.edu
Date: October 19, 2023
Subject: Postdoc Position, Numerical Analysis, Univ of Montpellier, France


The Institut Montpellierain Alexander Grothendieck of the
University of Montpellier will open a postdoc position in
numerical analysis, starting early 2024 for an initial period of
1 year, with possible renewal for another year. The recruited
postdoc will work on various aspects of polytopal methods (design,
analysis and implementation) for complex problems such as MHD or
flows in porous media.

The applicants are expected to have completed a Ph.D. in
numerical analysis or related field, and have a strong
background on the design, analysis and implementation of
numerical methods (e.g., finite elements or finite volumes).

Expressions of interest should be sent to
jerome.droniou@gmail.com (I am still in the process of moving
universities and my professional email at Univ. Montpellier
hasn't been set up yet...).


From: Yuji Nakatsukasa nakatsukasa@maths.ox.ac.uk
Date: October 19, 2023
Subject: Postdoc Position, Randomized Numerical Linear Algebra, Oxford, UK


We are inviting applications for a Postdoctoral Research
Associate to work with Yuji Nakatsukasa at the Mathematical
Institute, University of Oxford. This is a two-year, fixed-term
position, funded by a research grant from the Engineering and
Physical Sciences Research Council (EPSRC). The starting date of
this position is flexible with an earliest start date of 01
March 2024. We particularly welcome applications from
individuals who are able to start between 01 March and 01
October 2024.

The successful candidate will be part of a research group funded
by a joint NSF and EPSRC grant to the University of Oxford and
the University of Texas at Austin: "DMS-EPSRC: Certifying
Accuracy of Randomized Algorithms in Numerical Linear
Algebra". The postdoctoral position at the University of
Oxford is funded by EPSRC. The research will involve
collaboration between the postdoctoral research associate,
Professor Yuji Nakatsukasa (University of Oxford), and Professor
Gunnar Martinsson (University of Texas).

The central goal of the research is to develop efficient and
accurate techniques for assessing the errors incurred in any
specific instantiation of a randomized algorithm. Such
techniques will provide a user with a guarantee that even though
the algorithm used is randomized, the output produced is certain
to satisfy whatever level of computational precision was
requested. There is significant flexibility in the exact
research to be conducted, depending on the Research
Associate's strengths and preferences.

To apply or for more information, please see
https://my.corehr.com/pls/uoxrecruit/erq_jobspec_details_form.jobsp
ec?p_id=168612


From: Eike Mueller e.mueller@bath.ac.uk
Date: October 18, 2023
Subject: PhD Position, Scientific Computing, Univ of Bath


We are looking for an enthusiastic student who would like to work at
the interface between applied mathematics, scientific computing and
meteorology. The goal of this NERC funded PhD project is to develop
new algorithms for numerical climate and weather forecasting. More
specifically, we aim to design novel multigrid solvers for advanced
high-order finite element discretisations in atmospheric fluid
dynamics. The project is co-supervised by Dr Jemma Shipton (Exeter)
and Dr Thomas Melvin (UK Met Office). While most prototyping will
be done in the Firedrake framework, an important aspect of the
project is the implementation in the Met Office next generation
model code, with the aim of studying the performance of new
algorithms for real-life setups.

The ideal candidate should have a strong background in numerical
mathematics (such as iterative solvers and preconditioners, finite
element methods, discontinuous Galerkin discretisations) and be
enthusiastic about writing high-quality computer code in an
interdisciplinary context.

For further information see the advert at
https://www.findaphd.com/phds/project/nerc-gw4-dtp-project-
accelerating-climate-and-weather-forecast-models-with-higher-order-
hybridised-multigrid-solvers/?p162533.

The application deadline is 9 January 2024 for a start in the
autumn of 2024; the position is funded for 3.5 years.


From: Constructive Approximation constructive.approximation@vanderbilt.edu
Date: October 18, 2023
Subject: Contents, Constructive Approximation, 58 (2)


Constructive Approximation, Vol 58, issue 2, October 2023
https://link.springer.com/journal/365/volumes-and-issues/58-2

The Complete Asymptotic Evaluation for Mellin Convolution
Operators, Dumitru Popa

Electrostatic Partners and Zeros of Orthogonal and Multiple
Orthogonal Polynomials, Andrei Martinez-Finkelshtein, Ramon
Orive, Joaquin Sanchez-Lara

Cyclic Polynomials in Dirichlet-Type Spaces in the Unit Ball of
C2, Lukasz Kosinski, Dimitrios Vavitsas

Variable Anisotropic Singular Integral Operators, Marcin Bownik,
Baode Li, Jinxia Li

Multivariate Generalized Hermite Subdivision Schemes, Bin Han

Approximation Theory of Tree Tensor Networks: Tensorized
Univariate Functions, Mazen Ali, Anthony Nouy

Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials
on the Real Line, Rostyslav Kozhan



From: Raimondas Ciegis rc@vgtu.lt
Date: October 20, 2023
Subject: Contents, MMA Journal, 28 (4)


The Baltic Journal on Mathematical Applications, Numerical
Analysis and Differential Equations ISSN 1392-6292, ISSN
1648-3510 online, Electronical edition: http://mma.vgtu.lt

Raimondas {\v{C}}iegis (Editor) Volume 28, Issue 4, 2023

CONTENTS

Chuan Wang, Tianjun Wang and Youlin Shang, Composite Laguerre,
Pseudospectral Method for Fokker-Planck Equations

Jos\'{e} Carmona, Antonio J. Mart\'{i}nez Aparicio, Pedro J.,
Mart\'{i}nez-Aparicio and Miguel Mart\'{i}nez-Teruel, Regularizing
Effect in Singular Semilinear Problems

Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas and
Vytenis {\v{S}}umskas, Numerical Study of the Equation on the Graph
for the Steady State non-Newtonian Flow in Thin Tube Structure

Kalyan Chakraborty, Shigeru Kanemitsu and Antanas Laurin{\vc}ikas,
On Joint Discrete Universality of the Riemann Zeta-Function in
Short Intervals

Erick Delgado Moya, Alain Pietrus and S\'{e}verine Bernard,
Mathematical Model for the Study of Obesity in a Population and its
Impact on the Growth of Diabetes

Zhanar Imanova, Alexander Prokopenya and Mukhtar Minglibayev,
Modelling the Evolution of the Two-Planetary Three-Body System of
Variable Masses

Hammed A. Abass, Godwin C. Ugwunnadi, Lateef O. Jolaoso and Ojen
K. Narain, On Split Generalized Equilibrium and Fixed Point
Problems of Bregman W-Mappings with

Zohre Aminifard and Saman Babaie-Kafaki, A Nonmonotone
ADMM-Based Diagonal Quasi-Newton Update with Application to the
Compressive Sensing Problem

Oleksii V. Kostenko, A Numerical Method for Solving a Complete
Hypersingular Integral Equation of the Second Kind and Its
Justification

Olga \v{S}tikonien\.{e} and Mifodijus Sapagovas, Alternating
Direction Implicit Method for Poisson Equation with Integral
Conditions


End of Digest
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