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We describe recent nonlinear analytic approximation tools in the classical setting of Hardy spaces in the upper half plane and show how to transfer them to the higher dimensional real setting of harmonic functions in upper half spaces. It…

Classical Analysis and ODEs · Mathematics 2022-10-06 Ronald R. Coifman , Jacques Peyrière , Guido Weiss

T-IFISS is a finite element software package for studying finite element solution algorithms for deterministic and parametric elliptic partial differential equations. The emphasis is on self-adaptive algorithms with rigorous error control…

Numerical Analysis · Mathematics 2020-03-11 Alex Bespalov , Leonardo Rocchi , David Silvester

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

Optimization and Control · Mathematics 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

Real world combinatorial optimization problems such as scheduling are typically too complex to solve with exact methods. Additionally, the problems often have to observe vaguely specified constraints of different importance, the available…

Artificial Intelligence · Computer Science 2007-05-23 Andreas Raggl , Wolfgang Slany

Pulgon-tools is an open-source software package providing building blocks for the analysis and modeling of quasi-one-dimensional (quasi-1D) periodic systems based on line-group theory. While mature libraries exist for space-group detection…

Computational Physics · Physics 2026-03-31 Yu-Jie Cen , Sandro Wieser , Georg K. H. Madsen , Jesús Carrete

The eXtended CASA Line Analysis Software Suite (XCLASS) is a toolbox for the Common Astronomy Software Applications package (CASA) containing new functions for modeling interferometric and single dish data. Among the tools is the myXCLASS…

Instrumentation and Methods for Astrophysics · Physics 2017-01-25 T. Möller , C. Endres , P. Schilke

Dedicated treatment of symmetries in satisfiability problems (SAT) is indispensable for solving various classes of instances arising in practice. However, the exploitation of symmetries usually takes a black box approach. Typically,…

Data Structures and Algorithms · Computer Science 2024-01-02 Markus Anders , Pascal Schweitzer , Mate Soos

In many scientific fields like e.g. neuroscience, climatology or physics, complex relationships can be described most parsimoniously by nonlinear mechanics. Despite their relevance, many scientists still apply linear estimates in order to…

Data Analysis, Statistics and Probability · Physics 2021-10-08 Immo Weber , Carina Renate Oehrn

We present a modular user-oriented simulation toolbox for studying highharmonic generation in gases. The first release consists of the computational pipeline to 1) compute the unidirectional IR-pulse propagation incylindrical symmetry, 2)…

Optics · Physics 2026-02-06 Jan Vábek , Tadeáš Němec , Stefan Skupin , Fabrice Catoire

The seriation problem is an important ordering issue which consists of finding the best ordering of a set of units whose interrelationship is defined by a bipartite graph. It has important applications in, e.g., archaeology, anthropology,…

Mathematical Software · Computer Science 2017-11-27 Anna Concas , Caterina Fenu , Giuseppe Rodriguez

We present an iterative root finding method for harmonic mappings in the complex plane, which is a generalization of Newton's method for analytic functions. The complex formulation of the method allows an analysis in a complex variables…

Complex Variables · Mathematics 2020-10-26 Olivier Sète , Jan Zur

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

This article describes three Mathematica packages for the automatic calculation of one-loop Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hahn

The aim of this paper is to give a presentation of the Python toolbox YALTAPy dedicated to the stability study of standard and fractional delay systems as well as its online version YALTAPy_Online. Both toolboxes are derived from YALTA…

Optimization and Control · Mathematics 2022-12-13 Hugo Cavalera , Jayvir Raj , Guilherme Mazanti , Catherine Bonnet

pyspeckit is a toolkit and library for spectroscopic analysis in Python. We describe the pyspeckit package and highlight some of its capabilities, such as interactively fitting a model to data, akin to the historically widely-used splot…

Instrumentation and Methods for Astrophysics · Physics 2022-06-01 Adam Ginsburg , Vlas Sokolov , Miguel de Val-Borro , Erik Rosolowsky , Jaime E. Pineda , Brigitta M. Sipőcz , Jonathan D. Henshaw

An open-source, Python-based Temporal Analysis of Products (TAP) reactor simulation and processing program is introduced. TAPsolver utilizes algorithmic differentiation for the calculation of highly accurate derivatives, which are used to…

Computational Engineering, Finance, and Science · Computer Science 2020-09-01 Adam Yonge , M. Ross Kunz , Rakesh Batchu , Zongtang Fang , Tobin Issac , Rebecca Fushimi , Andrew J. Medford

In order to achieve state-of-the-art performance, modern machine learning techniques require careful data pre-processing and hyperparameter tuning. Moreover, given the ever increasing number of machine learning models being developed, model…

Machine Learning · Statistics 2018-05-03 Nicolo Fusi , Rishit Sheth , Huseyn Melih Elibol

We describe our package PALP of C programs for calculations with lattice polytopes and applications to toric geometry, which is freely available on the internet. It contains routines for vertex and facet enumeration, computation of…

Numerical Analysis · Mathematics 2025-10-20 Maximilian Kreuzer , Harald Skarke

The simulation of turbulence in the boundary region of a tokamak is crucial for understanding and optimizing the performance of fusion reactors. In this work, the use of low-rank linear algebra techniques is shown to enhance the efficiency…

Plasma Physics · Physics 2025-08-18 Margherita Guido , Daniel Kressner , Davide Mancini , Paolo Ricci

At the CHEP03 conference we launched the Physics Analysis eXpert (PAX), a C++ toolkit released for the use in advanced high energy physics (HEP) analyses. This toolkit allows to define a level of abstraction beyond detector reconstruction…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Steffen Kappler , Martin Erdmann , Ulrich Felzmann , Dominic Hirschbuehl , Matthias Kirsch , Guenter Quast , Alexander Schmidt , Joanna Weng