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Development of scientific software involves tradeoffs between ease of use, generality, and performance. We describe the design of a general hyperbolic PDE solver that can be operated with the convenience of MATLAB yet achieves efficiency…

Numerical tools for constraints solving are a cornerstone to control verification problems. This is evident by the plethora of research that uses tools like linear and convex programming for the design of control systems. Nevertheless, the…

Optimization and Control · Mathematics 2021-01-13 Wael Fatnassi , Yasser Shoukry

We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an…

High Energy Physics - Theory · Physics 2019-10-02 Claude Duhr , Falko Dulat

SOSOPT is a Matlab toolbox for formulating and solving Sum-of-Squares (SOS) polynomial optimizations. This document briefly describes the use and functionality of this toolbox. Section 1 introduces the problem formulations for SOS tests,…

Optimization and Control · Mathematics 2016-11-26 Peter Seiler

A method for evaluating matrix polynomials have recently been developed that require one fewer matrix product ($1M$) than the Paterson--Stockmeyer (PS) method. Since the computational cost for large-scale matrices is asymptotically…

Numerical Analysis · Mathematics 2026-03-25 J. M. Alonso , J. Sastre , J. Ibáñez , E. Defez

In many classification problems it is desirable to output well-calibrated probabilities on the different classes. We propose a robust, non-parametric method of calibrating probabilities called SplineCalib that utilizes smoothing splines to…

Machine Learning · Statistics 2018-09-21 Brian Lucena

Kolmogorov-Arnold Networks (KANs) promise higher expressive capability and stronger interpretability than Multi-Layer Perceptron, particularly in the domain of AI for Science. However, practical adoption has been hindered by low GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Mingkun Yu , Heming Zhong , Dan Huang , Yutong Lu , Jiazhi Jiang

In software and hardware development MATLAB and Simulink are used to model cyber physical systems for many years, , especially in automation technology and the automotive industry. Compliance with the required product quality and project…

Software Engineering · Computer Science 2014-08-22 Carsten Kolassa , David Dieckow , Michael Hirsch , Uwe Creutzburg , Christian Siemers , Bernhard Rumpe

\textbf{FlexBox} is a flexible MATLAB toolbox for finite dimensional convex variational problems in image processing and beyond. Such problems often consist of non-differentiable parts and involve linear operators. The toolbox uses a…

Optimization and Control · Mathematics 2016-07-21 Hendrik Dirks

Recent advances in distance-based protein folding have led to a paradigm shift in protein structure prediction. Through sufficiently precise estimation of the inter-residue distance matrix for a protein sequence, it is now feasible to…

Biomolecules · Quantitative Biology 2021-01-27 Andrew McGehee , Sutanu Bhattacharya , Rahmatullah Roche , Debswapna Bhattacharya

Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near ab initio accuracy at significantly reduced computational cost, but their broader adoption is often limited by fragmented tooling, limited scalability,…

In this article we test the accuracy of three platforms used in computational modelling: MatLab, Octave and Scilab, running on i386 architecture and three operating systems (Windows, Ubuntu and Mac OS). We submitted them to numerical tests…

Mathematical Software · Computer Science 2012-07-10 Eliana S. de Almeida , Antonio C. Medeiros , Alejandro C. Frery

This paper proposes a set of techniques to develop correctly rounded math libraries for 32-bit float and posit types. It enhances our RLibm approach that frames the problem of generating correctly rounded libraries as a linear programming…

Mathematical Software · Computer Science 2021-04-12 Jay P. Lim , Santosh Nagarakatte

This paper reports on Matlab Channel Access (MCA) Toolbox Matlab [1] interface to Epics Channel Access (CA) client library. We are developing the toolbox for SPEAR3 accelerator controls but it is of general use for accelerator and…

Accelerator Physics · Physics 2007-05-23 Andrei Terebilo

Models on logarithmic lattices have recently been proposed as an alternative approach to the study of multi-scale nonlinear physics. Here, we introduce LogLatt, an efficient MATLAB library for the calculus between functions on…

Computational Physics · Physics 2022-05-18 Ciro S. Campolina

Matlab is one of the most widely used mathematical computing environments in technical computing. It has an interactive environment which provides high performance computing (HPC) procedures and easy to use. Parallel computing with Matlab…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-28 Zaid Abdi Alkareem Alyasseri

This chapter presents the Bilevel Optimization LIBrary of the test problems (BOLIB for short), which contains a collection of test problems, with continuous variables, to help support the development of numerical solvers for bilevel…

Optimization and Control · Mathematics 2020-12-01 Shenglong Zhou , Alain B. Zemkoho , Andrey Tin

PolyMAPS is an open-source library that helps researchers to initialize LAMMPS molecular dynamics simulations. It introduces an integrated workflow by combining preparation, launching, visualization, and analysis into a single Jupyter…

Chemical Physics · Physics 2023-11-14 Xiaoli Yan , Santanu Chaudhuri

This paper presents a MATLAB toolbox for computing the conformal mapping from a given polygonal multiply connected domain onto a circular multiply connected domain and its inverse. The toolbox can be used for multiply connected domains with…

Complex Variables · Mathematics 2020-02-19 Mohamed M. S. Nasser

The MPLAPACK (formerly MPACK) is a multiple-precision version of LAPACK (https://www.netlib.org/lapack/). MPLAPACK version 2.0.1 is based on LAPACK version 3.9.1 and translated from Fortran 90 to C++ using FABLE, a Fortran to C++…

Mathematical Software · Computer Science 2022-09-13 Maho Nakata