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We present SaddleScape V1.0, a Python software package designed for the exploration and construction of solution landscapes in complex systems. The package implements the High-index Saddle Dynamics (HiSD) framework and its variants,…

Numerical Analysis · Mathematics 2026-01-06 Yuyang Liu , Hua Su , Zixiang Xiao , Lei Zhang , Jin Zhao

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

Current research efforts in aeroelasticity aim at including higher fidelity aerodynamic results into the simulation frameworks. In the present effort, the Python--based Fluid--Structure Interaction framework of the well known SU2 code has…

Computational Engineering, Finance, and Science · Computer Science 2021-09-28 Nicola Fonzi , Vittorio Cavalieri , Alessandro De Gaspari , Sergio Ricci

PyMembrane is a software package for simulating liquid and elastic membranes using a discretisation of the continuum description based on unstructured triangulated two-dimensional meshes embedded in three-dimensional space. The package is…

Soft Condensed Matter · Physics 2023-08-25 D. A. Matoz-Fernandez , Siyu Li , Monica Olvera de la Cruz , Rastko Sknepnek

PyFR is an open-source high-order accurate computational fluid dynamics solver for mixed unstructured grids that can target a range of hardware platforms from a single codebase. In this paper we demonstrate the ability of PyFR to perform…

Fluid Dynamics · Physics 2014-09-02 F. D. Witherden , B. C. Vermeire , P. E. Vincent

Effective hydrodynamic modeling is crucial for accurately predicting fluid-particle interactions in diverse fields such as biophysics and materials science. Developing and implementing hydrodynamic algorithms is challenging due to the…

We introduce Geomstats, an open-source Python toolbox for computations and statistics on nonlinear manifolds, such as hyperbolic spaces, spaces of symmetric positive definite matrices, Lie groups of transformations, and many more. We…

The Stokes system with constant viscosity can be cast into different formulations by exploiting the incompressibility constraint. For instance the strain in the weak formulation can be replaced by the gradient to decouple the velocity…

Numerical Analysis · Mathematics 2016-04-28 Markus Huber , Ulrich Rüde , Christian Waluga , Barbara Wohlmuth

We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based…

Computational Engineering, Finance, and Science · Computer Science 2024-05-15 Clément Vella , Pierre Gosselet , Serge Prudhomme

Convex clustering is a popular clustering model without requiring the number of clusters as prior knowledge. It can generate a clustering path by continuously solving the model with a sequence of regularization parameter values. This paper…

Optimization and Control · Mathematics 2025-01-28 Hongfei Wu , Yancheng Yuan

Electron ptychography has recently achieved unprecedented resolution, offering valuable insights across diverse material systems, including in three dimensions. However, high-quality ptychographic reconstruction is computationally expensive…

Materials Science · Physics 2025-08-07 Chia-Hao Lee , Steven E. Zeltmann , Dasol Yoon , Desheng Ma , David A. Muller

In this paper we propose a new class of preconditioners for the isogeometric discretization of the Stokes system. Their application involves the solution of a Sylvester-like equation, which can be done efficiently thanks to the Fast…

Numerical Analysis · Mathematics 2018-05-23 Monica Montardini , Giancarlo Sangalli , Mattia Tani

PyFR is an open-source high-order accurate computational fluid dynamics solver for unstructured grids. It is designed to efficiently solve the compressible Navier-Stokes equations on a range of hardware platforms, including GPUs and CPUs.…

Mathematical Software · Computer Science 2016-07-05 Michael Klemm , Freddie Witherden , Peter Vincent

The continuum theory applied to bimolecular electrostatics leads to an implicit-solvent model governed by the Poisson-Boltzmann equation. Solvers relying on a boundary integral representation typically do not consider features like…

Computational Physics · Physics 2013-11-08 Christopher D. Cooper , Jaydeep P. Bardhan , L. A. Barba

With recent advancements in machine learning for interatomic potentials, Python has become the go-to programming language for exploring new ideas. While machine-learning potentials are often developed in Python-based frameworks, existing…

We present the AGATE simulation code, a Python-based framework developed primarily for solving the magnetohydrodynamics (MHD) equations while maintaining adaptability to other equation sets. The code employs a modular, object-oriented…

Plasma Physics · Physics 2025-05-15 Chris Bard , John Dorelli

Deep learning has had remarkable success in robotic perception, but its data-centric nature suffers when it comes to generalizing to ever-changing environments. By contrast, physics-based optimization generalizes better, but it does not…

We present the development and benchmarking of Poisson solvers for graphics processing units (GPUs). Implemented in the Astaroth platform, the solvers feature high computational efficiency. We present novel combinations of discretizations…

Instrumentation and Methods for Astrophysics · Physics 2026-05-06 Ruben Krasnopolsky , Touko Puro , Wei-Wen Li , Hsien Shang , Miikka S. Väisälä , Mordecai-Mark Mac Low , Matthias Rheinhardt , Maarit Korpi-Lagg

As wide-field surveys yield ever more precise measurements, cosmology has entered a phase of high precision requiring highly accurate and fast theoretical predictions. At the heart of most cosmological model predictions is a numerical…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-18 Alexandre Refregier , Lukas Gamper , Adam Amara , Lavinia Heisenberg

PySCF is a general-purpose electronic structure platform designed from the ground up to emphasize code simplicity, both to aid new method development, as well as for flexibility in computational workflow. The package provides a wide range…