Resolvent4py: A parallel Python package for analysis, model reduction and control of large-scale linear systems

Alberto Padovan; Vishal Anantharaman; Clarence W. Rowley; Blaine Vollmer; Tim Colonius; Daniel J. Bodony

doi:10.1016/j.softx.2025.102286

Resolvent4py: A parallel Python package for analysis, model reduction and control of large-scale linear systems

Alberto Padovan
, Vishal Anantharaman
, Clarence W. Rowley
, Blaine Vollmer
, Tim Colonius
, Daniel J. Bodony

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees of freedom. This package provides the user with a friendly Python-like experience (akin to that of well-established libraries such as numpy and scipy), while enabling MPI-based parallelism through mpi4py, petsc4py and slepc4py. In turn, this allows for the development of streamlined and efficient Python code that can be used to solve several problems in fluid mechanics, solid mechanics, graph theory, molecular dynamics and several other fields.

Original language	English (US)
Article number	102286
Journal	SoftwareX
Volume	31
DOIs	https://doi.org/10.1016/j.softx.2025.102286
State	Published - Sep 2025
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Computer Science Applications

Keywords

Harmonic resolvent analysis
Model reduction
Parallel computing
Python
Resolvent analysis
Stability analysis

Access to Document

10.1016/j.softx.2025.102286

Cite this

@article{c94d1778b17042b7b2096f635ba6be86,

title = "Resolvent4py: A parallel Python package for analysis, model reduction and control of large-scale linear systems",

abstract = "In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees of freedom. This package provides the user with a friendly Python-like experience (akin to that of well-established libraries such as numpy and scipy), while enabling MPI-based parallelism through mpi4py, petsc4py and slepc4py. In turn, this allows for the development of streamlined and efficient Python code that can be used to solve several problems in fluid mechanics, solid mechanics, graph theory, molecular dynamics and several other fields.",

keywords = "Harmonic resolvent analysis, Model reduction, Parallel computing, Python, Resolvent analysis, Stability analysis",

author = "Alberto Padovan and Vishal Anantharaman and Rowley, \{Clarence W.\} and Blaine Vollmer and Tim Colonius and Bodony, \{Daniel J.\}",

note = "Publisher Copyright: {\textcopyright} 2025 The Authors",

year = "2025",

month = sep,

doi = "10.1016/j.softx.2025.102286",

language = "English (US)",

volume = "31",

journal = "SoftwareX",

issn = "2352-7110",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Resolvent4py

T2 - A parallel Python package for analysis, model reduction and control of large-scale linear systems

AU - Padovan, Alberto

AU - Anantharaman, Vishal

AU - Rowley, Clarence W.

AU - Vollmer, Blaine

AU - Colonius, Tim

AU - Bodony, Daniel J.

PY - 2025/9

Y1 - 2025/9

N2 - In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees of freedom. This package provides the user with a friendly Python-like experience (akin to that of well-established libraries such as numpy and scipy), while enabling MPI-based parallelism through mpi4py, petsc4py and slepc4py. In turn, this allows for the development of streamlined and efficient Python code that can be used to solve several problems in fluid mechanics, solid mechanics, graph theory, molecular dynamics and several other fields.

AB - In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees of freedom. This package provides the user with a friendly Python-like experience (akin to that of well-established libraries such as numpy and scipy), while enabling MPI-based parallelism through mpi4py, petsc4py and slepc4py. In turn, this allows for the development of streamlined and efficient Python code that can be used to solve several problems in fluid mechanics, solid mechanics, graph theory, molecular dynamics and several other fields.

KW - Harmonic resolvent analysis

KW - Model reduction

KW - Parallel computing

KW - Python

KW - Resolvent analysis

KW - Stability analysis

UR - https://www.scopus.com/pages/publications/105012617272

UR - https://www.scopus.com/pages/publications/105012617272#tab=citedBy

U2 - 10.1016/j.softx.2025.102286

DO - 10.1016/j.softx.2025.102286

M3 - Article

AN - SCOPUS:105012617272

SN - 2352-7110

VL - 31

JO - SoftwareX

JF - SoftwareX

M1 - 102286

ER -

Resolvent4py: A parallel Python package for analysis, model reduction and control of large-scale linear systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this