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A new simulation package, GSEIM, for solving a set of ordinary differential equations is presented. The organisation of the program is illustrated with the help of a block diagram. Various features of GSEIM are discussed. Two ways of…

Computational Engineering, Finance, and Science · Computer Science 2021-04-15 Mahesh B. Patil , Ruchita D. Korgaonkar , Kumar Appaiah

Numerical investigation of compressible flows faces two main challenges. In order to accurately describe the flow characteristics, high-resolution nonlinear numerical schemes are needed to capture discontinuities and resolve wide…

Computational Physics · Physics 2020-12-09 Nils Hoppe , Stefan Adami , Nikolaus A. Adams

Many scientific-software projects test their codes inadequately, or not at all. Despite its well-known benefits, adopting routine testing is often not easy. Development teams may have doubts about establishing effective test procedures,…

Software Engineering · Computer Science 2014-11-11 Paul Madden , Eduardo G. Valente

In this work, we present MOLPIPx, a versatile library designed to seamlessly integrate Permutationally Invariant Polynomials (PIPs) with modern machine learning frameworks, enabling the efficient development of linear models, neural…

Chemical Physics · Physics 2025-03-07 Manuel S. Drehwald , Asma Jamali , Rodrigo A. Vargas-Hernández

Numerical simulations are ubiquitous in mathematics and computational science. Several industrial and clinical applications entail modeling complex multiphysics systems that evolve over a variety of spatial and temporal scales. This study…

Mathematical Software · Computer Science 2022-11-14 Pasquale Claudio Africa

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes equations describe fluid flows and are representative of nonlinear physical systems with complex spatio-temporal interactions. Fluid flows are…

Fluid Dynamics · Physics 2022-10-05 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

Enhancing sampling and analyzing simulations are central issues in molecular simulation. Recently, we introduced PLUMED, an open-source plug-in that provides some of the most popular molecular dynamics (MD) codes with implementations of a…

Computational Physics · Physics 2014-10-07 Gareth A. Tribello , Massimiliano Bonomi , Davide Branduardi , Carlo Camilloni , Giovanni Bussi

We present msmJAX, a Python package implementing the multilevel summation method with B-spline interpolation, a linear-scaling algorithm for efficiently evaluating electrostatic and other long-range interactions in particle-based…

Computational Physics · Physics 2025-10-08 Florian Buchner , Johannes Schörghuber , Nico Unglert , Jesús Carrete , Georg K. H. Madsen

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

Machine Learning · Statistics 2017-09-20 Ruohui Wang , Dahua Lin

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,…

This paper presents a system for solving binary-valued linear equations using quantum computers. The system is called Mod2VQLS, which stands for Modulo2 Variational Quantum Linear Solver. As far as we know, this is the first such proposal.…

Quantum Physics · Physics 2023-11-22 Willie Aboumrad , Dominic Widdows

Algorithmic formulations of GPU programs provide a high-level alternative to device-specific code by expressing computations as compositions of well-defined parallel primitives (e.g., map, sort, reduce), rather than through handcrafted GPU…

Computational Physics · Physics 2026-04-21 Raphael Maggio-Aprile , Maxime Rambosson , Christophe Coreixas , Jonas Latt

We present DiffXPBD, a novel and efficient analytical formulation for the differentiable position-based simulation of compliant constrained dynamics (XPBD). Our proposed method allows computation of gradients of numerous parameters with…

Graphics · Computer Science 2023-06-30 Tuur Stuyck , Hsiao-yu Chen

We present a cross-architecture high-order heterogeneous Navier-Stokes simulation solver, XFluids, for compressible reacting multicomponent flows on different platforms. The multi-component reacting flows are ubiquitous in many scientific…

Computational Physics · Physics 2024-07-11 Jinlong Li , Shucheng Pan

Recent advances in test-time scaling have shown promising results in improving Large Language Model (LLM) performance through strategic computation allocation during inference. While this approach has demonstrated strong improvements in…

Computation and Language · Computer Science 2025-05-21 Juntai Cao , Xiang Zhang , Raymond Li , Chuyuan Li , Chenyu You , Shafiq Joty , Giuseppe Carenini

Exa-scale simulations are on the horizon but almost no new design for the output has been proposed in recent years. In simulations using individual time steps, the traditional snapshots are over resolving particles/cells with large time…

Instrumentation and Methods for Astrophysics · Physics 2022-10-25 Loic Hausammann , Pedro Gonnet , Matthieu Schaller

We developed a portable code for dissipative particle dynamics (DPD) simulations. This Fortran program named CAMUS has a couple of notable features. One is the omission of constructing the so-called neighboring particles list, providing a…

Chemical Physics · Physics 2018-07-03 Hideo Doi , Koji Okuwaki , Takamitsu Naito , Sona Saitou , Yuji Mochizuki

Despite the numerous uses of semidefinite programming (SDP) and its universal solvability via interior point methods (IPMs), it is rarely applied to practical large-scale problems. This mainly owes to the computational cost of IPMs that…

Optimization and Control · Mathematics 2024-03-19 Yifan Ran , Stefan Vlaski , Wei Dai

Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we…

Physics Education · Physics 2023-10-18 Benjamin J. Walker , Adam K. Townsend , Alexander K. Chudasama , Andrew L. Krause

We present a GPU implementation of LAMMPS, a widely-used parallel molecular dynamics (MD) software package, and show 5x to 13x single node speedups versus the CPU-only version of LAMMPS. This new CUDA package for LAMMPS also enables…

Materials Science · Physics 2011-03-08 Christian R. Trott , Lars Winterfeld , Paul S. Crozier