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We present a shared memory implementation of a parallel algorithm, called delta-stepping, for solving the single source shortest path problem for directed and undirected graphs. In order to reduce synchronization costs we make some…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-21 M. Kranjčević , D. Palossi , S. Pintarelli

We present an algorithm for the simulation of three-dimensional spin glasses deep in the low-temperature phase: Parallel Tempering enhanced with Houdayer moves and with an entropic reservoir (PTHR). Although differences with the standard…

Disordered Systems and Neural Networks · Physics 2026-05-26 Claudio Chilin , Enzo Marinari , Víctor Martín-Mayor , Giorgio Parisi , Juan J. Ruiz-Lorenzo , David Yllanes

The process of numerical thermalization in particle-in-cell (PIC) simulations has been studied extensively. It is analogous to Coulomb collisions in real plasmas, causing particle velocity distributions (VDFs) to evolve towards a Maxwellian…

We present a temperature extrapolation technique for self-consistent many-body methods, which provides a causal starting point for converging to a solution at a target temperature. The technique employs the Carath\'eodory formalism for…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Sergei Iskakov , Emanuel Gull

We introduce a new family of numerical algorithms for approximating solutions of general high-dimensional semilinear parabolic partial differential equations at single space-time points. The algorithm is obtained through a delicate…

Numerical Analysis · Mathematics 2021-11-09 Weinan E , Martin Hutzenthaler , Arnulf Jentzen , Thomas Kruse

An efficient computational scheme devised for investigations of ground state properties of the electronically correlated systems is presented. As an example, $(H_{2})_{n}$ chain is considered with the long-range electron-electron…

Strongly Correlated Electrons · Physics 2015-12-24 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

Probabilistic numerical solvers for ordinary differential equations (ODEs) treat the numerical simulation of dynamical systems as problems of Bayesian state estimation. Aside from producing posterior distributions over ODE solutions and…

Numerical Analysis · Mathematics 2024-09-12 Nathanael Bosch , Adrien Corenflos , Fatemeh Yaghoobi , Filip Tronarp , Philipp Hennig , Simo Särkkä

This paper presents implementation details and empirical results for a hybrid message passing and shared memory paralleliziation of the adaptive integral method (AIM). AIM is implemented on a (near) petaflop supercomputing cluster of…

Computational Engineering, Finance, and Science · Computer Science 2010-10-08 Fangzhou Wei , Ali E. Yılmaz

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

The paper presents a combination of the time-parallel "parallel full approximation scheme in space and time" (PFASST) with a parallel multigrid method (PMG) in space, resulting in a mesh-based solver for the three-dimensional heat equation…

Numerical Analysis · Computer Science 2015-07-28 Robert Speck , Daniel Ruprecht , Matthew Emmett , Matthias Bolten , Rolf Krause

Thermal simulation plays a fundamental role in the thermal design of integrated circuits, especially 3D ICs. Current simulators require significant runtime for high-resolution simulation, and dismiss the complex nonlinear thermal effects,…

Applied Physics · Physics 2026-01-19 Qipan Wang , Tianxiang Zhu , Yibo Lin , Runsheng Wang , Ru Huang

Three-dimensional numerical model is developed and applied for studies of physical processes in Electron Cyclotron Resonance Ion Source. The model includes separate modules that simulate the electron and ion dynamics in the source plasma in…

Accelerator Physics · Physics 2020-12-30 V. Mironov , S. Bogomolov , A. Bondarchenko , A. Efremov , V. Loginov , D. Pugachev

The auto differentiable simulation is a type of simulation that outputs of the simulation include not only the simulation result itself, but also their derivatives with respect to various input parameters. It provides an efficient method to…

Computational Physics · Physics 2025-12-01 Ji Qianga , Yue Hao , Allen Qiang , Jinyu Wan

The efficiency of path sampling simulations can be improved considerably using the approach of path swapping. For this purpose, we have devised a new algorithmic procedure based on the transition interface sampling technique. In the same…

Statistical Mechanics · Physics 2009-11-13 Titus S. van Erp

In this paper, a phase-change model based on a geometric Volume-of-Fluid (VOF) framework is extended to simulate nucleate boiling with a resolved microlayer and conjugate heat transfer. Heat conduction in both the fluid and solid domains is…

Fluid Dynamics · Physics 2025-10-08 Tian Long , Jieyun Pan , Edoardo Cipriano , Matteo Bucci , Stéphane Zaleski

Global optimization heuristics are popular to optimize hard non-convex problems. Despite their irrefutably large cost-to-solution, in the lack of other working greedy or convex approaches, global optimization algorithms remain the…

Optimization and Control · Mathematics 2025-02-24 Kayo Gonçalves-e-Silva , Samuel Xavier-de-Souza

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

This work builds on the previous introduction [1] of a coupled experimental-computational system devised to fully characterize the thermal behavior of complex 3D submicron electronic devices. The new system replaces the laser-based surface…

Materials Science · Physics 2007-09-13 Peter E. Raad , Pavel L. Komarov , M. Burzo

A parallel 2D+1 split-step Fourier method with Crank-Nicholson scheme running on multi-core shared memory architectures is developed to study the propagation of ultra-short high-intensity laser pulses in air. The parallel method achieves a…

Optics · Physics 2015-07-23 Cunliang Ma , Wenbin Lin

We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower dimensional interface. We want to allow for the reuse of existing codes for the subproblems, called a partitioned…

Numerical Analysis · Mathematics 2025-02-06 Niklas Kotarsky , Philipp Birken
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