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A common strategy in the numerical solution of partial differential equations is to define a uniform discretization of a tensor-product multi-dimensional logical domain, which is mapped to a physical domain through a given coordinate…

计算物理 · 物理学 2019-09-13 Edoardo Zoni , Yaman Güçlü

Multicomponent methods are a conceptually simple way to include nuclear quantum effects into quantum chemistry calculations. In multicomponent methods, the electronic molecular orbitals are described using the linear combination of atomic…

化学物理 · 物理学 2022-12-02 Irina Samsonova , Gabrielle B. Tucker , Naresh Alaal , Kurt R. Brorsen

In order to characterize and benchmark computational hardware, software, and algorithms, it is essential to have many problem instances on-hand. This is no less true for quantum computation, where a large collection of real-world problem…

We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a Matlab library for the discretization of partial differential equations based on high-order discontinuous Galerkin…

Every year the PHENIX collaboration deals with increasing volume of data (now about 1/4 PB/year). Apparently the more data the more questions how to process all the data in most efficient way. In recent past many developments in HEP…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Barbara Jacak , Roy Lacey , Dave Morrison , Irina Sourikova , Andrey Shevel , Qiu Zhiping

Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, solving high-fidelity PDEs remains…

机器学习 · 计算机科学 2026-02-03 Olaf Yunus Laitinen Imanov

We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice-Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the…

计算物理 · 物理学 2016-07-26 A. Gupta , M. Sbragaglia , A. Scagliarini

We present further development and the first public release of our multimodal nested sampling algorithm, called MultiNest. This Bayesian inference tool calculates the evidence, with an associated error estimate, and produces posterior…

天体物理学 · 物理学 2011-09-28 F. Feroz , M. P. Hobson , M. Bridges

Interacting spin-boson models encompass a large class of physical systems, spanning models with a single spin interacting with a bosonic bath -- a paradigm of quantum impurity problems -- to models with many spins interacting with a cavity…

量子物理 · 物理学 2023-09-22 Naushad A. Kamar , Mohammad Maghrebi

In this paper, we consider a class of systems of nonlinear equations, which arise in discretized mixed formulations of problems in solid mechanics by $hp$-finite elements. We introduce a semismooth Newton solver for this specific class and…

数值分析 · 数学 2025-11-24 Patrick Bammer , Lothar Banz , Miriam Schönauer , Andreas Schröder

This new approach allows the user to experiment with model choices easily and quickly without requiring in-depth expertise, as constitutive models can be modified by one line of code only. This ease in building new models makes SOniCS ideal…

We present a mixed finite element solver for the linearized R13 equations of non-equilibrium gas dynamics. The Python implementation builds upon the software tools provided by the FEniCS computing platform. We describe a new tensorial…

计算工程、金融与科学 · 计算机科学 2021-04-27 Lambert Theisen , Manuel Torrilhon

We present a derivation that maps the original problem of a many body open quantum system (OQS) coupled to a harmonic oscillator reservoir into that of a many body OQS coupled to a lattice of harmonic oscillators. The present method is…

量子物理 · 物理学 2014-10-20 Ines de Vega

Running scientific workflows on a supercomputer can be a daunting task for a scientific domain specialist. Workflow management solutions (WMS) are a standard method for reducing the complexity of application deployment on high performance…

分布式、并行与集群计算 · 计算机科学 2019-07-30 Wouter Klijn , Sandra Diaz-Pier , Abigail Morrison , Alexander Peyser

With the recent developments in neuroscience and engineering, it is now possible to record brain signals and decode them. Also, a growing number of stimulation methods have emerged to modulate and influence brain activity. Current…

系统与控制 · 电气工程与系统科学 2024-01-18 Hoda Fares , Margherita Ronchini , Milad Zamani , Hooman Farkhani , Farshad Moradi

The large-scale computer simulation of a system of physical fields governed by partial differential equations requires some means of approximating the mathematical limit of continuity. For example, conservation laws are often treated with a…

计算物理 · 物理学 2017-12-27 Christian Y. Cardall , Reuben D. Budiardja

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

数据结构与算法 · 计算机科学 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

Human brain anatomy and function display a combination of modular and hierarchical organization, suggesting the importance of both cohesive structures and variable resolutions in the facilitation of healthy cognitive processes. However,…

神经元与认知 · 定量生物学 2015-06-18 Christian Lohse , Danielle S. Bassett , Kelvin O. Lim , Jean M. Carlson

Recent experimental advances in neuroscience have opened new vistas into the immense complexity of neuronal networks. This proliferation of data challenges us on two parallel fronts. First, how can we form adequate theoretical frameworks…

神经元与认知 · 定量生物学 2015-06-12 Madhu Advani , Subhaneil Lahiri , Surya Ganguli

Large linear systems of saddle-point type have arisen in a wide variety of applications throughout computational science and engineering. The discretizations of distributed control problems have a saddle-point structure. The numerical…

数值分析 · 数学 2021-12-01 Yunhui He
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