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Numerical simulations are commonly used to understand the parameter dependence of given spatio-temporal phenomena. Sampling a multi-dimensional parameter space and running the respective simulations leads to an ensemble of a large number of…

Human-Computer Interaction · Computer Science 2022-05-04 Marina Evers , Lars Linsen

Phase-field modeling is an elegant and versatile computation tool to predict microstructure evolution in materials in the mesoscale regime. However, these simulations require rigorous numerical solutions of differential equations, which are…

Materials Science · Physics 2023-08-08 Owais Ahmad , Naveen Kumar , Rajdip Mukherjee , Somnath Bhowmick

Fundamental theories and practical methods for large-scale electronic structure calculations are given, in which the computational cost is proportional to the system size. Accuracy controlling methods for microscopic freedoms are focused on…

Materials Science · Physics 2009-11-11 Takeo Hoshi , Takeo Fujiwara

Numerical simulations are ubiquitous in science and engineering. Machine learning for science investigates how artificial neural architectures can learn from these simulations to speed up scientific discovery and engineering processes. Most…

Artificial Intelligence · Computer Science 2022-12-12 Lucas Meyer , Alejandro Ribés , Bruno Raffin

A computer code or simulator is a mathematical representation of a physical system, for example a set of differential equations. Running the code with given values of the vector of inputs, x, leads to an output y(x) or several such outputs.…

Methodology · Statistics 2016-01-25 Derek Bingham , Pritam Ranjan , William Welch

A promising research direction in enabling LLMs to generate consistently correct code involves addressing their inability to properly estimate program execution, particularly for code they generate. In this work, we demonstrate that Code…

Computation and Language · Computer Science 2026-04-07 Gallil Maimon , Ori Yoran , Felix Kreuk , Michael Hassid , Gal Cohen , Pierre Chambon , Yossi Adi

Machine learning has emerged as a significant approach to efficiently tackle electronic structure problems. Despite its potential, there is less guarantee for the model to generalize to unseen data that hinders its application in real-world…

Machine Learning · Computer Science 2024-02-16 Gengyuan Hu , Gengchen Wei , Zekun Lou , Philip H. S. Torr , Wanli Ouyang , Han-sen Zhong , Chen Lin

Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode…

Computational Physics · Physics 2024-12-03 Nikolay M. Kuzmin , Danila S. Sirotin , Alexander V. Khoperskov

We present a novel algorithm that solves the turbo code LP decoding problem in a fininte number of steps by Euclidean distance minimizations, which in turn rely on repeated shortest path computations in the trellis graph representing the…

Information Theory · Computer Science 2014-03-18 Michael Helmling , Stefan Ruzika

This paper presents a simulation approach to enhance the performance of heuristics for multi-project scheduling. Unlike other heuristics available in the literature that use only one priority criterion for resource allocation, this paper…

Portfolio Management · Quantitative Finance 2024-06-05 Pablo Alvarez-Campana , Felix Villafanez , Fernando Acebes , David Poza

We describe the Stagger Code for simulations of magneto-hydrodynamic (MHD) systems. This is a modular code with a variety of physics modules that will let the user run simulations of deep stellar atmospheres, sunspot formation, stellar…

Instrumentation and Methods for Astrophysics · Physics 2024-05-07 Robert F. Stein , Åke Nordlund , Remo Collet , Regner Trampedach

By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales. In this paper, we further explore the technique to propose…

Numerical Analysis · Mathematics 2025-09-25 Bojin Chen , Zeyu Jin , Ruo Li

Model checking has been proposed as a formal verification approach for analyzing computer-based and cyber-physical systems. The state space explosion problem is the main obstacle for applying this approach for sophisticated systems.…

Performance · Computer Science 2023-07-18 Mohammadsadegh Mohagheghi , Khayyam Salehi

Investigating uncertainties in computer simulations can be prohibitive in terms of computational costs, since the simulator needs to be run over a large number of input values. Building an emulator, i.e. a statistical surrogate model of the…

Methodology · Statistics 2022-10-18 Ayao Ehara , Serge Guillas

This paper proposes a computationally efficient simulation strategy for cold thermal energy storage (TES) systems based on phase change material (PCM). Taking as a starting point the recent design of a TES system based on PCM, designed to…

Systems and Control · Electrical Eng. & Systems 2024-02-07 G. Bejarano , M. Vargas , M. G. Ortega , F. Castaño , J. E. Normey-Rico

We present an efficient algorithm for computing the partial bisimulation preorder and equivalence for labeled transitions systems. The partial bisimulation preorder lies between simulation and bisimulation, as only a part of the set of…

Logic in Computer Science · Computer Science 2012-07-12 J. Markovski

Quantum information processors need to be protected against errors and faults. One of the most widely considered fault-tolerant architecture is based on surface codes. While the general principles of these codes are well understood and…

Quantum Physics · Physics 2016-11-15 Nicolas Delfosse , Pavithran Iyer , David Poulin

Transistor-level simulation plays a vital role in validating the physical correctness of integrated circuits. However, such simulations are computationally expensive. This paper proposes three novel reduction methods specifically tailored…

Hardware Architecture · Computer Science 2025-08-20 Ruibai Tang , Wenlai Zhao

Triple-GEM detectors are a well known technology in high energy physics. In order to have a complete understanding of their behavior, in parallel with on beam testing, a Monte Carlo code has to be developed to simulate their response to the…

Discrete translational symmetry plays a fundamental role in condensed matter physics and lattice gauge theories, enabling the analysis of systems that would otherwise be intractable. Despite this, many open problems remain. Quantum…

Quantum Physics · Physics 2026-01-07 Joris Kattemölle , Guido Burkard
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