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Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic…

Quantum Physics · Physics 2022-08-17 Abhishek Rajput , Alessandro Roggero , Nathan Wiebe

Traditional dynamic security assessment faces challenges as power systems are experiencing a transformation to inverter-based-resource (IBR) dominated systems, for which electromagnetic transient (EMT) dynamics have to be considered.…

Dynamical Systems · Mathematics 2023-02-21 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun , Feng Qiu

The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

Mathematical Software · Computer Science 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

Scaling up hardware systems has become an important tactic for improving performance as Moore's law fades. Unfortunately, simulations of large hardware systems are often a design bottleneck due to slow throughput and long build times. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-31 Steven Herbst , Noah Moroze , Edgar Iglesias , Andreas Olofsson

Similar to other programming models, compilers for SYCL, the open programming model for heterogeneous computing based on C++, would benefit from access to higher-level intermediate representations. The loss of high-level structure and…

Programming Languages · Computer Science 2023-12-21 Ettore Tiotto , Víctor Pérez , Whitney Tsang , Lukas Sommer , Julian Oppermann , Victor Lomüller , Mehdi Goli , James Brodman

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

Optimization and Control · Mathematics 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

Multiple Constant Multiplication (MCM) over integers is a frequent operation arising in embedded systems that require highly optimized hardware. An efficient way is to replace costly generic multiplication by bit-shifts and additions, i.e.…

Hardware Architecture · Computer Science 2022-10-11 Rémi Garcia , Anastasia Volkova

Exascale systems, expected to emerge by the end of the next decade, will require the exploitation of billion-way parallelism at multiple hierarchical levels in order to achieve the desired sustained performance. The task of assessing future…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-27 Matthew Anderson , Maciej Brodowicz , Hartmut Kaiser , Thomas Sterling

Writing efficient hybrid parallel code is tedious, error-prone, and requires good knowledge of both parallel programming and multithreading such as MPI and OpenMP, resp. Therefore, we present a framework which is based on a job model that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Ralf-Peter Mundani , Marko Ljucović , Ernst Rank

We propose a fast integrator to a class of dynamical systems with several temporal scales. The proposed method is developed as an extension of the variable step size Heterogeneous Multiscale Method (VSHMM), which is a two-scale integrator…

Numerical Analysis · Mathematics 2015-10-21 Yoonsang Lee , Bjorn Engquist

Parallel programming remains a daunting challenge, from the struggle to express a parallel algorithm without cluttering the underlying synchronous logic, to describing which devices to employ in a calculation, to correctness. Over the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Patrick Diehl , Steven R. Brandt , Hartmut Kaiser

High-level synthesis (HLS) has been widely adopted as it significantly improves the hardware design productivity and enables efficient design space exploration (DSE). Existing HLS tools are built using compiler infrastructures largely based…

Programming Languages · Computer Science 2021-12-23 Hanchen Ye , Cong Hao , Jianyi Cheng , Hyunmin Jeong , Jack Huang , Stephen Neuendorffer , Deming Chen

In recent years, the embedding approach for solving switched optimal control problems has been developed in a series of papers. However, the embedding approach, which advantageously converts the hybrid optimal control problem to a classical…

Optimization and Control · Mathematics 2018-04-04 Richard Meyer , Miloš Žefran , Raymond A. DeCarlo

The advent of quantum algorithms has initiated a discourse on the potential for quantum speedups for optimization problems. However, several factors still hinder a practical realization of the potential benefits. These include the lack of…

In this paper, a comprehensive performance review of a MPI-based high-order spectral and mortar element method C++ toolbox is presented. The focus is put on the performance evaluation of several aspects with a particular emphasis on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-09-10 Roland Bouffanais , Vincent Keller , Ralf Gruber , Michel O. Deville

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

We explore the idea of integrating machine learning (ML) with high performance computing (HPC)-driven simulations to address challenges in using simulations to teach computational science and engineering courses. We demonstrate that a ML…

Physics Education · Physics 2020-09-01 Vikram Jadhao , JCS Kadupitiya

Molecular simulation is a scientific tool dealing with challenges in material science and biology. This is reflected in a permanent development and enhancement of algorithms within scientific simulation packages. Here, we present…

Construct, Merge, Solve and Adapt (CMSA) is a general hybrid metaheuristic for solving combinatorial optimization problems. At each iteration, CMSA (1) constructs feasible solutions to the tackled problem instance in a probabilistic way and…

Artificial Intelligence · Computer Science 2018-05-31 Christian Blum , Haroldo Gambini Santos