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The success of the application of machine-learning techniques to compilation tasks can be largely attributed to the recent development and advancement of program characterization, a process that numerically or structurally quantifies a…

Programming Languages · Computer Science 2016-11-01 Pai-Shun Ting , Chun-Chen Tu , Pin-Yu Chen , Ya-Yun Lo , Shin-Ming Cheng

High-Performance Big Data Analytics (HPDA) applications are characterized by huge volumes of distributed and heterogeneous data that require efficient computation for knowledge extraction and decision making. Designers are moving towards a…

Estimating human pose is an important yet challenging task in multimedia applications. Existing pose estimation libraries target reproducing standard pose estimation algorithms. When it comes to customising these algorithms for real-world…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Yixiao Guo , Jiawei Liu , Guo Li , Luo Mai , Hao Dong

The increasing complexity and diversity of hardware accelerators in modern computing systems demand flexible, low-overhead program analysis tools. We present PASTA, a low-overhead and modular Program AnalysiS Tool Framework for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Mao Lin , Hyeran Jeon , Keren Zhou

We present NEP-PACK a novel open-source library for the solution of nonlinear eigenvalue problems (NEPs). The package provides a framework to represent NEPs, as well as efficient implementations of many state-of-the-art algorithms. The…

Numerical Analysis · Mathematics 2018-11-26 Elias Jarlebring , Max Bennedich , Giampaolo Mele , Emil Ringh , Parikshit Upadhyaya

FreeFem++ is an open source platform to solve partial differential equations numerically, based on finite element methods. It was developed at the Laboratoire Jacques-Louis Lions, Universit\'e Pierre et Marie Curie, Paris by Fr\'ed\'eric…

Numerical Analysis · Mathematics 2012-05-08 Georges Sadaka

We present a framework to solve non-linear eigenvalue problems suitable for a Finite Element discretization. The implementation is based on the open-source finite element software GetDP and the open-source library SLEPc. As template…

Computational Physics · Physics 2020-12-24 Guillaume Demésy , André Nicolet , Boris Gralak , Christophe Geuzaine , Carmen Campos , Jose E. Roman

As supercomputers become larger with powerful Graphics Processing Unit (GPU), traditional direct eigensolvers struggle to keep up with the hardware evolution and scale efficiently due to communication and synchronization demands.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-28 Xinzhe Wu , Edoardo Di Napoli

The aim of this paper is to propose an efficient adaptive finite element method for eigenvalue problems based on the multilevel correction scheme and inverse power method. This method involves solving associated boundary value problems on…

Numerical Analysis · Mathematics 2022-02-25 Qichen Hong , Hehu Xie , Fei Xu

This paper considers computing partial eigenpairs of differential eigenvalue problems (DEPs) such that eigenvalues are in a certain region on the complex plane. Recently, based on a "solve-then-discretize" paradigm, an operator analogue of…

Numerical Analysis · Mathematics 2023-02-21 Akira Imakura , Keiichi Morikuni , Akitoshi Takayasu

Solving non-Hermitian quantum many-body systems on a quantum computer by minimizing the variational energy is challenging as the energy can be complex. Here, based on energy variance, we propose a variational method for solving the…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Zheng-Yuan Xue , Dan-Bo Zhang

Due to its importance and widespread use in industry, automated testing of REST APIs has attracted major interest from the research community in the last few years. However, most of the work in the literature has been focused on black-box…

Software Engineering · Computer Science 2023-09-18 Andrea Arcuri , Man Zhang , Juan Pablo Galeotti

This paper describes a software package called EVSL (for EigenValues Slicing Library) for solving large sparse real symmetric standard and generalized eigenvalue problems. As its name indicates, the package exploits spectrum slicing, a…

Numerical Analysis · Mathematics 2018-02-15 Ruipeng Li , Yuanzhe Xi , Lucas Erlandson , Yousef Saad

We report an efficient program for computing the eigenvalues and symmetry-adapted eigenvectors of very large quaternionic (or Hermitian skew-Hamiltonian) matrices, using which structure-preserving diagonalization of matrices of dimension N…

Chemical Physics · Physics 2017-03-20 Toru Shiozaki

We present a high-performance solver for dense skew-symmetric matrix eigenvalue problems. Our work is motivated by applications in computational quantum physics, where one solution approach to solve the so-called Bethe-Salpeter equation…

Numerical Analysis · Mathematics 2020-06-05 Carolin Penke , Andreas Marek , Christian Vorwerk , Claudia Draxl , Peter Benner

We introduce ASSIST, a software package for ephemeris-quality integrations of test particles. ASSIST is an extension of the REBOUND framework and makes use of its IAS15 integrator to integrate test particle trajectories in the field of the…

Earth and Planetary Astrophysics · Physics 2023-03-30 Matthew J. Holman , Arya Akmal , Davide Farnocchia , Hanno Rein , Matthew J. Payne , Robert Weryk , Daniel Tamayo , David M. Hernandez

Many eigenvalue problems arising in practice are often of the generalized form $A\x=\lambda B\x$. One particularly important case is symmetric, namely $A, B$ are Hermitian and $B$ is positive definite. The standard algorithm for solving…

Quantum Physics · Physics 2021-10-20 Changpeng Shao , Jin-Peng Liu

In this paper, we present a nonnested augmented subspace algorithm and its multilevel correction method for solving eigenvalue problems with curved interfaces. The augmented subspace algorithm and the corresponding multilevel correction…

Numerical Analysis · Mathematics 2020-11-17 Haikun Dang , Hehu Xie , Gang Zhao , Chenguang Zhou

The rising popularity of the microservice architectural style has led to a growing demand for automated testing approaches tailored to these systems. EvoMaster is a state-of-the-art tool that uses Evolutionary Algorithms (EAs) to…

Software Engineering · Computer Science 2025-01-31 Clinton Cao , Annibale Panichella , Sicco Verwer

We introduce an enriched immersed finite element method for addressing interface problems characterized by general non-homogeneous jump conditions. Unlike many existing unfitted mesh methods, our approach incorporates a homogenization…

Numerical Analysis · Mathematics 2025-05-07 Ruchi Guo , Xu Zhang