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Stochastic, spatial reaction-diffusion simulations have been widely used in systems biology and computational neuroscience. However, the increasing scale and complexity of simulated models and morphologies have exceeded the capacity of any…

Quantitative Methods · Quantitative Biology 2016-10-10 Weiliang Chen , Erik De Schutter

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

The high cost of sequential time integration is one major constraint that limits the speedup of a time-parallel algorithm like the Parareal algorithm due to the difficulty of coarsening time steps in a stiff numerical problem. To address…

Computational Physics · Physics 2025-03-06 Weifan Liu

A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle…

Mathematical Software · Computer Science 2007-05-23 Thomas Lippert , Nikolay Petkov , Paolo Palazzari , Klaus Schilling

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

We present a solver for the 2D high-frequency Helmholtz equation in heterogeneous acoustic media, with online parallel complexity that scales optimally as $\mathcal{O}(\frac{N}{L})$, where $N$ is the number of volume unknowns, and $L$ is…

Numerical Analysis · Mathematics 2015-08-20 Leonardo Zepeda-Núñez , Laurent Demanet

Recently, a novel coded compressed sensing (CCS) approach was proposed in [1] for dealing with the scalability problem for large sensing matrices in massive machine-type communications. The approach is to divide the compressed sensing (CS)…

Networking and Internet Architecture · Computer Science 2021-09-01 Yi-Jheng Lin , Chia-Ming Chang , Cheng-Shang Chang

This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hygro-thermo-mechanical (H-T-M) coupling problems in…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yifei Ding , Jiale Linghu , Yufeng Nie , Yaochuang Han

Smoothing filter is the method of choice for image preprocessing and pattern recognition. We present a new concurrent method for smoothing 2D object in binary case. Proposed method provides a parallel computation while preserving the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-01 Ramzi Mahmoudi , Mohamed Akil

We introduce an algorithm that is simultaneously memory-efficient and low-scaling for applying ab initio molecular Hamiltonians to matrix-product states (MPS) via the tensor-hypercontraction (THC) format. These gains carry over to Krylov…

Strongly Correlated Electrons · Physics 2025-11-19 Yu Wang , Maxine Luo , Matthias Reumann , Christian B. Mendl

A parallelization of a sweeping preconditioner for 3D Helmholtz equations without large cavities is introduced and benchmarked for several challenging velocity models. The setup and application costs of the sequential preconditioner are…

Numerical Analysis · Computer Science 2013-11-26 Jack Poulson , Björn Engquist , Siwei Li , Lexing Ying

In practice, non-specialized interior point algorithms often cannot utilize the massively parallel compute resources offered by modern many- and multi-core compute platforms. However, efficient distributed solution techniques are required,…

Optimization and Control · Mathematics 2026-04-10 Nils-Christian Kempke , Daniel Rehfeldt , Thorsten Koch

We propose a high order numerical homogenization method for dissipative ordinary differential equations (ODEs) containing two time scales. Essentially, only first order homogenized model globally in time can be derived. To achieve a high…

Numerical Analysis · Mathematics 2023-11-21 Zeyu Jin , Ruo Li

High-energy physics (HEP) experiments have developed millions of lines of code over decades that are optimized to run on traditional x86 CPU systems. However, we are seeing a rapidly increasing fraction of floating point computing power in…

Hierarchical Temporal Memory (HTM) is a computational theory of machine intelligence based on a detailed study of the neocortex. The Heidelberg Neuromorphic Computing Platform, developed as part of the Human Brain Project (HBP), is a…

Neurons and Cognition · Quantitative Biology 2016-02-10 Sebastian Billaudelle , Subutai Ahmad

The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

We propose an exact slice sampler for Hierarchical Dirichlet process (HDP) and its associated mixture models (Teh et al., 2006). Although there are existing MCMC algorithms for sampling from the HDP, a slice sampler has been missing from…

Machine Learning · Statistics 2019-03-22 Arash A. Amini , Marina Paez , Lizhen Lin , Zahra S. Razaee

In this paper, an efficient divide-and-conquer (DC) algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable (HSS) matrices. HSS is an important type of rank-structured…

Mathematical Software · Computer Science 2016-12-27 Shengguo Li , Francois-Henry Rouet , Jie Liu , Chun Huang , Xingyu Gao , Xuebin Chi

When simulating multiscale stochastic differential equations (SDEs) in high-dimensions, separation of timescales, stochastic noise and high-dimensionality can make simulations prohibitively expensive. The computational cost is dictated by…

Dynamical Systems · Mathematics 2015-10-13 Miles Crosskey , Mauro Maggioni

In prior works, stochastic dual coordinate ascent (SDCA) has been parallelized in a multi-core environment where the cores communicate through shared memory, or in a multi-processor distributed memory environment where the processors…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-03 Soumitra Pal , Tingyang Xu , Tianbao Yang , Sanguthevar Rajasekaran , Jinbo Bi