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Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to…

Mathematical Software · Computer Science 2017-09-18 J. Chang , K. B. Nakshatrala , M. G. Knepley , L. Johnsson

Parallel-in-time algorithms have been successfully employed for reducing time-to-solution of a variety of partial differential equations, especially for diffusive (parabolic-type) equations. A major failing of parallel-in-time approaches to…

Numerical Analysis · Mathematics 2019-08-28 Hans De Sterck , Stephanie Friedhoff , Alexander J. M. Howse , Scott P. MacLachlan

We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial value problems. The scheme is applied to the shallow-water…

Computational Engineering, Finance, and Science · Computer Science 2026-03-04 Philip Freese , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Martin Schreiber

Using large-scale multicore systems to get the maximum performance and energy efficiency with manageable programmability is a major challenge. The partitioned global address space (PGAS) programming model enhances programmability by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-01 Jérémie Lagravière , Johannes Langguth , Mohammed Sourouri , Phuong H. Ha , Xing Cai

Parallel-in-time integration has been the focus of intensive research efforts over the past two decades due to the advent of massively parallel computer architectures and the scaling limits of purely spatial parallelization. Various…

Numerical Analysis · Mathematics 2023-09-22 M. J. Gander , T. Lunet , D. Ruprecht , R. Speck

In real-time systems, in addition to the functional correctness recurrent tasks must fulfill timing constraints to ensure the correct behavior of the system. Partitioned scheduling is widely used in real-time systems, i.e., the tasks are…

Data Structures and Algorithms · Computer Science 2018-09-13 Jian-Jia Chen , Nikhil Bansal , Samarjit Chakraborty , Georg von der Brüggen

In recent decades, there have been many attempts to construct symplectic integrators with variable time steps, with rather disappointing results. In this paper we identify the causes for this lack of performance, and find that they fall…

Computational Physics · Physics 2015-05-30 A S Richardson , J M Finn

Hardware accelerators such as GPUs are required for real-time, low-latency inference with Deep Neural Networks (DNN). However, due to the inherent limits to the parallelism they can exploit, DNNs often under-utilize the capacity of today's…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-27 Aditya Dhakal , Sameer G. Kulkarni , K. K. Ramakrishnan

In this paper we deal with the impact of multi and many-core processor architectures on simulation. Despite the fact that modern CPUs have an increasingly large number of cores, most softwares are still unable to take advantage of them. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-30 Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla

This paper presents a non-intrusive framework for integrating existing unsteady partial differential equation (PDE) solvers into a parallel-in-time simultaneous optimization algorithm. The time-parallelization is provided by the…

Optimization and Control · Mathematics 2018-03-01 Stefanie Günther , Nicolas R. Gauger , Jacob B. Schroder

Genetic Algorithms (GAs) are used to solve search and optimization problems in which an optimal solution can be found using an iterative process with probabilistic and non-deterministic transitions. However, depending on the problem's…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Matheus F. Torquato , Marcelo A. C. Fernandes

This paper addresses the numerical optimization of proportional-integral-derivative (PID) controllers for linear time-invariant systems with delays, where the derivative action is implemented using a low-pass filter. While performance…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Diego Torres-García , Wim Michiels

In this paper, we introduce the Python framework PyMGRIT, which implements the multigrid-reduction-in-time (MGRIT) algorithm for solving the (non-)linear systems arising from the discretization of time-dependent problems. The MGRIT…

Mathematical Software · Computer Science 2020-08-13 Jens Hahne , Stephanie Friedhoff , Matthias Bolten

Getting good speedup -- let alone high parallel efficiency -- for parallel-in-time (PinT) integration examples can be frustratingly difficult. The high complexity and large number of parameters in PinT methods can easily (and…

Numerical Analysis · Mathematics 2021-09-02 Sebastian Goetschel , Michael Minion , Daniel Ruprecht , Robert Speck

Comprehending the performance bottlenecks at the core of the intricate hardware-software interactions exhibited by highly parallel programs on HPC clusters is crucial. This paper sheds light on the issue of automatically asynchronous MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Stefano Markidis , Gerhard Wellein

We introduce a new strategy for coupling the parallel in time (parareal) iterative methodology with multiscale integrators. Following the parareal framework, the algorithm computes a low-cost approximation of all slow variables in the…

Numerical Analysis · Mathematics 2015-11-19 Gil Ariel , Seong Jun Kim , Richard Tsai

In this paper, we investigate the challenges to apply Statistical Static Timing Analysis (SSTA) in hierarchical design flow, where modules supplied by IP vendors are used to hide design details for IP protection and to reduce the complexity…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Yang Xu , Ulf Schlichtmann

We introduce in this paper, HeteroSTA, the first CPU-GPU heterogeneous timing analysis engine that efficiently supports: (1) a set of delay calculation models providing versatile accuracy-speed choices without relying on an external golden…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Zizheng Guo , Haichuan Liu , Xizhe Shi , Shenglu Hua , Zuodong Zhang , Chunyuan Zhao , Runsheng Wang , Yibo Lin

Large-scale HPC simulations of plasma dynamics in fusion devices require efficient parallel I/O to avoid slowing down the simulation and to enable the post-processing of critical information. Such complex simulations lacking parallel I/O…

In recent years, large-scale models have demonstrated state-of-the-art performance across various domains. However, training such models requires various techniques to address the problem of limited computing power and memory on devices…

Machine Learning · Computer Science 2023-02-23 Yuliang Liu , Shenggui Li , Jiarui Fang , Yanjun Shao , Boyuan Yao , Yang You