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Present day computational fluid dynamics simulations generate extremely large amounts of data, sometimes on the order of TB/s. Often, a significant fraction of this data is discarded because current storage systems are unable to keep pace.…

计算工程、金融与科学 · 计算机科学 2021-03-03 Heather Pacella , Alec Dunton , Alireza Doostan , Gianluca Iaccarino

This article proposes a new class of general linear method with $p=q$ and $r=s=p+1$. The construction of the present method is carried out using order conditions and error minimization subject to $A$- stability constraints. The proposed…

数值分析 · 数学 2025-12-15 Sakshi Gautam , Ram K. Pandey

We analyse three time integration schemes for unfitted methods in fluid structure interaction. In Alghorithm 1 we propose a fully discrete monolithic algorithm with P1 P1 stabilized finite elements for the fluid problem; for this alghorithm…

数值分析 · 数学 2021-05-27 Michele Annese

Heterogeneity and irregularity of multi-source data sets present a significant challenge to time-series analysis. In the literature, the fusion of multi-source time-series has been achieved either by using ensemble learning models which…

机器学习 · 计算机科学 2021-10-07 Futoon M. Abushaqra , Hao Xue , Yongli Ren , Flora D. Salim

The applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a test case for integration schemes for numerical weather…

计算工程、金融与科学 · 计算机科学 2015-10-09 Daniel Ruprecht , Rolf Krause

This paper deals with fast simulations of the haemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical…

数值分析 · 数学 2018-01-19 Claudia M. Colciago , Simone Deparis

Least-squares Petrov--Galerkin (LSPG) model-reduction techniques such as the Gauss--Newton with Approximated Tensors (GNAT) method have shown promise, as they have generated stable, accurate solutions for large-scale turbulent, compressible…

数值分析 · 计算机科学 2016-08-18 Kevin Carlberg , Matthew Barone , Harbir Antil

This work proposes a unified heuristic algorithm for a large class of earliness-tardiness (E-T) scheduling problems. We consider single/parallel machine E-T problems that may or may not consider some additional features such as idle time,…

人工智能 · 计算机科学 2017-01-11 Arthur Kramer , Anand Subramanian

A numerical method is proposed for computing time-periodic and relative time-periodic solutions in dissipative wave systems. In such solutions, the temporal period, and possibly other additional internal parameters such as the propagation…

斑图形成与孤子 · 物理学 2014-08-28 Jianke Yang

We present a novel multiscale numerical approach that combines parallel-in-time computation with hybrid domain adaptation for linear collisional kinetic equations in the diffusive regime. The method addresses the computational challenges of…

数值分析 · 数学 2025-11-18 Tino Laidin

By reducing the number of global synchronization bottlenecks per iteration and hiding communication behind useful computational work, pipelined Krylov subspace methods achieve significantly improved parallel scalability on present-day HPC…

数值分析 · 计算机科学 2018-09-07 Siegfried Cools , Wim Vanroose

We show that many classical optimization problems --- such as $(1\pm\epsilon)$-approximate maximum flow, shortest path, and transshipment --- can be computed in $\newcommand{\tmix}{{\tau_{\text{mix}}}}\tmix(G)\cdot n^{o(1)}$ rounds of…

数据结构与算法 · 计算机科学 2018-05-29 Mohsen Ghaffari , Jason Li

This paper considers the problem of real-time mode scheduling in linear time-varying switched systems subject to a quadratic cost functional. The execution time of hybrid control algorithms is often prohibitive for real-time applications…

最优化与控制 · 数学 2017-09-04 Anastasia Mavrommati , Jarvis A. Schultz , Todd D. Murphey

In this paper we show how to combine two algorithmic techniques to obtain linear time algorithms for various optimization problems on graphs, and present a subroutine which will be useful in doing so. The first technique is iterative…

数据结构与算法 · 计算机科学 2015-09-28 Ken-ichi Kawarabayashi , Zhentao Li , Bruce Reed

In this paper we propose a novel arbitrary high order accurate semi-implicit space-time DG method for the solution of the three-dimensional incompressible Navier-Stokes equations on staggered unstructured curved tetrahedral meshes. As…

数值分析 · 数学 2016-06-22 Maurizio Tavelli , Michael Dumbser

In this paper the Micro-Macro Parareal algorithm was adapted to PDEs. The parallel-in-time approach requires two meshes of different spatial resolution in order to compute approximations in an iterative way to a predefined reference…

数值分析 · 数学 2023-09-11 Benedict Philippi , Mahfuz Sarker Miraz , Thomas Slawig

The time domain analysis of eddy current problems often requires the simulation of long time intervals, e.g. until a steady state is reached. Fast-switching excitations e.g. in pulsedwidth modulated signals require in addition very small…

Numerical climate- and weather-prediction requires the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have several advantageous properties. They can be used for arbitrary domains and support a…

计算物理 · 物理学 2020-10-13 Jack D. Betteridge , Thomas H. Gibson , Ivan G. Graham , Eike H. Müller

This paper presents parallel-in-time state estimation methods for systems with Slow-Rate inTegrated Measurements (SRTM). Integrated measurements are common in various applications, and they appear in analysis of data resulting from…

统计计算 · 统计学 2024-10-02 Fatemeh Yaghoobi , Simo Särkkä

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin discretizations of elliptic problems. Fast matrix-free operator evaluation on tensor product elements is used to devise a computationally efficient PDE…

计算物理 · 物理学 2020-06-24 Niklas Fehn , Peter Munch , Wolfgang A. Wall , Martin Kronbichler