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We develop the third-order adaptive Adams-Bashforth time stepping and the second-order finite difference equation for variable time steps. We incorporate these schemes in the Celeris Advent software to discretize and solve the 2D extended…

Numerical Analysis · Mathematics 2020-11-12 Sasan Tavakkol , Sangyoung Son , Patrick Lynett

Adaptive meshing includes local refinement as well as coarsening of meshes. Typically, coarsening algorithms are based on an explicit refinement history. In this work, we deal with local coarsening algorithms that build on the refinement…

Numerical Analysis · Mathematics 2020-11-06 Stefan A. Funken , Anja Schmidt

Dedicated hardware accelerators are suitable for parallel computational tasks. Moreover, they have the tendency to accept inexact results. These hardware accelerators are extensively used in image processing and computer vision…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

Modern deep learning applications urge to push the model inference taking place at the edge devices for multiple reasons such as achieving shorter latency, relieving the burden of the network connecting to the cloud, and protecting user…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-05 Leyuan Wang , Zhi Chen , Yizhi Liu , Yao Wang , Lianmin Zheng , Mu Li , Yida Wang

This paper presents the design and evaluation of a GPU-accelerated inference pipeline for transformer models using NVIDIA TensorRT with mixed-precision optimization. We evaluate BERT-base (110M parameters) and GPT-2 (124M parameters) across…

Machine Learning · Computer Science 2026-03-31 Soutrik Mukherjee , Sangwhan Cha

Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-17 Alexandros Nikolaos Ziogas , Grzegorz Kwasniewski , Tal Ben-Nun , Timo Schneider , Torsten Hoefler

We present Graphite, a GPU-accelerated nonlinear least squares graph optimization framework. It provides a CUDA C++ interface to enable the sharing of code between a real-time application, such as a SLAM system, and its optimization tasks.…

Robotics · Computer Science 2026-03-17 Shishir Gopinath , Karthik Dantu , Steven Y. Ko

Graph neural networks (GNNs) are powerful tools for exploring and learning from graph structures and features. As such, achieving high-performance execution for GNNs becomes crucially important. Prior works have proposed to explore the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-30 Yangjie Zhou , Yaoxu Song , Jingwen Leng , Zihan Liu , Weihao Cui , Zhendong Zhang , Cong Guo , Quan Chen , Li Li , Minyi Guo

Wave equation techniques have been an integral part of geophysical imaging workflows to investigate the Earth's subsurface. Least-squares reverse time migration (LSRTM) is a linearized inversion problem that iteratively minimizes a misfit…

Computational Physics · Physics 2019-12-11 Janaki Vamaraju , Jeremy Vila , Mauricio Araya-Polo , Debanjan Datta , Mohamed Sidahmed , Mrinal Sen

Cloud and precipitation microphysics packages in atmospheric general circulation models typically use first-order time integration methods with a large time step, requiring ad hoc limiters and substepping of the sedimentation scheme to…

Atmospheric and Oceanic Physics · Physics 2026-03-13 Justin Dong , Sean P. Santos , Steven B. Roberts , Christopher J. Vogl , Carol S. Woodward

The lattice Boltzmann method exhibits excellent scalability on current supercomputing systems and has thus increasingly become an alternative method for large-scale non-stationary flow simulations, reaching up to a trillion grid nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-11 Florian Schornbaum , Ulrich Rüde

Large language models (LLMs) have recently shown strong progress on scientific reasoning, yet two major bottlenecks remain. First, explicit retrieval fragments reasoning, imposing a hidden "tool tax" of extra tokens and steps. Second,…

This work is related to PHG (Parallel Hierarchical Grid). PHG is a toolbox for developing parallel adaptive finite element programs, which is under active development at the State Key Laboratory of Scientific and Engineering Computing. The…

Computational Engineering, Finance, and Science · Computer Science 2016-11-28 Hui Liu

Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still linger when using strictly small time steps and…

Numerical Analysis · Mathematics 2019-12-05 Hanyu Li , Wing Tat Leung , Mary F. Wheeler

This work investigates the impact of time rescaling on the performance of Feedback Quantum Algorithms (FQA) and their variant for optimization tasks, FALQON. We introduce TR-FQA and TR-FALQON, time-rescaled versions of FQA and FALQON,…

Quantum Physics · Physics 2025-11-11 L. A. M. Rattighieri , G. E. L. Pexe , B. L. Bernado , F. F. Fanchini

Despite decades of research, creating accurate, robust, and efficient lattice Boltzmann methods (LBM) on non-uniform grids with seamless GPU acceleration remains challenging. This work introduces a novel strategy to address this challenge…

Computational Physics · Physics 2026-01-06 Christophe Coreixas , Jonas Latt

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

Numerical Analysis · Mathematics 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

As deep learning models nowadays are widely adopted by both cloud services and edge devices, reducing the latency of deep learning model inferences becomes crucial to provide efficient model serving. However, it is challenging to develop…

Machine Learning · Computer Science 2023-02-16 Yaoyao Ding , Cody Hao Yu , Bojian Zheng , Yizhi Liu , Yida Wang , Gennady Pekhimenko

A novel energy-efficient edge computing paradigm is proposed for real-time deep learning-based image upsampling applications. State-of-the-art deep learning solutions for image upsampling are currently trained using either resize or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

Quantization techniques have been applied in many challenging finance applications, including pricing claims with path dependence and early exercise features, stochastic optimal control, filtering problems and efficient calibration of large…

Computational Finance · Quantitative Finance 2017-01-11 T. A. McWalter , R. Rudd , J. Kienitz , E. Platen
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