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For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian…

Numerical Analysis · Mathematics 2016-04-20 Guillaume Dechristé , Luc Mieussens

Due to the real-time rendering performance, 3D Gaussian Splatting (3DGS) has emerged as the leading method for radiance field reconstruction. However, its reliance on spherical harmonics for color encoding inherently limits its ability to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Yixin Yang , Bojian Wu , Yang Zhou , Hui Huang

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

Robotics · Computer Science 2025-09-09 Md Rafid Islam

Tremendous advances in parallel computing and graphics hardware opened up several novel real-time GPU applications in the fields of computer vision, computer graphics as well as augmented reality (AR) and virtual reality (VR). Although…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-19 Patrick Stotko

Iterative memory-bound solvers commonly occur in HPC codes. Typical GPU implementations have a loop on the host side that invokes the GPU kernel as much as time/algorithm steps there are. The termination of each kernel implicitly acts the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Lingqi Zhang , Mohamed Wahib , Peng Chen , Jintao Meng , Xiao Wang , Toshio Endo , Satoshi Matsuoka

Context. Magnetic fields are important to the dynamics of many astrophysical processes and can typically be studied through polarization observations. Polarimetric interferometry capabilities of modern (sub)millimeter telescope facilities…

Instrumentation and Methods for Astrophysics · Physics 2020-04-08 Boy Lankhaar , Wouter Vlemmings

We present new methods for radiative transfer on hierarchial grids. We develop a new method for calculating the scattered flux that employs the grid structure to speed up the computation. We describe a novel subiteration algorithm that can…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 T. Lunttila , M. Juvela

There is a stage in the GPU computing pipeline where a grid of thread-blocks, in \textit{parallel space}, is mapped onto the problem domain, in \textit{data space}. Since the parallel space is restricted to a box type geometry, the mapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-07 Cristóbal A. Navarro , Benjamín Bustos , Nancy Hitschfeld

Three-dimensional neutron transport calculations using the Method of Characteristics (MOC) are highly regarded for their exceptional computational efficiency, precision, and stability. Nevertheless, when dealing with extensive-scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Faguo Zhou , Shunde Li , Rong Xue , Lingkun Bu , Ningming Nie , Peng Shi , Jue Wang , Yun Hu , Zongguo Wang , Yangang Wang , Qinmeng Yang , Miao Yu

When considering different hardware platforms, not just the time-to-solution can be of importance but also the energy necessary to reach it. This is not only the case with battery powered and mobile devices but also with high-performance…

Performance · Computer Science 2020-06-30 Philip Heinisch , Katharina Ostaszewski , Hendrik Ranocha

This note proposes rapidly convergent computational formulae for evaluating scattering kernels from radiative transfer theory. The approach used here does not rely on Legendre expansions, but rather uses exponentially convergent numerical…

Numerical Analysis · Mathematics 2015-12-09 Hans Engler

A novel and scalable geometric multi-level algorithm is presented for the numerical solution of elliptic partial differential equations, specially designed to run with high occupancy of streaming processors inside Graphics Processing…

Mathematical Software · Computer Science 2017-03-22 J. T. Becerra-Sagredo , F. Mandujano , C. Malaga

3-D astrophysical atmospheres will have random velocity fields. We seek to combine the methods we have developed for solving the 1-D problem with arbitrary flows to those that we have developed for solving the fully 3-D relativistic…

Solar and Stellar Astrophysics · Physics 2015-06-11 E. Baron , Peter H. Hauschildt , Bin Chen , Sebastian Knop

Dense 3D representations of the environment have been a long-term goal in the robotics field. While previous Neural Radiance Fields (NeRF) representation have been prevalent for its implicit, coordinate-based model, the recent emergence of…

Robotics · Computer Science 2024-12-20 Siting Zhu , Guangming Wang , Xin Kong , Dezhi Kong , Hesheng Wang

Radiative transfer (RT) is a crucial ingredient for self-consistent modelling of numerous astrophysical phenomena across cosmic history. However, on-the-fly integration into radiation-hydrodynamics (RHD) simulations is computationally…

Instrumentation and Methods for Astrophysics · Physics 2024-04-30 Oliver Zier , Rahul Kannan , Aaron Smith , Mark Vogelsberger , Erkin Verbeek

Forward wavefield simulation is an important step in Full Waveform Inversion systems. Fast simulations are instrumental to get inversion result in reasonable time frames. Most of research and software aims towards utilizing costly computer…

Signal Processing · Electrical Eng. & Systems 2022-01-03 Emanuel Trabes , Silvana Spagnotto , Orlando Alvarez Pontoriero , Julio Daniel Dondo Gazzano , Carlos Federico Sosa Paez

In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i.e. graphics processing units (GPUs). To this end, we extend our…

Mathematical Software · Computer Science 2018-07-02 Helmut Harbrecht , Peter Zaspel

This work presents a highly optimized computational framework for the Discrete Dipole Approximation, a numerical method for calculating the optical properties associated with a target of arbitrary geometry that is widely used in…

Instrumentation and Methods for Astrophysics · Physics 2009-08-07 James Mc Donald , Aaron Golden , S. Gerard Jennings

Evaluating high-dimensional integrals via deep hierarchical recurrences is a dominant cost in quantum chemistry. While CPUs manage these efficiently, GPUs suffer a critical mismatch: limited per-thread memory is quickly overwhelmed by an…

Computational Physics · Physics 2026-05-14 Yihong Zhang , Xinran Wei , Junshi Chen , Fusong Ju , Wei Hu , Jinlong Yang , Huanhuan Xia

CUDA and OpenCL are two different frameworks for GPU programming. OpenCL is an open standard that can be used to program CPUs, GPUs, and other devices from different vendors, while CUDA is specific to NVIDIA GPUs. Although OpenCL promises a…

Performance · Computer Science 2011-05-17 Kamran Karimi , Neil G. Dickson , Firas Hamze