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Coarse-grained (CG) molecular dynamics (MD) simulations can simulate large molecular complexes over extended timescales by reducing degrees of freedom. A critical step in CG modeling is the selection of the CG mapping algorithm, which…

Soft Condensed Matter · Physics 2025-07-23 Soumya Mondal , Subhanu Halder , Debarchan Basu , Sandeep Kumar , Tarak Karmakar

We develop an adaptive method of time layers with a linearly implicit Rosenbrock method as time integrator and symmetric interior penalty Galerkin method for space discretization for the advective Allen-Cahn equation with…

Numerical Analysis · Mathematics 2017-02-08 Murat Uzunca , Bülent Karasözen , Ayşe Sarıaydın Filibelioğlu

Presented are two techniques that are designed to help streamline the discretization of complex vascular geometries within the numerical modeling process. The first method integrates multiple software tools into a single pipeline which can…

Fluid Dynamics · Physics 2025-12-05 Kevin Garner , Fotis Drakopoulos , Chander Sadasivan , Nikos Chrisochoides

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

Anisotropic mesh adaptation is a powerful way to directly minimise the computational cost of mesh based simulation. It is particularly important for multi-scale problems where the required number of floating-point operations can be reduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-13 Georgios Rokos , Gerard J. Gorman , James Southern , Paul H. J. Kelly

This chapter provides an overview of state-of-the-art adaptive finite element methods (AFEMs) for the numerical solution of second-order elliptic partial differential equations (PDEs), where the primary focus is on the optimal interplay of…

Numerical Analysis · Mathematics 2024-04-11 Philipp Bringmann , Ani Miraçi , Dirk Praetorius

We propose a high-performance GPU solver for inverse homogenization problems to design high-resolution 3D microstructures. Central to our solver is a favorable combination of data structures and algorithms, making full use of the parallel…

Optimization and Control · Mathematics 2023-05-26 Di Zhang , Xiaoya Zhai , Ligang Liu , Xiao-Ming Fu

This paper presents an arbitrary h.o. accurate ADER DG method on space-time adaptive meshes (AMR) for the solution of two important families of non-linear time dependent PDE for compr. dissipative flows: the compr. Navier-Stokes equations…

Numerical Analysis · Mathematics 2021-07-22 Francesco Fambri , Michael Dumbser , Olindo Zanotti

Accurate simulation to dynamics of axial piston pump (APP) is essential for its design, manufacture and maintenance. However, limited by computation capacity of CPU device and traditional solvers, conventional iteration methods are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-11 Xin Yao , Yang Liu , Jin Jiang , Yesen Chen , Zhilong Chen , Hongkang Dong , Xiaofeng Wei , Teng Zhang , Dongyun Wang

Neural representations have emerged as a new paradigm for applications in rendering, imaging, geometric modeling, and simulation. Compared to traditional representations such as meshes, point clouds, or volumes they can be flexibly…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Julien N. P. Martel , David B. Lindell , Connor Z. Lin , Eric R. Chan , Marco Monteiro , Gordon Wetzstein

Algebraic Multigrid (AMG) methods are state-of-the-art algebraic solvers for partial differential equations. Still, their efficiency depends heavily on the choice of suitable parameters and/or ingredients. Paradigmatic examples include the…

Numerical Analysis · Mathematics 2026-01-01 Paola F. Antonietti , Matteo Caldana , Lorenzo Gentile , Marco Verani

We propose a GPU-based iterative method for accelerated elastodynamic simulation with the log-barrier-based contact model. While Newton's method is a conventional choice for solving the interior-point system, the presence of ill-conditioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Dewen Guo , Minchen Li , Yin Yang , Guoping Wang , Sheng Li

Large language models (LLMs) have been widely applied but face challenges in efficient inference. While quantization methods reduce computational demands, ultra-low bit quantization with arbitrary precision is hindered by limited GPU Tensor…

Machine Learning · Computer Science 2025-03-14 Shaobo Ma , Chao Fang , Haikuo Shao , Zhongfeng Wang

The conversion of traditional film into stereo 3D has become an important problem in the past decade. One of the main bottlenecks is a disocclusion step, which in commercial 3D conversion is usually done by teams of artists armed with a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 L. Robert Hocking , Russell MacKenzie , Carola-Bibiane Schoenlieb

In cloud machine learning (ML) inference systems, providing low latency to end-users is of utmost importance. However, maximizing server utilization and system throughput is also crucial for ML service providers as it helps lower the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Yunseong Kim , Yujeong Choi , Minsoo Rhu

GPUs and other accelerators are increasingly used for scientific computing. In the future, we want to add GPU support to parallel adaptive mesh refinement (AMR) codes written in Fortran. To understand which changes are necessary to obtain…

Convolutional gridding is a processor-intensive step in interferometric imaging. While it is possible to use graphics processing units (GPUs) to accelerate this operation, existing methods use only a fraction of the available flops. We…

Instrumentation and Methods for Astrophysics · Physics 2016-06-29 Bruce Merry

Fine-grained workload and resource balancing is the key to high performance for regular and irregular computations on the GPUs. In this dissertation, we conduct an extensive survey of existing load-balancing techniques to build an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Muhammad Osama

Simulations of many rigid bodies colliding with each other sometimes yield particularly interesting results if the colliding objects differ significantly in size and are non-spherical. The most expensive part within such a simulation code…

Computational Geometry · Computer Science 2022-10-21 Peter J. Noble , Tobias Weinzierl

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Guoping Long , Jun Yang , Wei Lin