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The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers scalable solvers for nonlinear time-dependent differential and algebraic equations and for numerical optimization.The PETSc design for performance…

We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial differential equation (PDE) constrained optimization. This…

Optimization and Control · Mathematics 2020-05-28 Oana Marin , Emil Constantinescu , Barry Smith

High-quality ordinary differential equation (ODE) solver libraries have a long history, going back to the 1970s. Over the past several years we have implemented, on top of the PETSc linear and nonlinear solver package, a new…

Numerical Analysis · Mathematics 2018-06-06 Shrirang Abhyankar , Jed Brown , Emil M. Constantinescu , Debojyoti Ghosh , Barry F. Smith , Hong Zhang

Leveraging Graphics Processing Units (GPUs) to accelerate scientific software has proven to be highly successful, but in order to extract more performance, GPU programmers must overcome the high latency costs associated with their use. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Jacob Faibussowitsch , Mark F. Adams , Richard Tran Mills , Stefano Zampini , Junchao Zhang

PetscSF, the communication component of the Portable, Extensible Toolkit for Scientific Computation (PETSc), is designed to provide PETSc's communication infrastructure suitable for exascale computers that utilize GPUs and other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-25 Junchao Zhang , Jed Brown , Satish Balay , Jacob Faibussowitsch , Matthew Knepley , Oana Marin , Richard Tran Mills , Todd Munson , Barry F. Smith , Stefano Zampini

This paper introduces the Exascale Grid Optimization (ExaGO) toolkit, a library for solving large-scale alternating current optimal power flow (ACOPF) problems including stochastic effects, security constraints and multi-period constraints.…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Shrirang Abhyankar , Slaven Peles , Tamara Becejac , Jesse Holzer , Asher Mancinelli , Cameron Rutherford

We present the design and scalable implementation of an exascale climate emulator for addressing the escalating computational and storage requirements of high-resolution Earth System Model simulations. We utilize the spherical harmonic…

As part of the Exascale Computing Project (ECP), a recent focus of development efforts for the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been to enable GPU-accelerated time integration in scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-04 Cody J. Balos , David J. Gardner , Carol S. Woodward , Daniel R. Reynolds

To address the challenge of performance analysis on the US DOE's forthcoming exascale supercomputers, Rice University has been extending its HPCToolkit performance tools to support measurement and analysis of GPU-accelerated applications.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-16 Keren Zhou , Laksono Adhianto , Jonathon Anderson , Aaron Cherian , Dejan Grubisic , Mark Krentel , Yumeng Liu , Xiaozhu Meng , John Mellor-Crummey

The communities who develop and support open source scientific software packages are crucial to the utility and success of such packages. Moreover, these communities form an important part of the human infrastructure that enables scientific…

The simulation and parameter optimization of coupled ocean circulation and ecosystem models in three space dimensions is one of the most challenging tasks in numerical climate research. Here we present a scientific toolkit that aims at…

Atmospheric and Oceanic Physics · Physics 2014-10-02 Jaroslaw Piwonski , Thomas Slawig

While Model Predictive Control (MPC) delivers strong performance across robotics applications, solving the underlying (batches of) nonlinear trajectory optimization (TO) problems online remains computationally demanding. Existing…

Robotics · Computer Science 2026-05-11 Alexander Du , Emre Adabag , Gabriel Bravo-Palacios , Brian Plancher

In this chapter, we describe the Parallel Sparse Computation Toolkit (PSCToolkit), a suite of libraries for solving large-scale linear algebra problems in an HPC environment. In particular, we focus on the tools provided for the solution of…

Numerical Analysis · Mathematics 2025-01-09 Pasqua D'Ambra , Fabio Durastante , Salvatore Filippone

Particle accelerators are among the largest, most complex devices. To meet the challenges of increasing energy, intensity, accuracy, compactness, complexity and efficiency, increasingly sophisticated computational tools are required for…

Accelerator Physics · Physics 2023-01-13 Axel Huebl , Remi Lehe , Chad E. Mitchell , Ji Qiang , Robert D. Ryne , Ryan T. Sandberg , Jean-Luc Vay

New challenges in Astronomy and Astrophysics (AA) are urging the need for a large number of exceptionally computationally intensive simulations. "Exascale" (and beyond) computational facilities are mandatory to address the size of…

The applications being developed within the U.S. Exascale Computing Project (ECP) to run on imminent Exascale computers will generate scientific results with unprecedented fidelity and record turn-around time. Many of these codes are based…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-04 Lipeng Wan , Axel Huebl , Junmin Gu , Franz Poeschel , Ana Gainaru , Ruonan Wang , Jieyang Chen , Xin Liang , Dmitry Ganyushin , Todd Munson , Ian Foster , Jean-Luc Vay , Norbert Podhorszki , Kesheng Wu , Scott Klasky

Elliptic partial differential equations (PDEs) frequently arise in continuum descriptions of physical processes relevant to science and engineering. Multilevel preconditioners represent a family of scalable techniques for solving discrete…

Mathematical Software · Computer Science 2016-04-26 Dave A. May , Patrick Sanan , Karl Rupp , Matthew G. Knepley , Barry F. Smith

Scientific computing is an essential tool for scientific discovery and engineering design, and its computational cost is always a main concern in practice. To accelerate scientific computing, it is a promising approach to use machine…

Machine Learning · Computer Science 2024-05-07 Sohei Arisaka , Qianxiao Li

The era of exascale computing presents both exciting opportunities and unique challenges for quantum mechanical simulations. Although the transition from petaflops to exascale computing has been marked by a steady increase in computational…

Computational Physics · Physics 2025-09-03 Ravindra Shinde , Claudia Filippi , Anthony Scemama , William Jalby

Scientific computing in the exascale era demands increased computational power to solve complex problems across various domains. With the rise of heterogeneous computing architectures the need for vendor-agnostic, performance portability…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Johansell Villalobos , Josef Ruzicka , Silvio Rizzi
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