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We present a new parallel algorithm for probabilistic graphical model optimization. The algorithm relies on data-parallel primitives (DPPs), which provide portable performance over hardware architecture. We evaluate results on CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-14 Brenton Lessley , Talita Perciano , Colleen Heinemann , David Camp , Hank Childs , E. Wes Bethel

In a previous contribution (Mol. Phys. {\bf 103}, xxxx, 2005), we established the suitability of density functional theory (DFT) for the calculation of molecular anharmonic force fields. In the present work, we have assessed a wide variety…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Wim Klopper , Jan M. L. Martin

We present an efficient, linear-scaling implementation for building the (screened) Hartree-Fock exchange (HFX) matrix for periodic systems within the framework of numerical atomic orbital (NAO) basis functions. Our implementation is based…

Computational Physics · Physics 2020-09-29 Peize Lin , Xinguo Ren , Lixin He

Extensive set of tests on different platforms indicated that there is a performance drop of current standard de facto software library for the Discrete Fourier Transform (DFT) in case of large 2D array sizes (larger than 16384x16384).…

Computational Physics · Physics 2020-08-18 Alexander O. Korotkevich

Hybrid density functional approximations (DFAs) offer compelling accuracy for ab initio electronic-structure simulations of molecules, nanosystems, and bulk materials, addressing some deficiencies of computationally cheaper, frequently used…

Density-functional theory (DFT) has revolutionized computational prediction of atomic-scale properties from first principles in physics, chemistry and materials science. Continuing development of new methods is necessary for accurate…

A novel parallel hybrid quantum-classical algorithm for the solution of the quantum-chemical ground-state energy problem on gate-based quantum computers is presented. This approach is based on the reduced density-matrix functional theory…

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

The future of computation is the Graphical Processing Unit, i.e. the GPU. The promise that the graphics cards have shown in the field of image processing and accelerated rendering of 3D scenes, and the computational capability that these…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Jayshree Ghorpade , Jitendra Parande , Madhura Kulkarni , Amit Bawaskar

Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU…

Computational Physics · Physics 2011-08-17 Ferenc Molnar , Ferenc Izsak , Robert Meszaros , Istvan Lagzi

Modern OpenMP threading techniques are used to convert the MPI-only Hartree-Fock code in the GAMESS program to a hybrid MPI/OpenMP algorithm. Two separate implementations that differ by the sharing or replication of key data structures…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-15 Vladimir Mironov , Yuri Alexeev , Kristopher Keipert , Michael D'mello , Alexander Moskovsky , Mark S. Gordon

Parallel computing can offer an enormous advantage regarding the performance for very large applications in almost any field: scientific computing, computer vision, databases, data mining, and economics. GPUs are high performance many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-24 Bogdan Oancea , Tudorel Andrei , Raluca Mariana Dragoescu

Noncollinear (NC) magnetism and spin-orbit coupling (SOC) are indispensable for predictive ab initio materials simulations with pronounced relativistic effects and magnetic frustration, yet they significantly increase the cost of…

Efficient hybrid DFT simulations of solid state materials would be extremely beneficial for computational chemistry and materials science, but is presently bottlenecked by difficulties in computing Hartree-Fock (HF) exchange with plane wave…

Chemical Physics · Physics 2024-10-30 Yuanheng Wang , Diptarka Hait , Pablo A. Unzueta , Juncheng Harry Zhang , Todd J. Martínez

Current AI code generation systems suffer from significant latency bottlenecks due to CPU-GPU data transfers during compilation, execution, and testing phases. We establish theoretical foundations for three complementary approaches to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Adilet Metinov , Gulida M. Kudakeeva , Gulnara D. Kabaeva

Multicore systems present on-board memory hierarchies and communication networks that influence performance when executing shared memory parallel codes. Characterising this influence is complex, and understanding the effect of particular…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-01 O. G. Lorenzo , M. L. Becoña , T. F. Pena , J. C. Cabaleiro , J. A. Lorenzo , F. F. Rivera

In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two formulations of DFT: one is based on the…

Mathematical Software · Computer Science 2020-12-15 Tianjian Lu , Yi-Fan Chen , Blake Hechtman , Tao Wang , John Anderson

Oscillation probability calculations are becoming increasingly CPU intensive in modern neutrino oscillation analyses. The independency of reweighting individual events in a Monte Carlo sample lends itself to parallel implementation on a…

Data Analysis, Statistics and Probability · Physics 2014-05-12 R. G. Calland , A. C. Kaboth , D. Payne

We present a unified heterogeneous computing framework for real-time time-dependent density functional theory (RT-TDDFT) based on numerical atomic orbitals (NAOs), implemented in the ABACUS package. We introduce three co-designed…

Materials Science · Physics 2026-03-24 Taoni Bao , Yuanbo Li , Zichao Deng , Haotian Zhao , Denghui Lu , Yike Huang , Chao Lian , Lixin He , Mohan Chen

Homomorphic encryption (HE) draws huge attention as it provides a way of privacy-preserving computations on encrypted messages. Number Theoretic Transform (NTT), a specialized form of Discrete Fourier Transform (DFT) in the finite field of…

Cryptography and Security · Computer Science 2020-12-04 Sangpyo Kim , Wonkyung Jung , Jaiyoung Park , Jung Ho Ahn