Suchergebnisse - "Parallel numerical computation"

PARALLEL NUMERICAL COMPUTATION: A COMPARATIVE STUDY ON CPU-GPU PERFORMANCE IN PI DIGITS COMPUTATION

Autoren: Yozef Tjandra Sanga Lawalat

Quelle: Pilar Nusa Mandiri, Vol 18, Iss 2, Pp 93-100 (2022)

Schlagwörter: parallel numerical method, parallel computing, Electronic computers. Computer science, gpu, bbp formula, cpu-gpu comparison, QA75.5-76.95

Zugangs-URL: https://doaj.org/article/95c7a0aeb5624294872397c1a40c978e

Efficient Partition-of-Unity Radial-Basis-Function Interpolation for Coupled Problems: Efficient partition-of-unity radial-basis-function interpolation for coupled problems

Autoren: David Schneider Benjamin Uekermann

Quelle: SIAM Journal on Scientific Computing. 47:B558-B582

Schlagwörter: partition-of-unity, Algorithms for approximation of functions, data mapping, radial-basis functions, Numerical interpolation, math software, high-performance computing, multiphysics coupling, Parallel numerical computation

Dateibeschreibung: application/xml

Parallel numerical computation of mixed convection in a square enclosure with multiple heat sources on Anucluster: Mixed convection in a square cavity

Autoren: Mohit Nigam Parul Sharma Priti Kumari et al.

Quelle: International Journal of Advances in Engineering Sciences and Applied Mathematics. 7:96-105

Schlagwörter: 0203 mechanical engineering, 0103 physical sciences, 02 engineering and technology, 7. Clean energy, 01 natural sciences

Zugangs-URL: https://link.springer.com/content/pdf/10.1007%2Fs12572-015-0131-4.pdf
https://link.springer.com/article/10.1007/s12572-015-0131-4
https://link.springer.com/article/10.1007/s12572-015-0131-4/fulltext.html

Optimizing Coarse Propagators in Parareal Algorithms: Optimizing coarse propagators in parareal algorithms

Autoren: Bangti Jin Qingle Lin Zhi Zhou

Quelle: SIAM Journal on Scientific Computing. 47:A735-A761

Schlagwörter: Method of lines for initial value and initial-boundary value problems involving PDEs, convergence factor, single step integrator, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Error bounds for initial value and initial-boundary value problems involving PDEs, parareal algorithm, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, parabolic problems

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.15320
https://zbmath.org/8010023
https://doi.org/10.1137/23m1619733

A Selectively Relaxed Splitting Preconditioning Strategy for the Flux-Limited Multi-Group Radiation Diffusion Equations in Three Dimensions: A selectively relaxed splitting preconditioning strategy for the flux-limited multi-group radiation diffusion equations in three dimensions

Autoren: Yue, Xiaoqiang Zhang, Chenxi Chen, Chunyan et al.

Quelle: East Asian Journal on Applied Mathematics. 15:113-137

Schlagwörter: radiation diffusion equation, algebraic multigrid, parallel computing, Numerical methods for partial differential equations, boundary value problems, Preconditioners for iterative methods, Parallel numerical computation, selective relaxation, matrix splitting preconditioner

Dateibeschreibung: application/xml

A Multigrid Reduction Framework for Domains with Symmetries: A multigrid reduction framework for domains with symmetries

Autoren: Alsalti Baldellou, Àdel Janna, Carlo Álvarez Farré, Xavier et al.

Quelle: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Schlagwörter: Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids, FOS: Computer and information sciences, Àrees temàtiques de la UPC::Física::Termodinàmica, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Spatial symmetries, spatial symmetries, Navier-Stokes equations for incompressible viscous fluids, Parallel numerical computation, Numerical Analysis (math.NA), Computational methods for sparse matrices, Poisson's equation, Computer Science - Distributed, Parallel, and Cluster Computing, AMG, multigrid reduction, FOS: Mathematics, Multigrid reduction, Preconditioners for iterative methods, SpMM, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 65F08, 65F50, 65N55, 65Y05

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2407.05930
https://hdl.handle.net/11577/3552922
https://doi.org/10.1137/24M1638513

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms: New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms

Autoren: Martin J. Gander Liu-Di Lu

Quelle: SIAM Journal on Numerical Analysis. 62:2588-2610

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Controllability, parallel in time, time domain decomposition, 65M12, 65M55, 65Y05, Parallel numerical computation, parabolic optimal control problems, Numerical Analysis (math.NA), PDE constrained optimization (numerical aspects), 01 natural sciences, convergence analysis, Neumann-Neumann algorithm, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Optimization and Control (math.OC), Approximation by arbitrary linear expressions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Optimization and Control

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.15522
https://zbmath.org/7957568
https://doi.org/10.1137/24m1634424

PARALLEL NUMERICAL COMPUTATION: A COMPARATIVE STUDY ON CPU-GPU PERFORMANCE IN PI DIGITS COMPUTATION

Autoren: Tjandra, Yozef Lawalat, Sanga

Quelle: Jurnal Pilar Nusa Mandiri; Vol. 18 No. 2 (2022): Pilar Nusa Mandiri : Journal of Computing and Information System Publishing Period for September 2022; 93-100 ; 2527-6514 ; 1978-1946 ; 10.33480/pilar.v18i2

Schlagwörter: GPU, parallel computing, BBP formula, CPU-GPU comparison, parallel numerical method

Dateibeschreibung: application/pdf

Relation: https://ejournal.nusamandiri.ac.id/index.php/pilar/article/view/3291/950; https://ejournal.nusamandiri.ac.id/index.php/pilar/article/view/3291

Verfügbarkeit: https://ejournal.nusamandiri.ac.id/index.php/pilar/article/view/3291

Development of the Next-generation Atmosphere Dynamics Model in Russia: Current State and Prospects: Development of the next-generation atmosphere dynamics model in Russia: current state and prospects

Autoren: Shashkin, V. V. Goyman, G. S. Tretyak, I. D.

Quelle: Lobachevskii Journal of Mathematics. 45:3159-3172

Schlagwörter: Geophysical flows, Computational methods for problems pertaining to geophysics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, numerical weather prediction, Parallel numerical computation, meteorology, Meteorology and atmospheric physics, Euler equations, Finite difference methods applied to problems in fluid mechanics, climate modeling

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7954500
https://doi.org/10.1134/s1995080224603746

Parallel-in-Time Preconditioner for the Time Spectral Methods: Parallel-in-time preconditioner for the time spectral methods

Autoren: Changyang Tang Shu-Lin Wu Tao Zhou et al.

Quelle: Journal of Scientific Computing. 103

Schlagwörter: diagonalization-based techinique, parallel-in-time preconditioner, Parallel numerical computation, GMRES, time spectral method, spectral analysis, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8036983
https://doi.org/10.1007/s10915-025-02899-w

A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators: A two-level block preconditioned Jacobi-Davidson method for multiple and clustered eigenvalues of elliptic operators

Autoren: Qigang Liang Wei Wang Xuejun Xu

Quelle: SIAM Journal on Numerical Analysis. 62:998-1019

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element discretization, multiple and clustered eigenvalues, Rate of convergence, degree of approximation, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, PDE eigenvalue problems, preconditioned Jacobi-Davidson method, overlapping domain decomposition, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2203.06327

A simple regularized forward–backward–forward dynamical system for structured monotone inclusions: A simple regularized forward-backward-forward dynamical system for structured monotone inclusions

Autoren: Pham Ky Anh Trinh Ngoc Hai

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: iterative regularization method, Convex programming, Evolution inclusions, Parallel numerical computation, Monotone operators and generalizations, forward-backward-forward method, dynamical system, Numerical methods for variational inequalities and related problems, structured monotone inclusions

Dateibeschreibung: application/xml

Relaxed Two-Step Inertial Tseng’s Extragradient Method for Nonmonotone Variational Inequalities: Relaxed two-step inertial Tseng's extragradient method for nonmonotone variational inequalities

Autoren: Duong Viet Thong Pham Ky Anh Vu Tien Dung

Quelle: Journal of Optimization Theory and Applications. 205

Schlagwörter: nonmonotone mapping, Fixed-point theorems, Iterative procedures involving nonlinear operators, Variational and other types of inequalities involving nonlinear operators (general), two step inertial technique, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, weak convergence, Parallel numerical computation, Parallel algorithms in computer science, Tseng's extragradient method, variational inequality, Numerical methods for variational inequalities and related problems

Dateibeschreibung: application/xml

An efficient algorithm with double inertial steps for solving split common fixed point problems and an application to signal processing

Autoren: Duong Viet Thong Simeon Reich Xiao-Huan Li et al.

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: Fixed-point theorems, split common fixed point problem, demicontractive operator, Parallel numerical computation, Parallel algorithms in computer science, signal processing, Monotone operators and generalizations, self-adaptive algorithm, Numerical methods for variational inequalities and related problems, double inertial steps

Dateibeschreibung: application/xml

Matrix-Free Parallel Scalable Multilevel Deflation Preconditioning for Heterogeneous Time-Harmonic Wave Problems: Matrix-free parallel scalable multilevel deflation preconditioning for heterogeneous time-harmonic wave problems

Autoren: Jinqiang Chen Vandana Dwarka Cornelis Vuik

Quelle: Journal of Scientific Computing. 102

Schlagwörter: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, parallel computing, 65F08, 65Y05, 35J05, Parallel numerical computation, Numerical Analysis (math.NA), CSLP, G.1.0, FOS: Mathematics, scalable, Preconditioners for iterative methods, Helmholtz equation, Mathematics - Numerical Analysis, deflation, matrix-free

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2412.04980

Communication Avoiding Block Low-Rank Parallel Multifrontal Triangular Solve with Many Right-Hand Sides: Communication avoiding block low-rank parallel multifrontal triangular solve with many right-hand sides

Autoren: Amestoy, Patrick Boiteau, Olivier Buttari, Alfredo et al.

Weitere Verfasser: Amestoy, Patrick Boiteau, Olivier Buttari, Alfredo et al.

Quelle: SIAM Journal on Matrix Analysis and Applications. 45:148-166

Schlagwörter: block low-rank matrices, linear systems, Numerical methods for low-rank matrix approximation, matrix compression, [MATH] Mathematics [math], Parallel numerical computation, [INFO] Computer Science [cs], Direct numerical methods for linear systems and matrix inversion, communication avoiding algorithms, Computational methods for sparse matrices, LU factorization, low-rank approximations, numerical linear algebra, data sparse matrices, [INFO]Computer Science [cs], triangular solve, [MATH]Mathematics [math]

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/7791523
https://doi.org/10.1137/23m1568600
https://hal.science/hal-04082415v1/document
https://doi.org/10.1137/23m1568600
https://hal.science/hal-04082415v1

A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications: A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on rectangular domains and its applications

Autoren: Liu, Xinyu Shen, Jie Zhang, Xiangxiong

Quelle: Communications in Computational Physics. 36:1157-1185

Schlagwörter: Numerical computation of matrix exponential and similar matrix functions, Finite difference methods for boundary value problems involving PDEs, FOS: Computer and information sciences, tensor matrix multiplication, rectangular domain, GPU, Parallel numerical computation, spectral element methods, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, direct solver, Computer Science - Distributed, Parallel, and Cluster Computing, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 3D Poisson equation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2310.00226

The parareal algorithm for Caputo-Hadamard fractional differential equations

Autoren: He, Tingting Lu, Jian Li, Min

Quelle: Communications on Analysis and Computation. 2:432-453

Schlagwörter: auxiliary variables, Volterra integral equations, parareal algorithm, local time-integrators, Parallel numerical computation, Numerical methods for integral equations, Caputo-Hadamard fractional differential equations

Dateibeschreibung: application/xml

A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations: A generalized selectively relaxed matrix splitting preconditioning strategy for three-dimensional flux-limited multi-group radiation diffusion equations

Autoren: Yue, Xiaoqiang Xia, Sheng Chen, Chunyan et al.

Quelle: Numerical Mathematics: Theory, Methods and Applications. 17:630-657

Schlagwörter: Multigrid methods, domain decomposition for boundary value problems involving PDEs, algebraic multigrid, matrix splitting preconditioning, Finite volume methods for boundary value problems involving PDEs, radiation diffusion equations, Preconditioners for iterative methods, Parallel numerical computation, selective relaxation, parallel and distributed computing

Dateibeschreibung: application/xml

Parallel Numerical Computation with Applications