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Page 4262 of Mathematical Reviews Vol. , Issue 95g [page]

1995 Mathematical Reviews  
Summary: “We present an algorithm for computing a linear re- currence system R(n,m) of order m for n equations on an MIMD parallel system.  ...  We analyse how to achieve max- imal load balancing when the algorithm is implemented on an MIMD parallel system. At the end of the paper, an analysis of the speedup and parallel efficiency is given.  ... 

Parallel Algorithm for Meshfree Radial Point Interpolation Method on Graphics Hardware

Susumu Nakata, Yu Takeda, Norihisa Fujita, Soichiro Ikuno
2011 IEEE transactions on magnetics  
Our numerical tests confirm that the algorithm performed on the GPU accelerates the computations by a factor of maximum 15.  ...  Index Terms-Boundary value problems, meshfree method, numerical analysis, parallel algorithm.  ...  PARALLEL ALGORITHM OF MODIFIED RPIM The parallel algorithm of the modified RPIM on the GPU is based on the following ideas. 1) The computations of definite integrals in (1) are divided into integrals over  ... 
doi:10.1109/tmag.2010.2091110 fatcat:xmwkqwcrdvdidl67mwvot7pb5e

Parallel High-Dimensional Integration: Quasi-Monte Carlo versus Adaptive Cubature Rules [chapter]

Rudolf Schürer
2001 Lecture Notes in Computer Science  
Parallel algorithms for the approximation of a multi-dimensional integral over an hyper-rectangular region are discussed.  ...  Algorithms based on quasi-Monte Carlo techniques are compared with adaptive algorithms, and scalable parallel versions of both algorithms are presented.  ...  Common methods to tackle this problem on (parallel) computer systems are presented in [1, 2] .  ... 
doi:10.1007/3-540-45545-0_137 fatcat:boqyie73sbearnawqsa3czxokq

A Study on Adaptive Algorithms for Numerical Quadrature on Heterogeneous GPU and Multicore Based Systems [chapter]

Giuliano Laccetti, Marco Lapegna, Valeria Mele, Diego Romano
2014 Lecture Notes in Computer Science  
In this work, a parallel adaptive algorithm for the computation of a multidimensional integral on heterogeneous GPU and multicore based systems is described.  ...  an efficient execution on the GPU of the computational kernel.  ...  CPU, and an Integration Formula Level Parallelism to evaluate the basic rule (2) on the GPU device.  ... 
doi:10.1007/978-3-642-55224-3_66 fatcat:lgde7btfnjf5xpcq35pcuzcyfi

Parallel adaptive integration in high-performance functional Renormalization Group computations [article]

Julian Lichtenstein, David Sánchez de la Peña RWTH Aachen University, Forschungszentrum Jülich)
2016 arXiv   pre-print
In this work we present one of the latest realizations of fRG which makes use of an adaptive numerical quadrature scheme specifically tailored to the described fRG scheme.  ...  The final result is an increase in performance thanks to improved parallelism and scalability.  ...  Special thanks to JSC Guest Student Programme which sponsored the research internship of one of the authors.  ... 
arXiv:1610.09991v1 fatcat:jkerxtnravcqznyrnix7zcqsa4

Parallel Adaptive Integration in High-Performance Functional Renormalization Group Computations [chapter]

Julian Lichtenstein, Jan Winkelmann, David Sánchez de la Peña, Toni Vidović, Edoardo Di Napoli
2017 Lecture Notes in Computer Science  
In this work we present one of the latest realizations of fRG which makes use of an adaptive numerical quadrature scheme specifically tailored to the described fRG scheme.  ...  The final result is an increase in performance thanks to improved parallelism and scalability.  ...  Special thanks to JSC Guest Student Programme which sponsored the research internship of one of the authors.  ... 
doi:10.1007/978-3-319-53862-4_15 fatcat:tprshrqdxbeftai7qaj4qlybkm

Agent-based computing, adaptive algorithms and bio computing

Krzysztof Centarowicz, Maciej Paszyński, David Pardo, Tibor Bosse, Han La Poutré
2010 Procedia Computer Science  
This workshop focuses on the various applications of agent-oriented and adaptive systems and the roles of interactions of intelligent agents to build intelligent systems for miscellaneous, interesting  ...  Agent-oriented system seems to be the attractive tool useful for numerous domains of applications.  ...  The paper "Agent-based parallel system for numerical computations" by Marcin Sieniek et al., introduces an agent-based system for hp adaptive FEM simulations, including the management of mesh refinements  ... 
doi:10.1016/j.procs.2010.04.218 fatcat:dcyr7buirnh5xkeifhfs4qn3sa

A Double Adaptive Algorithm for Multidimensional Integration on Multicore Based HPC Systems

Giuliano Laccetti, Marco Lapegna, Valeria Mele, Diego Romano, Almerico Murli
2011 International journal of parallel programming  
In this work, a parallel double adaptive algorithm for the computation of a multidimensional integral on multicore based multicomputer systems is described.  ...  This new algorithm is the revision of a procedure developed by one of the present authors for multicomputer systems, with the aim to introduce features for an efficient implementation in multicore based  ...  Adaptive Algorithms for Multidimensional Integration Given U = [a 1 , b 1 ] × · · · × [a d , b d ] ⊂ R d a d-dimensional hyper-rectangular region, an adaptive algorithm for the numerical computation of  ... 
doi:10.1007/s10766-011-0191-4 fatcat:lphwplnpyff6vmmfnvye2ebtzy

Object-oriented software for domain decomposition methods with local adaptive refinement [chapter]

S.P. Kopyssov, I.V. Krasnoperov, A.K. Novikov, V.N. Rychkov
2004 Parallel Computational Fluid Dynamics 2003  
Object-oriented analysis and parallel distributed middleware are applied to design the software model aimed at solution of fluid-structure interaction problems.  ...  The analysis framework is presented; its facilities are demonstrated with an example.  ...  In particular, theoretical and real rates of convergence of the implemented algorithms, including adaptive refinement, have been compared and computational costs have been evaluated.  ... 
doi:10.1016/b978-044451612-1/50054-8 fatcat:ywrfay2irvbqlje4wkdqpnsirq

PAGANI: A Parallel Adaptive GPU Algorithm for Numerical [article]

Ioannis Sakiotis, Kamesh Arumugam, Marc Paterno, Desh Ranjan, Balša Terzić, Mohammad Zubair
2021 arXiv   pre-print
We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures.  ...  Adaptive algorithms have demonstrated the best performance, but efficient many-core utilization is difficult to achieve because the adaptive work-load can vary greatly across the integration space and  ...  Nonetheless, we believe that any analysis of numerical integration algorithms, whether sequential or parallel, deterministic or probabilistic, should evaluate the accuracy of the yielded estimates, especially  ... 
arXiv:2104.06494v2 fatcat:vzfw7xay6naapm4nutmyzoxagm

Parallel implementation of an adaptive and parameter-free N-body integrator

C. David Pruett, William H. Ingham, Ralph D. Herman
2011 Computer Physics Communications  
Previously, Pruett et al. (2003) [3] described an N-body integrator of arbitrarily high order M with an asymptotic operation count of O (M 2 N 2 ).  ...  The algorithm's structure lends itself readily to data parallelization, which we document and demonstrate here in the integration of point-mass systems subject to Newtonian gravitation.  ...  Chambers of the Carnegie Institution of Washington for granting access to his hybrid symplectic integrator MER-CURY6 and for gracious assistance in its use.  ... 
doi:10.1016/j.cpc.2011.01.014 fatcat:ywj27xirzzd67nrwwij4o4raba

Page 4869 of Mathematical Reviews Vol. , Issue 88i [page]

1988 Mathematical Reviews  
The first part deals with the derivation of an algorithm for the numerical solution of a system of linear second- order ordinary differential equations (ODEs) of the hypergeometric type.  ...  A meta-algorithm for adaptive integration is specified. It includes a class of adaptive integrators which apply extrapolation to deal with boundary singularities.  ... 

Page 5714 of Mathematical Reviews Vol. , Issue 2000h [page]

2000 Mathematical Reviews  
Rosato, Parallel tight-binding molecular dynamics code based on integration of HPF and optimized parallel libraries (104-111).  ...  ); Xing Cai, Numerical simulation of 3D fully nonlinear water waves on parallel computers (48-55); R.  ... 

On parallel solution of ordinary differential equations [article]

Alejandra Gaitán Montejo, Octavio A. Michel-Manzo, César A. Terrero-Escalante
2016 arXiv   pre-print
A new algorithm is proposed where full parallelization is used to estimate the best stepsize for integration.  ...  It is shown that this new method outperforms the others, notably, in the integration of very large systems.  ...  The work of CAT-E was also partially funded by FRABA-UCOL-14-2013 (México).  ... 
arXiv:1601.02245v1 fatcat:f6yesf5fdbgnthjkf6pybwzsli

Page 5137 of Mathematical Reviews Vol. , Issue 2000g [page]

2000 Mathematical Reviews  
Zenger, Numerical turbulence simulation on a parallel computer using the combi- nation method (34-47); Frank Lohmeyer and Oliver Vornberger, CFD with adaptive FEM on massively parallel systems (48-63);  ...  Doltsinis and Jiirgen Urban, An adaptive operator technique for hypersonic flow simulation on parallel computers (165-183); Carsten MaaB and Ulrich Schumann, Direct numerical simulation of separated turbulent  ... 
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