The Experts below are selected from a list of 72666 Experts worldwide ranked by ideXlab platform
Antonella Zanna - One of the best experts on this subject based on the ideXlab platform.
-
Explicit volume-preserving splitting methods for polynomial divergence-Free Vector fields
BIT Numerical Mathematics, 2012Co-Authors: Huiyan Xue, Antonella ZannaAbstract:We present new, explicit, volume-preserving splitting methods for polynomial divergence-Free Vector fields of arbitrary degree (both positive and negative). The main idea is to decompose the divergence polynomial by means of an appropriate basis for polynomials: the monomial basis. For each monomial basis function, the split fields are then identified by collecting the appropriate terms in the Vector field so that each split Vector field is volume preserving. We show that each split field can be integrated exactly by analytical methods. Thus, the composition yields a volume preserving numerical method. Our numerical tests indicate that the methods compare favorably to standard integrators both in the quality of the numerical solution and the computational effort.
-
Explicit Volume-Preserving Splitting Methods for Polynomial Divergence-Free Vector Fields
arXiv: Numerical Analysis, 2012Co-Authors: Huiyan Xue, Antonella ZannaAbstract:We present new, explicit, volume-preserving Vector fields for polynomial divergence-Free Vector fields of arbitrary degree (both positive and negative). The main idea is to decompose the divergence polynomial by means of an appropriate basis for polynomials: the monomial basis. For each monomial basis function, the split fields are then identified by collecting the appropriate terms in the Vector field so that each split Vector field is divergence Free. We show that each split field can be integrated exactly by analytical methods. Thus, the composition yields a volume preserving numerical method. Our numerical tests indicate that the methods compare favorably to standard integrators both in the quality of the numerical solution and the computational effort.
-
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields
Foundations of Computational Mathematics, 2007Co-Authors: Robert I. Mclachlan, Hans Munthe-kaas, G. R. W. Quispel, Antonella ZannaAbstract:We present new explicit volume-preserving methods based on splitting for polynomial divergence-Free Vector fields. The methods can be divided in two classes: methods that distinguish between the diagonal part and the off-diagonal part and methods that do not. For the methods in the first class it is possible to combine different treatments of the diagonal and off-diagonal parts, giving rise to a number of possible combinations.
Philippas Tsigas - One of the best experts on this subject based on the ideXlab platform.
-
IPDPS - Scalable Lock-Free Vector with Combining
2017 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2017Co-Authors: Ivan Walulya, Philippas TsigasAbstract:Dynamic Vectors are among the most commonly used data structures in programming. They provide constant time random access and resizable data storage. Additionally, they provide constant time insertion (pushback) and deletion (popback) at the end of the sequence. However, in a multithreaded system, concurrent pushback and popback operations attempt to update the same shared object, creating a synchronization bottleneck. In this paper, we present a lock-Free Vector design that efficiently addresses the synchronization bottlenecks by utilizing a combining technique on pushback operations. Typical combining techniques come with the price of blocking. Our design introduces combining without sacrificing lock-Freedom. We evaluate the performance of our design on a dual socket NUMA Intel server. The results show that our design performs comparably at low loads, and out-performs prior concurrent blocking and non-blocking Vector implementations at high contention, by as much as 2.7x.
Dechevdamian - One of the best experts on this subject based on the ideXlab platform.
-
An Efficient Wait-Free Vector
IEEE Transactions on Parallel and Distributed Systems, 2016Co-Authors: Feldmansteven, Valera-leoncarlos, DechevdamianAbstract:The Vector is a fundamental data structure, which provides constant-time access to a dynamically-resizable range of elements. Currently, there exist no wait-Free Vectors. The only non-blocking vers...
Ivan Walulya - One of the best experts on this subject based on the ideXlab platform.
-
IPDPS - Scalable Lock-Free Vector with Combining
2017 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2017Co-Authors: Ivan Walulya, Philippas TsigasAbstract:Dynamic Vectors are among the most commonly used data structures in programming. They provide constant time random access and resizable data storage. Additionally, they provide constant time insertion (pushback) and deletion (popback) at the end of the sequence. However, in a multithreaded system, concurrent pushback and popback operations attempt to update the same shared object, creating a synchronization bottleneck. In this paper, we present a lock-Free Vector design that efficiently addresses the synchronization bottlenecks by utilizing a combining technique on pushback operations. Typical combining techniques come with the price of blocking. Our design introduces combining without sacrificing lock-Freedom. We evaluate the performance of our design on a dual socket NUMA Intel server. The results show that our design performs comparably at low loads, and out-performs prior concurrent blocking and non-blocking Vector implementations at high contention, by as much as 2.7x.
Ya Wang - One of the best experts on this subject based on the ideXlab platform.
-
Calibration-Free Vector Magnetometry Using Nitrogen-Vacancy Center in Diamond Integrated with Optical Vortex Beam.
Nano letters, 2020Co-Authors: Bing Chen, Xianfei Hou, Xiaohan Zhang, Peng Qian, Ya WangAbstract:We report a new method to determine the orientation of individual nitrogen-vacancy (NV) centers in a bulk diamond and use them to realize a calibration-Free Vector magnetometer with nanoscale resolution. Optical vortex beam is used for optical excitation and scanning the NV center in a [111]-oriented diamond. The scanning fluorescence patterns of NV center with different orientations are completely different. Thus, the orientation information on each NV center in the lattice can be known directly without any calibration process. Further, we use three differently oriented NV centers to form a magnetometer and reconstruct the complete Vector information on the magnetic field based on the optically detected magnetic resonance(ODMR) technique. Compared with previous schemes to realize Vector magnetometry using an NV center, our method is much more efficient and is easily applied in other NV-based quantum sensing applications.
