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PHOENIX – paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions

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Computer Physics Communications 2025年 315卷

作者： Jan Wingenbach David Bauch Xuekai Ma Robert Schade Christian Plessl Stefan Schumacher Department of Physics and Center for Optoelectronics and Photonics Paderborn (CeOPP) Paderborn University Warburger Strasse 100 33098 Paderborn Germany Institute for Photonic Quantum Systems (PhoQS) Paderborn University Warburger Strasse 100 33098 Paderborn Germany Paderborn Center for Parallel Computing (PC2) Paderborn University Warburger Strasse 100 33098 Paderborn Germany Department of Computer Science Paderborn University Warburger Strasse 100 33098 Paderborn Germany Wyant College of Optical Sciences University of Arizona Tucson AZ 85721 USA

In this work, we introduce PHOENIX, a highly optimized explicit open-source solver for two-dimensional nonlinear Schrödinger equations with extensions. The nonlinear Schrödinger equation and its extensions (Gross-Pitaevskii equation) are widely studied to model and analyze complex phenomena in fields such as optics, condensed matter physics, fluid dynamics, and plasma physics. It serves as a powerful tool for understanding nonlinear wave dynamics, soliton formation, and the interplay between nonlinearity, dispersion, and diffraction. By extending the nonlinear Schrödinger equation, various physical effects such as non-Hermiticity, spin-orbit interaction, and quantum optical aspects can be incorporated. PHOENIX is designed to accommodate a wide range of applications by a straightforward extendability without the need for user knowledge of computing architectures or performance optimization. The high performance and power efficiency of PHOENIX are demonstrated on a wide range of entry-class to high-end consumer and high-performance computing GPUs and CPUs. Compared to a more conventional MATLAB implementation, a speedup of up to three orders of magnitude and energy savings of up to 99.8% are achieved. The performance is compared to a performance model showing that PHOENIX performs close to the relevant performance bounds in many situations. The possibilities of PHOENIX are demonstrated with a range of practical examples from the realm of nonlinear (quantum) photonics in planar microresonators with active media including exciton-polariton condensates. Examples range from solutions on very large grids, the use of local optimization algorithms, to Monte Carlo ensemble evolutions with quantum noise enabling the tomography of the system's quantum state. Program summary Program Title: PHOENIX Cpc Library link to program files: https://***/10.17632/kthy8wj3n5.1 Developer's repository link: https://***/Schumacher-Group-UPB/PHOENIX/ Licensing provision: MIT Programm

关键词： Schrodinger equation

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Evaluation of applied intra-disk redundancy schemes to improve single disk reliability

Evaluation of applied intra-disk redundancy schemes to impro...

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IEEE Annual International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems

作者： Grawinkel, Matthias Schäfer, Thorsten Brinkmann, André Hagemeyer, Jens Porrmann, Mario Paderborn Center for Parallel Computing PC2 University of Paderborn Germany Heinz Nixdorf Institute System and Circuit Technology University of Paderborn Germany

ISBN: (纸本)9780769544304

Exponentially growing capacities of disk drives have increased the problem that not only a complete disk can fail, but also individual, small groups of sectors can be erroneous. These sector errors are especially critical during RAID rebuilds because they can only be detected when the corresponding sectors are read. Mechanisms to cope with sector errors, therefore, have become an important way to improve disk reliability. One approach to deal with sector errors is the introduction of intra-disk redundancy, where additional redundancy blocks are calculated and stored for each set of disk sectors. Previous studies have introduced intra-disk redundancy schemes and have evaluated their impact on disk reliability. None of these studies has evaluated the influence on disk drive performance or the underlying energy consumption. The study presented in this paper benchmarks existing schemes concerning these metrics. It shows the surprising result that weaker codes combined with newly introduced scrambling techniques can produce faster layouts with similar reliability properties than previously proposed strong codes. © 2011 IEEE.

关键词： Energy utilization

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Lonestar: An Energy-Aware Disk Based Long-Term Archival Storage System

Lonestar: An Energy-Aware Disk Based Long-Term Archival Stor...

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International Conference on parallel and Distributed Systems (ICPADS)

作者： Matthias Grawinkel Markus Pargmann Hubert Domer Andre Brinkmann Paderborn Center of Parallel Computing PC2 University of Paderborn Germany

We present the architecture for an disk based archival storage system and propose a new RAID scheme that is designed for "write once, read sometimes" workloads. By intertwining parity groups into a multi-dimensional RAID and improving the single disk reliability with intra-disk redundancy, the system achieves an elastic fault tolerance that can at least recover from all 3-disk failures. We do not stripe data to multiple disks and store related information to the same disks. Typically, all disks of the RAID are powered off, and for a read request, only a single disk has to be spun up, while write and rebuild processes require multiple disks. We analyzed our RAID scheme and showed that it provides a MTTDL that is orders of magnitudes higher than a set of RAID6 systems with a similar amount of disk drives. We also present and evaluate our prototype and show that it is well suited for archival scenarios.

关键词： Energy consumption Redundancy Arrays Servers Fault tolerant systems

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Reservation-Based Overbooking for Hpc Clusters

Reservation-Based Overbooking for HPC Clusters

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IEEE International Conference on Cluster computing

作者： Georg Birkenheuer Andre Brinkmann Paderborn Center of Parallel Computing (PC2) University of Paderborn Germany

Hpc environments are not only used in research and academia anymore, but are also becoming commercially available and successful. Hpc resource providers, which offer Hpc services over the Internet, have to ensure a very high utilization rate to be competitive and profitable. One solution to improve utilization is the use of overbooking. This paper shows an improved overbooking approach for Hpc providers that serves this purpose. Resources are not assigned to a job until it actually starts. This enhances the scheduler's degree of freedom and therefore improves the overbooking performance. We evaluated the potential of this approach using real-world job traces. Given a sufficient expected demand, overbooking is applicable and provides additional profit.

关键词： Runtime Estimation Schedules Probability density function parallel processing Conferences

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Evaluation of Applied Intra-disk Redundancy Schemes to Improve Single Disk Reliability

Evaluation of Applied Intra-disk Redundancy Schemes to Impro...

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International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems (MASCOTS)

作者： Matthias Grawinkel Thorsten Schafer Andre Brinkmann Jens Hagemeyer Mario Porrmann Paderborn Center of Parallel Computing PC2 University of Paderborn Germany Heinz Nixdorf Institute System and Circuit Technology University of Paderborn Germany

关键词： Redundancy Disk drives Encoding Power measurement Hard disks Energy consumption

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SkewCCC+: A heterogeneous distributed hash table

SkewCCC+: A heterogeneous distributed hash table

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14th International Conference on Principles of Distributed Systems, OPODIS 2010

作者： Bienkowski, Marcin Brinkmann, André Klonowski, Marek Korzeniowski, Miroslaw Institute of Computer Science University of Wroclaw Poland Paderborn Center for Parallel Computing PC2 University of Paderborn Germany Inst. of Mathematics and Computer Science Wroclaw Univ. of Technology Poland

ISBN: (纸本)3642176526

Distributed Hash Tables (DHTs) enable fully distributed Peer-to-Peer network construction and maintenance with name-driven routing. There exist very few DHT approaches that consider heterogeneity of nodes inside the construction process or properly serve data of different load. To our best knowledge, there is no construction which smoothly addresses both these issues. We propose a Peer-to-Peer construction that explicitly uses heterogeneity to simplify the routing and maintenance process even in the presence of an adaptive adversary. Using a hypercube and cube connected cycles networks as a backbone, we show how to cope with two types of heterogeneity: one for nodes and one for data. © 2010 Springer-Verlag.

关键词： Peer to peer networks

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Non-intrusive virtualization management using libvirt 10

Non-intrusive virtualization management using libvirt

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Design, Automation and Test in Europe Conference and Exhibition

作者： Matthias Bolte Michael Sievers Georg Birkenheuer Oliver Niehörster André Brinkmann Paderborn Center of Parallel Computing PC2 University of Paderborn Paderborn Germany

ISBN: (纸本)9783981080162

The success of server virtualization has let to the deployment of a huge number of virtual machines in today's data centers, making a manual virtualization management very labor-intensive. The development of appropriate management solutions is hindered by the various management interfaces of different hypervisors. Therefore, a uniform management can be simplified by a layer abstracting from these dedicated hypervisor interfaces. The libvirt management library provides such an interface to different hypervisors. Unfortunately, remote hypervisor management using libvirt has not been possible without altering the managed servers. To overcome this limitation, we have integrated remote hypervisor management facilities into the libvirt driver infrastructure for VMware ESX and Microsoft Hyper-V. This paper presents the resulting architecture as well as experiences gained during the implementation process.

关键词： Virtual machine monitors Virtual machining Operating systems Environmental management Platform virtualization Libraries Resource management Hardware parallel processing Isolation technology

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Implementation of Virtual Execution Environments for Improving SLA-Compliant Job Migration in Grids

Implementation of Virtual Execution Environments for Improvi...

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International Conference on parallel Processing Workshops (ICPPW)

作者： Dominic Battré Matthias Hovestadt Odej Kao Axel Keller Kerstin Voss Technische Universität Berlin Germany Paderborn Center for Parallel Computing (PC) Universitat Paderborn Germany

Commercial Grid users demand for contractually fixed QoS levels. Service Level Agreements (SLAs) are powerful instruments for describing such contracts. SLA-aware resource management is the foundation for realizing SLA contracts within the Grid. Open CCS is such an SLA-aware RMS, using transparent checkpointing to cope with resource outages. It generates a compatibility profile for each checkpoint dataset, so that the job can be resumed even on resources within the Grid. However, only a small number of Grid resources comply to such a profile. This paper describes the concept of virtual execution environments and how they increase the number of potential migration *** paper also describes how these virtual execution environments have been implemented within the Open CCS resource management system.

关键词： Operating systems Libraries Fault tolerance Fault tolerant systems Quality of service Middleware Runtime

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Virtual Execution Environments for ensuring SLA-compliant Job Migration in Grids

Virtual Execution Environments for ensuring SLA-compliant Jo...

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IEEE International Conference on Services computing (SCC)

作者： Dominic Battre Matthias Hovestadt Odej Kao Axel Keller Kerstin Voss Technische Universität Berlin Germany Paderborn Center for Parallel Computing (PC2) Universität Paderborn Germany

OpenCCS is an SLA-aware resource management system which uses transparent checkpointing of applications and migration of checkpoint datasets for ensuring SLA-compliance also in case of resource outages. Migration of checkpoints presumes a high grade of compatibility between source and target resource. Hence, even in large Grid systems only a small number of resources are eligible migration targets. This short paper describes the concept of virtual execution environments and how they increase the number of potential migration targets. It will also outline an implementation within OpenCCS.

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ON ARCHITECTURE FOR SLA-AWARE WORKFLOWS IN GRID ENVIRONMENTS

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Journal of Interconnection Networks 2005年第3期6卷 245-263页

作者： Dang Minh Quan Odej Kao Paderborn Center for Parallel Computing (PC2) University of Paderborn Fuerstenalle 11 Paderborn 33102 Germany Department of Computer Science and Paderborn Center for Parallel Computing (PC2) University of Paderborn Fuerstenalle 11 Paderborn 33102 Germany

Service Level Agreements (SLAs) are currently one of the major research topics in Grid computing, as they serve as a foundation for reliable and predictable Grids. SLAs define an explicit statement of expectations and obligations in a business relationship between provider and customer. Thus, SLAs should guarantee the desired and a-priori negotiated Quality of Service (QoS), which is a mandatory prerequisite for the Next Generation Grids. This development is proved by a manifold research work about SLAs and architectures for implementing SLAs in Grid environments. However, this work is mostly related to SLAs for standard, monolithic Grid jobs and neglects the dependencies between different steps of operation. The complexity of an SLA-specification for workflows grows significantly, as characteristics of correlated sub-jobs, the data transfer phases, the deadline constraints and possible failures have to be considered. Thus, an architecture for an SLA-aware workflow implementation needs sophisticated mechanisms for specification and management, sub-job mapping, data transfer optimization and fault reaction. Therefore, this paper presents an architecture for SLA-aware Grid workflows. The main contributions are an improved specification language for SLA-aware workflows, a mapping and optimization algorithm for sub-job assignment to Grid resources and a prototype implementation using standard middleware. Experimental measurements prove the quality of the development.

关键词： Service Level Agreement (SLA) workflow Grid computing

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