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67-482: The Hitachi SR8000 is a high-performance supercomputer manufactured by the Hitachi c. 2001. It comprises 4 to 512 nodes, each containing multiple Hitachi RISC microprocessors. Cooperative microprocessors are assigned to the same address space for synchronicity within each node. In 2002, Yasumasa Kanada calculated the decimal expansion of pi to 1.24 trillion digits using this model. This computing article

134-506: A massively parallel processing architecture, with 514 microprocessors , including 257 Zilog Z8001 control processors and 257 iAPX 86/20 floating-point processors . It was mainly used for rendering realistic 3D computer graphics . Fujitsu's VPP500 from 1992 is unusual since, to achieve higher speeds, its processors used GaAs , a material normally reserved for microwave applications due to its toxicity. Fujitsu 's Numerical Wind Tunnel supercomputer used 166 vector processors to gain

201-438: A better balance of size, speed, cost, reliability and potential for further improvements. Drums were then replaced by hard disk drives for secondary storage , which were both less expensive and offered denser storage. The manufacturing of drums ceased in the 1970s. A drum memory or drum storage unit contained a large metal cylinder, coated on the outside surface with a ferromagnetic recording material. It could be considered

268-580: A desktop computer has performance in the range of hundreds of gigaFLOPS (10 ) to tens of teraFLOPS (10 ). Since November 2017, all of the world's fastest 500 supercomputers run on Linux -based operating systems. Additional research is being conducted in the United States, the European Union, Taiwan, Japan, and China to build faster, more powerful and technologically superior exascale supercomputers. Supercomputers play an important role in

335-514: A head just in time. This method of timing-compensation, called the "skip factor" or " interleaving ", was used for many years in storage memory controllers. Tauschek's original drum memory (1932) had a capacity of about 500,000 bits (62.5 kilobytes ). One of the earliest functioning computers to employ drum memory was the Atanasoff–Berry computer (1942). It stored 3,000 bits; however, it employed capacitance rather than magnetism to store

402-457: A high performance I/O system to achieve high levels of performance. Since 1993, the fastest supercomputers have been ranked on the TOP500 list according to their LINPACK benchmark results. The list does not claim to be unbiased or definitive, but it is a widely cited current definition of the "fastest" supercomputer available at any given time. This is a list of the computers which appeared at

469-659: A larger system such as a full Linux distribution on server and I/O nodes. While in a traditional multi-user computer system job scheduling is, in effect, a tasking problem for processing and peripheral resources, in a massively parallel system, the job management system needs to manage the allocation of both computational and communication resources, as well as gracefully deal with inevitable hardware failures when tens of thousands of processors are present. Although most modern supercomputers use Linux -based operating systems, each manufacturer has its own specific Linux distribution, and no industry standard exists, partly due to

536-499: A lot of capacity but are not typically considered supercomputers, given that they do not solve a single very complex problem. In general, the speed of supercomputers is measured and benchmarked in FLOPS (floating-point operations per second), and not in terms of MIPS (million instructions per second), as is the case with general-purpose computers. These measurements are commonly used with an SI prefix such as tera- , combined into

603-401: A magnetic head above a rapidly rotating magnetic drum." Flying heads became standard in drums and hard disk drives . Magnetic drum units used as primary memory were addressed by word. Drum units used as secondary storage were addressed by block. Several modes of block addressing were possible, depending on the device. Some devices were divided into logical cylinders, and addressing by track

670-472: A processing power of over 166 petaFLOPS through over 762 thousand active Computers (Hosts) on the network. As of October 2016 , Great Internet Mersenne Prime Search 's (GIMPS) distributed Mersenne Prime search achieved about 0.313 PFLOPS through over 1.3 million computers. The PrimeNet server has supported GIMPS's grid computing approach, one of the earliest volunteer computing projects, since 1997. Quasi-opportunistic supercomputing

737-483: A single large problem in the shortest amount of time. Often a capability system is able to solve a problem of a size or complexity that no other computer can, e.g. a very complex weather simulation application. Capacity computing, in contrast, is typically thought of as using efficient cost-effective computing power to solve a few somewhat large problems or many small problems. Architectures that lend themselves to supporting many users for routine everyday tasks may have

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804-572: A team led by Tom Kilburn . He designed the Atlas to have memory space for up to a million words of 48 bits, but because magnetic storage with such a capacity was unaffordable, the actual core memory of the Atlas was only 16,000 words, with a drum providing memory for a further 96,000 words. The Atlas Supervisor swapped data in the form of pages between the magnetic core and the drum. The Atlas operating system also introduced time-sharing to supercomputing, so that more than one program could be executed on

871-511: Is a bare-metal compute model to execute code, but each user is given virtualized login node. POD computing nodes are connected via non-virtualized 10 Gbit/s Ethernet or QDR InfiniBand networks. User connectivity to the POD data center ranges from 50 Mbit/s to 1 Gbit/s. Citing Amazon's EC2 Elastic Compute Cloud, Penguin Computing argues that virtualization of compute nodes

938-494: Is a stub . You can help Misplaced Pages by expanding it . Supercomputer A supercomputer is a type of computer with a high level of performance as compared to a general-purpose computer. The performance of a supercomputer is commonly measured in floating-point operations per second ( FLOPS ) instead of million instructions per second (MIPS). Since 2022, supercomputers have existed which can perform over 10  FLOPS, so called exascale supercomputers . For comparison,

1005-415: Is a form of distributed computing whereby the "super virtual computer" of many networked geographically disperse computers performs computing tasks that demand huge processing power. Quasi-opportunistic supercomputing aims to provide a higher quality of service than opportunistic grid computing by achieving more control over the assignment of tasks to distributed resources and the use of intelligence about

1072-466: Is an emerging direction, e.g. as in the Cyclops64 system. As the price, performance and energy efficiency of general-purpose graphics processing units (GPGPUs) have improved, a number of petaFLOPS supercomputers such as Tianhe-I and Nebulae have started to rely on them. However, other systems such as the K computer continue to use conventional processors such as SPARC -based designs and

1139-737: Is converted into heat, requiring cooling. For example, Tianhe-1A consumes 4.04  megawatts (MW) of electricity. The cost to power and cool the system can be significant, e.g. 4 MW at $ 0.10/kWh is $ 400 an hour or about $ 3.5 million per year. Heat management is a major issue in complex electronic devices and affects powerful computer systems in various ways. The thermal design power and CPU power dissipation issues in supercomputing surpass those of traditional computer cooling technologies. The supercomputing awards for green computing reflect this issue. The packing of thousands of processors together inevitably generates significant amounts of heat density that need to be dealt with. The Cray-2

1206-409: Is not suitable for HPC. Penguin Computing has also criticized that HPC clouds may have allocated computing nodes to customers that are far apart, causing latency that impairs performance for some HPC applications. Supercomputers generally aim for the maximum in capability computing rather than capacity computing. Capability computing is typically thought of as using the maximum computing power to solve

1273-684: Is quite difficult to debug and test parallel programs. Special techniques need to be used for testing and debugging such applications. Opportunistic supercomputing is a form of networked grid computing whereby a "super virtual computer" of many loosely coupled volunteer computing machines performs very large computing tasks. Grid computing has been applied to a number of large-scale embarrassingly parallel problems that require supercomputing performance scales. However, basic grid and cloud computing approaches that rely on volunteer computing cannot handle traditional supercomputing tasks such as fluid dynamic simulations. The fastest grid computing system

1340-428: Is the volunteer computing project Folding@home (F@h). As of April 2020 , F@h reported 2.5 exaFLOPS of x86 processing power. Of this, over 100 PFLOPS are contributed by clients running on various GPUs, and the rest from various CPU systems. The Berkeley Open Infrastructure for Network Computing (BOINC) platform hosts a number of volunteer computing projects. As of February 2017 , BOINC recorded

1407-556: The Blue Gene system, IBM deliberately used low power processors to deal with heat density. The IBM Power 775 , released in 2011, has closely packed elements that require water cooling. The IBM Aquasar system uses hot water cooling to achieve energy efficiency, the water being used to heat buildings as well. The energy efficiency of computer systems is generally measured in terms of " FLOPS per watt ". In 2008, Roadrunner by IBM operated at 376  MFLOPS/W . In November 2010,

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1474-760: The Blue Gene/Q reached 1,684 MFLOPS/W and in June 2011 the top two spots on the Green 500 list were occupied by Blue Gene machines in New York (one achieving 2097 MFLOPS/W) with the DEGIMA cluster in Nagasaki placing third with 1375 MFLOPS/W. Because copper wires can transfer energy into a supercomputer with much higher power densities than forced air or circulating refrigerants can remove waste heat ,

1541-613: The DES cipher . Throughout the decades, the management of heat density has remained a key issue for most centralized supercomputers. The large amount of heat generated by a system may also have other effects, e.g. reducing the lifetime of other system components. There have been diverse approaches to heat management, from pumping Fluorinert through the system, to a hybrid liquid-air cooling system or air cooling with normal air conditioning temperatures. A typical supercomputer consumes large amounts of electrical power, almost all of which

1608-622: The English Electric DEUCE drum and the UNIVAC FASTRAND had multiple heads moving a short distance on the drum in contrast to modern HDDs, which have one head per platter surface. In November 1953 Hagen published a paper disclosing "air floating" of magnetic heads in an experimental sheet metal drum. A US patent filed in January 1954 by Baumeister of IBM disclosed a "spring loaded and air supported shoe for poising

1675-465: The Goodyear MPP . But by the mid-1990s, general-purpose CPU performance had improved so much in that a supercomputer could be built using them as the individual processing units, instead of using custom chips. By the turn of the 21st century, designs featuring tens of thousands of commodity CPUs were the norm, with later machines adding graphic units to the mix. In 1998, David Bader developed

1742-541: The IBM 650 (1954), initially had up to 2,000 10-digit words, about 17.5 kilobytes , of drum memory (later doubled to 4,000 words, about 35 kilobytes, in the Model 4). In BSD Unix and its descendants, /dev/drum was the name of the default virtual memory (swap) device, deriving from the historical use of drum secondary-storage devices as backup storage for pages in virtual memory . Magnetic drum memory units were used in

1809-767: The University of Manchester . An ERA drum was the internal memory for the ATLAS-I computer delivered to the U.S. Navy in October 1950 and later sold commercially as the ERA 1101 and UNIVAC 1101 . Through mergers , ERA became a division of UNIVAC shipping the Series 1100 drum as a part of the UNIVAC File Computer in 1956; each drum stored 180,000 6-bit characters (135 kilobytes). The first mass-produced computer,

1876-626: The grid computing approach, the processing power of many computers, organized as distributed, diverse administrative domains, is opportunistically used whenever a computer is available. In another approach, many processors are used in proximity to each other, e.g. in a computer cluster . In such a centralized massively parallel system the speed and flexibility of the interconnect becomes very important and modern supercomputers have used various approaches ranging from enhanced Infiniband systems to three-dimensional torus interconnects . The use of multi-core processors combined with centralization

1943-519: The thermal design power of the supercomputer as a whole, the amount that the power and cooling infrastructure can handle, is somewhat more than the expected normal power consumption, but less than the theoretical peak power consumption of the electronic hardware. Since the end of the 20th century, supercomputer operating systems have undergone major transformations, based on the changes in supercomputer architecture . While early operating systems were custom tailored to each supercomputer to gain speed,

2010-473: The 1950s and into the 1960s as computer memory . Many early computers, called drum computers or drum machines, used drum memory as the main working memory of the computer. Some drums were also used as secondary storage as for example various IBM drum storage drives and the UNIVAC FASTRAND series of drums. Drums were displaced as primary computer memory by magnetic core memory , which offered

2077-445: The 80 MHz Cray-1 in 1976, which became one of the most successful supercomputers in history. The Cray-2 was released in 1985. It had eight central processing units (CPUs), liquid cooling and the electronics coolant liquid Fluorinert was pumped through the supercomputer architecture . It reached 1.9  gigaFLOPS , making it the first supercomputer to break the gigaflop barrier. The only computer to seriously challenge

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2144-520: The Cray-1's performance in the 1970s was the ILLIAC IV . This machine was the first realized example of a true massively parallel computer, in which many processors worked together to solve different parts of a single larger problem. In contrast with the vector systems, which were designed to run a single stream of data as quickly as possible, in this concept, the computer instead feeds separate parts of

2211-520: The Cray. Another problem was that writing software for the system was difficult, and getting peak performance from it was a matter of serious effort. But the partial success of the ILLIAC IV was widely seen as pointing the way to the future of supercomputing. Cray argued against this, famously quipping that "If you were plowing a field, which would you rather use? Two strong oxen or 1024 chickens?" But by

2278-650: The National Computational Science Alliance (NCSA) to ensure interoperability, as none of it had been run on Linux previously. Using the successful prototype design, he led the development of "RoadRunner," the first Linux supercomputer for open use by the national science and engineering community via the National Science Foundation's National Technology Grid. RoadRunner was put into production use in April 1999. At

2345-454: The ability of the cooling systems to remove waste heat is a limiting factor. As of 2015 , many existing supercomputers have more infrastructure capacity than the actual peak demand of the machine – designers generally conservatively design the power and cooling infrastructure to handle more than the theoretical peak electrical power consumed by the supercomputer. Designs for future supercomputers are power-limited –

2412-546: The achievable throughput, derived from the LINPACK benchmarks and shown as "Rmax" in the TOP500 list. The LINPACK benchmark typically performs LU decomposition of a large matrix. The LINPACK performance gives some indication of performance for some real-world problems, but does not necessarily match the processing requirements of many other supercomputer workloads, which for example may require more memory bandwidth, or may require better integer computing performance, or may need

2479-404: The assembler, e.g., Symbolic Optimal Assembly Program (SOAP)—positioned code on the drum in such a way as to reduce the amount of time needed for the next instruction to rotate into place under the head. They did this by timing how long it would take after loading an instruction for the computer to be ready to read the next one, then placing that instruction on the drum so that it would arrive under

2546-424: The attention of high-performance computing (HPC) users and developers in recent years. Cloud computing attempts to provide HPC-as-a-service exactly like other forms of services available in the cloud such as software as a service , platform as a service , and infrastructure as a service . HPC users may benefit from the cloud in different angles such as scalability, resources being on-demand, fast, and inexpensive. On

2613-505: The availability and reliability of individual systems within the supercomputing network. However, quasi-opportunistic distributed execution of demanding parallel computing software in grids should be achieved through the implementation of grid-wise allocation agreements, co-allocation subsystems, communication topology-aware allocation mechanisms, fault tolerant message passing libraries and data pre-conditioning. Cloud computing with its recent and rapid expansions and development have grabbed

2680-419: The data to entirely different processors and then recombines the results. The ILLIAC's design was finalized in 1966 with 256 processors and offer speed up to 1 GFLOPS, compared to the 1970s Cray-1's peak of 250 MFLOPS. However, development problems led to only 64 processors being built, and the system could never operate more quickly than about 200 MFLOPS while being much larger and more complex than

2747-430: The decade, increasing amounts of parallelism were added, with one to four processors being typical. In the 1970s, vector processors operating on large arrays of data came to dominate. A notable example is the highly successful Cray-1 of 1976. Vector computers remained the dominant design into the 1990s. From then until today, massively parallel supercomputers with tens of thousands of off-the-shelf processors became

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2814-643: The early 1980s, several teams were working on parallel designs with thousands of processors, notably the Connection Machine (CM) that developed from research at MIT . The CM-1 used as many as 65,536 simplified custom microprocessors connected together in a network to share data. Several updated versions followed; the CM-5 supercomputer is a massively parallel processing computer capable of many billions of arithmetic operations per second. In 1982, Osaka University 's LINKS-1 Computer Graphics System used

2881-552: The early moments of the universe, airplane and spacecraft aerodynamics , the detonation of nuclear weapons , and nuclear fusion ). They have been essential in the field of cryptanalysis . Supercomputers were introduced in the 1960s, and for several decades the fastest was made by Seymour Cray at Control Data Corporation (CDC), Cray Research and subsequent companies bearing his name or monogram. The first such machines were highly tuned conventional designs that ran more quickly than their more general-purpose contemporaries. Through

2948-408: The fact that the differences in hardware architectures require changes to optimize the operating system to each hardware design. The parallel architectures of supercomputers often dictate the use of special programming techniques to exploit their speed. Software tools for distributed processing include standard APIs such as MPI and PVM , VTL , and open source software such as Beowulf . In

3015-410: The field of computational science , and are used for a wide range of computationally intensive tasks in various fields, including quantum mechanics , weather forecasting , climate research , oil and gas exploration , molecular modeling (computing the structures and properties of chemical compounds, biological macromolecules , polymers, and crystals), and physical simulations (such as simulations of

3082-569: The first Linux supercomputer using commodity parts. While at the University of New Mexico, Bader sought to build a supercomputer running Linux using consumer off-the-shelf parts and a high-speed low-latency interconnection network. The prototype utilized an Alta Technologies "AltaCluster" of eight dual, 333 MHz, Intel Pentium II computers running a modified Linux kernel. Bader ported a significant amount of software to provide Linux support for necessary components as well as code from members of

3149-486: The first supercomputers was the IBM 7030 Stretch . The IBM 7030 was built by IBM for the Los Alamos National Laboratory , which then in 1955 had requested a computer 100 times faster than any existing computer. The IBM 7030 used transistors , magnetic core memory, pipelined instructions, prefetched data through a memory controller and included pioneering random access disk drives. The IBM 7030

3216-508: The information. The outer surface of the drum was lined with electrical contacts leading to capacitors contained within. Magnetic drums were developed for the U.S. Navy by Engineering Research Associates (ERA) in 1946 and 1947. An experimental ERA study was completed and reported to the Navy on June 19, 1947. Other early drum storage device development occurred at Birkbeck College ( University of London ), Harvard University , IBM and

3283-560: The most common scenario, environments such as PVM and MPI for loosely connected clusters and OpenMP for tightly coordinated shared memory machines are used. Significant effort is required to optimize an algorithm for the interconnect characteristics of the machine it will be run on; the aim is to prevent any of the CPUs from wasting time waiting on data from other nodes. GPGPUs have hundreds of processor cores and are programmed using programming models such as CUDA or OpenCL . Moreover, it

3350-441: The norm. The US has long been the leader in the supercomputer field, first through Cray's almost uninterrupted dominance of the field, and later through a variety of technology companies. Japan made major strides in the field in the 1980s and 90s, with China becoming increasingly active in the field. As of November 2024 , Lawrence Livermore National Laboratory's El Capitan is the world's fastest supercomputer. The US has five of

3417-612: The other hand, moving HPC applications have a set of challenges too. Good examples of such challenges are virtualization overhead in the cloud, multi-tenancy of resources, and network latency issues. Much research is currently being done to overcome these challenges and make HPC in the cloud a more realistic possibility. In 2016, Penguin Computing, Parallel Works, R-HPC, Amazon Web Services , Univa , Silicon Graphics International , Rescale , Sabalcore, and Gomput started to offer HPC cloud computing . The Penguin On Demand (POD) cloud

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3484-457: The overall applicability of GPGPUs in general-purpose high-performance computing applications has been the subject of debate, in that while a GPGPU may be tuned to score well on specific benchmarks, its overall applicability to everyday algorithms may be limited unless significant effort is spent to tune the application to it. However, GPUs are gaining ground, and in 2012 the Jaguar supercomputer

3551-511: The overall performance of a computer system, yet the goal of the Linpack benchmark is to approximate how fast the computer solves numerical problems and it is widely used in the industry. The FLOPS measurement is either quoted based on the theoretical floating point performance of a processor (derived from manufacturer's processor specifications and shown as "Rpeak" in the TOP500 lists), which is generally unachievable when running real workloads, or

3618-541: The overheating problem was solved by introducing refrigeration to the supercomputer design. Thus, the CDC6600 became the fastest computer in the world. Given that the 6600 outperformed all the other contemporary computers by about 10 times, it was dubbed a supercomputer and defined the supercomputing market, when one hundred computers were sold at $ 8 million each. Cray left CDC in 1972 to form his own company, Cray Research . Four years after leaving CDC, Cray delivered

3685-450: The precursor to the hard disk drive (HDD), but in the form of a drum (cylinder) rather than a flat disk. In most designs, one or more rows of fixed read-write heads ran along the long axis of the drum, one for each track. The drum's controller simply selected the proper head and waited for the data to appear under it as the drum turned ( rotational latency ). Not all drum units were designed with each track having its own head. Some, such as

3752-605: The shorthand TFLOPS (10 FLOPS, pronounced teraflops ), or peta- , combined into the shorthand PFLOPS (10 FLOPS, pronounced petaflops .) Petascale supercomputers can process one quadrillion (10 ) (1000 trillion) FLOPS. Exascale is computing performance in the exaFLOPS (EFLOPS) range. An EFLOPS is one quintillion (10 ) FLOPS (one million TFLOPS). However, The performance of a supercomputer can be severely impacted by fluctuation brought on by elements like system load, network traffic, and concurrent processes, as mentioned by Brehm and Bruhwiler (2015). No single number can reflect

3819-439: The supercomputer at any one time. Atlas was a joint venture between Ferranti and Manchester University and was designed to operate at processing speeds approaching one microsecond per instruction, about one million instructions per second. The CDC 6600 , designed by Seymour Cray , was finished in 1964 and marked the transition from germanium to silicon transistors. Silicon transistors could run more quickly and

3886-444: The time of its deployment, it was considered one of the 100 fastest supercomputers in the world. Though Linux-based clusters using consumer-grade parts, such as Beowulf , existed prior to the development of Bader's prototype and RoadRunner, they lacked the scalability, bandwidth, and parallel computing capabilities to be considered "true" supercomputers. Systems with a massive number of processors generally take one of two paths. In

3953-605: The top 10; Japan, Finland, Switzerland, Italy and Spain have one each. In June 2018, all combined supercomputers on the TOP500 list broke the 1 exaFLOPS mark. In 1960, UNIVAC built the Livermore Atomic Research Computer (LARC), today considered among the first supercomputers, for the US Navy Research and Development Center. It still used high-speed drum memory , rather than the newly emerging disk drive technology. Also, among

4020-577: The top of the TOP500 list since June 1993, and the "Peak speed" is given as the "Rmax" rating. In 2018, Lenovo became the world's largest provider for the TOP500 supercomputers with 117 units produced. Rpeak country system 1,685.65 (9,248 × 64-core Optimized 3rd Generation EPYC 64C @2.0 GHz) Drum memory Drum memory was a magnetic data storage device invented by Gustav Tauschek in 1932 in Austria . Drums were widely used in

4087-406: The top spot in 1994 with a peak speed of 1.7  gigaFLOPS (GFLOPS) per processor. The Hitachi SR2201 obtained a peak performance of 600 GFLOPS in 1996 by using 2048 processors connected via a fast three-dimensional crossbar network. The Intel Paragon could have 1000 to 4000 Intel i860 processors in various configurations and was ranked the fastest in the world in 1993. The Paragon

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4154-422: The trend has been to move away from in-house operating systems to the adaptation of generic software such as Linux . Since modern massively parallel supercomputers typically separate computations from other services by using multiple types of nodes , they usually run different operating systems on different nodes, e.g. using a small and efficient lightweight kernel such as CNK or CNL on compute nodes, but

4221-511: Was liquid cooled , and used a Fluorinert "cooling waterfall" which was forced through the modules under pressure. However, the submerged liquid cooling approach was not practical for the multi-cabinet systems based on off-the-shelf processors, and in System X a special cooling system that combined air conditioning with liquid cooling was developed in conjunction with the Liebert company . In

4288-624: Was a MIMD machine which connected processors via a high speed two-dimensional mesh, allowing processes to execute on separate nodes, communicating via the Message Passing Interface . Software development remained a problem, but the CM series sparked off considerable research into this issue. Similar designs using custom hardware were made by many companies, including the Evans & Sutherland ES-1 , MasPar , nCUBE , Intel iPSC and

4355-488: Was actually logical cylinder and track. The performance of a drum with one head per track is comparable to that of a disk with one head per track and is determined almost entirely by the rotational latency, whereas in an HDD with moving heads its performance includes a rotational latency delay plus the time to position the head over the desired track ( seek time ). In the era when drums were used as main working memory, programmers often did optimum programming —the programmer—or

4422-626: Was completed in 1961 and despite not meeting the challenge of a hundredfold increase in performance, it was purchased by the Los Alamos National Laboratory. Customers in England and France also bought the computer, and it became the basis for the IBM 7950 Harvest , a supercomputer built for cryptanalysis . The third pioneering supercomputer project in the early 1960s was the Atlas at the University of Manchester , built by

4489-771: Was transformed into Titan by retrofitting CPUs with GPUs. High-performance computers have an expected life cycle of about three years before requiring an upgrade. The Gyoukou supercomputer is unique in that it uses both a massively parallel design and liquid immersion cooling . A number of special-purpose systems have been designed, dedicated to a single problem. This allows the use of specially programmed FPGA chips or even custom ASICs , allowing better price/performance ratios by sacrificing generality. Examples of special-purpose supercomputers include Belle , Deep Blue , and Hydra for playing chess , Gravity Pipe for astrophysics, MDGRAPE-3 for protein structure prediction and molecular dynamics, and Deep Crack for breaking

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