Numerical Analysis
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Nash and Nirenberg are two mathematical giants of the twentieth century. They are being recognized for their contributions to the field of partial differential equations (PDEs), which are equations involving rates of change that originally arose to descri

Two Mathematical Giants Share 2015 Abel Prize

March 26, 2015 9:03 am | by The Norwegian Academy of Science and Letters | News | Comments

The Norwegian Academy of Sciences and Letters has decided to award the Abel Prize for 2015 to the American mathematicians John F. Nash Jr. and Louis Nirenberg “for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.” They will receive the Abel Prize from His Majesty King Harald on May 19, 2015. The Abel Prize carries a cash award of about 1 million USD.

Satellite Mission Puts Einstein to the Test

March 5, 2015 12:24 pm | by Heidelberg University | News | Comments

Researchers have gained new insights into dark energy and the theory of gravitation by analyzing...

Data Analysis Proves Existence of Röstigraben

November 19, 2014 4:16 am | by Joël Burri, Mediacom | News | Comments

Are the political parties really all that different from one another? Can politicians rig the...

Ride-Sharing Could Cut Cabs' Road Time by 30%

September 4, 2014 9:44 am | by Larry Hardesty, MIT | News | Comments

What if the taxi-service app on your cellphone had a button on it that let you indicate that you...

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Eugenia Cheng, visiting senior lecturer in mathematics and a concert pianist, specializes in category theory, which she characterizes as 'the mathematics of mathematics.' Courtesy of Robert Kozloff

Power of Mathematics Opens New Possibilities in Music

August 27, 2014 3:34 pm | by Steve Koppes, University of Chicago | News | Comments

Anthony Cheung’s formal mathematical training essentially ended with high school calculus. But as a musician and composer, he has explored mathematical phenomena in new ways, especially through their influence on harmony and timbre. “Through technology and thinking about acoustics, we can change sounds on the computer in innumerable ways,” says Cheung, whose musical composition earned him a 2012 Rome Prize from the American Academy in Rome.

Algorithm lets independent agents collectively produce a machine-learning model without aggregating data.

Robots Collaborate Independently

June 26, 2014 11:05 am | by Larry Hardesty, MIT | News | Comments

Machine learning, in which computers learn new skills by looking for patterns in training data, is the basis of most recent advances in artificial intelligence, from voice-recognition systems to self-parking cars. It’s also the technique that autonomous robots typically use to build models of their environments. That type of model-building gets complicated, however, in cases in which clusters of robots work as teams.

Physicists are using equations to reveal the hidden complexities of the human body.

Equations Reveal Nature's Rebellious Rhythms

June 23, 2014 11:54 am | by Lancaster University | News | Comments

Physicists are using equations to reveal the hidden complexities of the human body. From the beating of our hearts to the proper functioning of our brains, many systems in nature depend on collections of "oscillators"; perfectly-coordinated, rhythmic systems working together in flux, like the cardiac muscle cells in the heart.

Manipulating minute areas of gain and loss within individual lasers (shown as peaks and valleys in the image), researchers were able to create paradoxical interactions between two nearby lasers. Courtesy of Vienna University of Technology

Mathematical Anomalies: Strange Physics Turns off Laser

June 18, 2014 12:53 pm | by Princeton University, Engineering School | News | Comments

Inspired by anomalies that arise in certain mathematical equations, researchers have demonstrated a laser system that paradoxically turns off when more power is added rather than becoming continuously brighter. The finding could lead to new ways to manipulate the interaction of electronics and light, an important tool in modern communications networks and high-speed information processing.

Before-and-after stills from the video "An End-to-End Approach to Making Self-Folded 3D Surface Shapes by Uniform Heating." The left image shows the self-folding sheet for a humanoid shape, while the right image shows the completed self-folded humanoid sh

Bake your own Robot: New Algorithms could enable Printable Robots that Self-assemble when Heated

June 17, 2014 2:24 pm | by Larry Hardesty, MIT | News | Comments

Printable robots — those that can be assembled from parts produced by 3-D printers — have long been a topic of research in the lab of Daniela Rus, the Andrew and Erna Viterbi Professor of Electrical Engineering and Computer Science at MIT. At this year’s IEEE International Conference on Robotics and Automation, Rus’ group and its collaborators introduce a new wrinkle on the idea: bakable robots.

On the eve of the 2014 FIFA World Cup, researchers investigated the productivity of top goal scorers.

FIFA World Cup 2014: Which players have the best chance at goal scoring?

June 12, 2014 9:33 am | by RMIT University | News | Comments

On the eve of the 2014 FIFA World Cup, researchers investigated the productivity of top goal scorers in international football. The RMIT University team applied advanced econometric techniques to a sample of 66 top goal scorers in the Union of European Football Associations (UEFA) Champions League between 1991 and 2011.

MATLAB Distributed Computing Server runs on POD’s high performance compute servers, providing access to multiple workers that can run computationally intensive MATLAB programs and Simulink models.

Penguin Announces MATLAB Distributed Computing Server Availability on HPC Cloud Service

May 8, 2014 2:35 pm | by Penguin Computing | News | Comments

Penguin Computing, experts in high performance, enterprise and cloud computing solutions, has announced the immediate availability of MATLAB Distributed Computing Server on its HPC Cloud, POD. This solution combines POD’s ease-of-use and high performance computing capabilities in the cloud with MATLAB scale-up capability to solve more demanding and complex problems.

Jack Collins, Director of the Advanced Biomedical Computing Center, Frederick National Laboratory for Cancer Research

Jack Collins

April 23, 2014 3:12 pm | Biographies

Dr. Collins is the director of the Advanced Biomedical Computing Center at the Frederick National Laboratory for Cancer Research. Dr. Collins’ research focuses on biomedical computing applications pertaining to cancer. His research group develops and applies high-performance algorithms to solve data-intensive computational biology problems in the areas of genomic analysis, pattern recognition in proteomics and imaging, molecular modeling, and systems biology.

Chris Catherasoo Export Compliance Technical Specialist California Institute of Technology

Chris Catherasoo

April 23, 2014 3:01 pm | Biographies

Chris Catherasoo has broad expertise in state-of-the-art supercomputers, high-end visualization systems, high-performance storage and networking, including hardware, software, scheduling and operations. Technical expertise in numerical methods and algorithm development, and in software design and development, including programming (Fortran and C), code testing and validation, configuration control and documentation.

Oleksiy Koshulko, Senior Research Associate, Glushkov Institute of Cybernetics NAS

Dr. Oleksiy Koshulko

April 17, 2014 8:41 am | Biographies

Dr. Koshulko is a senior research associate at Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine. He holds a Ph.D. in mathematical modeling and numerical methods. His professional interests include parallel processing, machine learning, time series analysis and forecasting. Dr. Koshulko serves as program committee member of several international HPC conferences and is a chair of the HPC-UA conference in Kyiv.

Let There be Light: Simulations Re-create X-rays Emerging from the Neighborhood of Black Holes

February 18, 2014 4:33 pm | by Aaron Dubrow, NSF | News | Comments

Black holes may be dark, but the areas around them definitely are not. These dense, spinning behemoths twist up gas and matter just outside their event horizon, and generate heat and energy that gets radiated, in part, as light. And when black holes merge, they produce a bright intergalactic burst that may act as a beacon for their collision.

No Room for Wrong Notes: Software IDs Manipulated Recordings

February 3, 2014 3:30 am | by Fraunhofer | News | Comments

Each audio file has its own history. Editing processes such as cutting and compressing leave their own marks, and this is what researchers use to detect manipulated recordings or plagiarized passages of music with the help of special software.

New Algorithm Separates Signals into Individual Frequencies using Minimal Number of Samples

December 11, 2013 10:43 am | by Helen Knight, MIT | News | Comments

The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing. The algorithm allowed computers to quickly perform Fourier transforms — fundamental operations that separate signals into their individual frequencies — leading to developments in audio and video engineering and digital data compression.


Matrices Have Broad Ramifications in Computer Science

December 9, 2013 4:38 pm | by Larry Hardesty, MIT | News | Comments

Among the most common tools in electrical engineering and computer science are rectangular grids of numbers known as matrices. The numbers in a matrix can represent data, and they can also represent mathematical equations.         

Dongarra to Receive Ken Kennedy Award for Software Technologies that Power Supercomputers

October 10, 2013 9:13 am | by Association for Computing Machinery | News | Comments

Jack Dongarra of the University of Tennessee will receive the ACM-IEEE Computer Society Ken Kennedy Award for his leadership in designing and promoting standards for mathematical software used to solve numerical problems common to high performance computing (HPC). His work has led to the development of major software libraries of algorithms and methods that boost performance and portability in HPC environments

Applying the Magic of Mathematics to Solve Supercomputing Problems

September 20, 2013 9:03 am | by Lawrence Berkeley National Laboratory | News | Comments

David Brown has been the director of the Computational Research Division at Berkeley Lab since August 2011. An applied mathematician by training, his research expertise and interests lie in the development and analysis of algorithms for the solution of PDEs. His research has focused on adaptive composite overlapping grid techniques for solving PDEs in complex moving geometries and in the analysis of difference approximations for PDEs.

Simpleware 6.0

July 29, 2013 2:16 pm | Simpleware, Ltd. | Product Releases | Comments

The Simpleware 6.0 image visualization, analysis and model generation software suite features a ribbon user interface and other features designed to accelerate the process of segmenting and meshing 3-D image data. These include boundary layers and mesh clipping for the creation of custom CFD inlets/outlets, as well as curved quadratic elements and a tet-to-hex converter.

Detached-Eddy Simulations on Double Delta Wing Vortical Flows

June 28, 2013 10:59 am | by Science China Press | News | Comments

The double delta wing is a simplified configuration used for studying aircraft aerodynamics. It is composed of a highly-swept delta wing connected in front of the main delta wing with a smaller sweep, reflecting the combination of a leading edge extension and the swept main wing. The aerodynamic performance of such wings, which includes the behavior of the leeside vortical flows at moderate and...

New Scheme for Quantum Computing

June 25, 2013 10:50 pm | by University of California, San Diego | News | Comments

Tom Wong, a graduate student in physics and David Meyer, professor of mathematics at the University of California, San Diego, have proposed a new algorithm for quantum computing, that will speed a particular type of problem. But swifter calculations would come at the cost of greater physical resources devoted to precise timekeeping, their analysis has determined.

Giant Planets help Speed Research on Material Surfaces

June 5, 2013 7:13 am | by Institute of Physical Chemistry of the Polish Academy of Sciences | News | Comments

New, fast and accurate algorithm from the Institute of Physical Chemistry of the Polish Academy of Sciences in Warsaw, based on the mathematical formalism used to model processes accompanying interaction of light with gas planet atmospheres, is a major step towards better understanding of physical and chemical properties of materials’ surfaces studied under laboratory conditions.

Can Math Models of Gaming Strategies Be Used to Detect Terrorism Networks?

May 16, 2013 3:55 pm | by Society for Industrial and Applied Mathematics | News | Comments

Philadelphia, PA— The answer is yes, according to a paper in the SIAM Journal on Discrete Mathematics. In a paper published in the journal last month, authors Anthony Bonato, Dieter Mitsche, and Pawel Pralat describe a mathematical model to disrupt flow of information in a complex real-world network, such as a terrorist organization, using minimal resources.

New Algorithm Cluster Improves Health Record Data Mining

May 14, 2013 9:18 pm | by New Jersey Institute of Technology | News | Comments

The time may be fast approaching for researchers to take better advantage of the vast amount of valuable patient information available from U.S. electronic health records. Lian Duan, an NJIT computer scientist with an expertise in data mining, has done just that with the recent publication of "Adverse Drug Effect Detection," IEEE Journal of Biomedical and Health Informatics (March, 2013).

Continuous Casting Consortium, University of Illinois

HPC Innovation Excellence Award: Continuous Casting Consortium, University of Illinois

November 18, 2011 10:01 am | Award Winners

Helped by HPC resources at the National Center for Supercomputing Applications, the Continuous Casting Consortium at the University of Illinois has developed comprehensive numerical models of the continuous casting of steel, including several ground-breaking numerical methods, to solve practical problems of interest to the steel industry.

Computer Scientists find Captcha Security Flaw

June 2, 2011 11:30 am | by Melissae Fellet | News | Comments

If you've ever registered for online access to a website, it's likely you were required as part of the process to correctly read a group of distorted letters and numbers on the screen. But there's a second type of captcha, and it may pose more of a security weakness

Simple Arithmetic Allows Faster, More Secure, Web Sites

May 11, 2011 7:22 am | News | Comments

Faster, more secure logins for multimedia sites might be possible thanks to a new approach to Website and database security. Boolean logins would allow thousands if not millions of users to more quickly access the content to which they are entitled, such as music, video and images

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