News Archives

News Archives

New Machine learning system identifies shapes of red blood cells

Scientists have developed a new system to classify the shapes of red blood cells by using a computational approach known as deep learning.  This unique approach can potentially help doctors treat their patients with sickle cell disease.  The findings were published in PLOS Computational Biology.  (Read more.) Visual Credit:  Xu et al.

Professor George Karniadakis has coauthored a new book with Zhongqiang Zhang entitled, "Numerical Methods for Stochastic Partial Differential Equations with White Noise."

Will Pazner, Applied Mathematics graduate student, Wins first-place in AIAA Avaition Form's Student Paper Competition

In his award winning paper, Pazner reveals a new approach for solving challenging problems in computational mechanics.  (Read full story.)

Brown University Data Science Initiative Announces a new Master's Program

The DSI is happy to announce the creation of a new Master's program that will draw on Brown’s strengths in Data Science and offer students from a wide range of disciplinary backgrounds a rigorous, distinctive, and attractive education for building a career in Data Science and/or Big Data management.  For more information about the Data Science Master’s program, including course structure, information on how to apply, and a FAQ, please click here.

Collaborative Research in Computational Neuroscience 

The Collaborative Research in Computational Neuroscience (CRCNS) PI Meeting will be held June 14 - 16 in Providence, Rhode Island.  The meeting's purpose is to gather together those principal investigatoars  whose grants are funded by the CRCNS program to discuss their research.   (Read more.)

Professor Bjorn Sandstede receives Graduate School Faculty Award

Professor Sandstede was nominated by his graduate students and postdocs to receive the 2016-2017 Graduate School Faculty Award for Advising and Mentoring which was conferried to him on May 1st during the award's ceremony.  (Read full story.)

Super-cavitating hydrofoils are deployed during take off ensuring the development of a lift force balancing the vessel’s weight.

Powerful mathematical tools take the guesswork out of highly complex designs 

Researchers from Brown University, led by Professor George Karniadakis, have joined forces with other leading institutions to develop powerful mathematical tools which simplify and reduce the myriad of ambiguities and variables involved in the design of highly complex military vessels. (Read more.)

Caroline Klivans challenges advisor's postulation

Caroline Klivans, senior lecturer in the Division of Applied Mathematics, has accomplished something very rare: She challenged her doctorate advisor's postulation of the Partitionability Conjecture, and succeeded! Professor Richard Stanley was Klivan's doctorate advisor at MIT, and recently she published a paper disproving this conjecture. (Read full story.)   

Constantine Dafermos receives a Distinguished Research Achievement Award 

On April 19, 2017, Brown University's Provost presented a Distinguished  Research Achievement Award to Constantine Dafermos, Alumni/Alumnae University Professor of Applied Mathematics.  His seminal work in nonlinear systems and hyperbolic conservation laws have made Professor Dafermos the recipient of the most prestigious awards that the scientific community has to offer including election to the National Academy of Sciences and the Norbert Weiner Prize.  (Read full story.)

Alexandria Volkening will speak at the Graduate School's master's and doctoral graduation ceremonies.

Alexandria Volkening received her Ph.D. in Applied Mathematics this May, and she will deliver a special address at this year's doctoral ceremonies.  Alexandria studies pattern formation and self-organization in nature, and has worked closely with her advisor Professor Bjorn Sandstede.  (Read full story.)

International Contest for Modeling.  For the second year in a row, Brown undergraduate students win the Outstanding Winner award at the International Contest for Modeling! The team of Daniel Kunin, Dan Xiang and Sovijja Pou chose to model the problem of optimizing passenger movement through airport security. They were one of only 5 teams to receive this award out of 3664 teams that chose to tackle this problem. Daniel and Dan were part of a team that won the Brown Mathematical Contest for Modeling in November, which was organized by the Brown SIAM Chapter and sponsored by the Division of Applied Math.

Computer Models developed by Brown reserachers reveal an essential function of the spleen.  A new paper published in the Proceedings of the National Academy of Sciences reveals striking evidence that the spleen has a major role in determining the size of red blood cells, ensuring that they are able to pass safely through even the smallest of capillaries in the body.  

Nicolas Garcia Trillos receives the  Francisco Aranda Ordaz Award for his thesis entitled, "Variational limit of graph cuts on point clouds."  The Latin American Congress of Probability and Mathematical Statistics grants this special award to honor the memory of Francisco Aranda-Ordaz, who was a distinguished young Mexican statistician who died tragically in 1991.  (Read full story.)

David Lipshutz and Pooja Agarwal win Best Poster Awards  at the biennial Stochastic Networks Conference at the University of California, San Diego.  Agarwal's research focused on identifying future research directions in stochastic network models and Lipshutz' research focused on understanding the effects of small changes to parameters that describe stochastic network models.


Brown University launched a new Data Science Initiative (DSI) that connects Applied Mathematics, Biostatistics, Computer Science, and Mathematics with domain disciplines to bolster research and education to meet the challenges of an increasingly data-driven world.  In addition, a new Master's Program will offer students a rigorous, distinctive and attractive education for buliding a career in Data Science.  (Read more.)
The Division of Applied Mathematics is pleased to announce that Yan Guo, Professor of Applied Mathematics, has been named a Fellow of the American Mathematical Society for contributions to the mathematical theory of fluids and plasma. Professor Guo received his Ph.D. in Mathematics from Brown in 1993, and in 1995 he joined the faculty in the Division of Applied Mathematics.
Yu-Hang Tang received an award for the best poster at the ICMMES Conference which took place this July in Hamburg, Germany.  One important area of Tang's research focuses on dissipative Particle Dynamics.  (Read more.)
Constantine Dafermos, Alumni/Alumnae University Professor of Applied Mathematics, has been elected into the National Academy of Sciences (NAS).  The NAS has recognized Professor Dafermos for his eminent contributions to the study of partial differential questions and continuum physics, and as one of the world's top experts in the theory of nonlinear conservation laws.  
Professor Björn Sandstede has received the 2016 Philip J. Bray Award for Excellence in Teaching in the Physical Sciences. The award was conferred at the University Awards Ceremony on May 4, 2016, and offered special recognition to Professor Sandstede's continued dedication to undergraduate instruction in applied mathematics.
A breakthrough for researchers from Brown University, ETH Zurich and the Swiss National Supercomputing Centre.  Researchers join forces to fight against tumor formation and sickle cell anemia. (Read full story.)

Brown Mathematical Contest for Modeling

Four Brown student teams participated in this year's Mathematical Contest for Modeling and the Interdisciplinary Contest for Modeling. In these competitions, teams of three undergraduates create, analyze and write reports on a mathematical model for an open-ended real world problem.  Read more.

Tasos Matzavinos is chosen for an NSF Career Award.  

He is one of five assistant professors at Brown University who have been chosen for an NSF Career Award.  The Career Award is given to help fund important and innovative research such as Professor Matzavinos' research which is focussed on the development of better computer models to track cancer cell proliferation.  (Read full story.)

Virginia-Eirini Kilikian is named Deans' Faculty Fellow.  

Seven doctoral students have been named a Deans' Faculty Fellow for outstanding teaching and scholarship.  The awardees are offered full fellowship support and are appointed Visiting Assistant Professors.  Virginia-Eirini Kilikian received this award for developing mathematical models of chemotaxis by motile bacteria. (Read more.)


Constantine M. Dafermos, an Alumni-Alumnae University Professor at Brown University, will receive the 2016 Norbert Wiener Prize in Applied Mathematics.  The prize recognizes Professor Dafermos' seminal contributions to the theory of nonlinear conservation laws, and particularly for his distinguished work in partial differential equations and continuum physics. (Read full story.) 

Ulf Grenander (L. Herbert Ballou University Professor Emeritus) passed away on May 12, 2016.  Professor Grenander received his PhD from Stockholm University in 1950. After holding positions at Stockholm University, the University of Chicago, and the University of California at Berkeley, he moved permanently to Brown in 1966 as the L. Herbert Ballou University Professor. He advised 22 PhD students and wrote 14 books and more than 100 papers. He received numerous awards and honors, including election to the American Academy of Arts & Sciences, The Royal Academy of Sciences of Sweden, and the U.S. National Academy of Sciences. (Read full story.)

The AWM will host a luncheon with special guest Dr. Nancy Rodriguez from UNC on Monday, February 1st. She will give us an informal talk about her life, career, and research. The talk will be held in Room 108 of 170 Hope Street and will begin at noon.  Dr. Rodriguez researches in the areas of dynamical systems, partial differential equations, and mathematical modeling, which she uses to study social riots, urban crime, and biological phenomena.

Alexandria Volkening, a doctoral student in the Division of Applied Mathematics, has developed a mathematical model which reveals the underlying biological system by which zebrafish grow their stripes.  (Read full story.)


Veronica Ciocanel and Eirini Killikian are the recipients of the 2015 Archambault Teaching Award, merited through their creative efforts in teaching a Brown Summer Session course entitled, “Applied Mathematics II (APMA 0340)."  (Read full story.)  

In 1965, Walter Freiberger of Brown University became the managing editor of the Quarterly of Applied Mathematics (QAM), the first applied mathematics journal to be established in the United States. In November of last year, Freiberger stopped by the AMS headquarters to check the proofs for the last issue of the Quarterly he would oversee.  (Read full story.)



A special event entitled, "Theory, Algorithms and Applications of Dissipative Particle Dynamics," took place on September 21 - 23, 2015 at Shanghai University.  This workshop focussed on the exciting field of mesoscopic science, a science which bridges the microscopic and the macroscopic worlds.

Efffective Mentoring

The Graduate School highlights how the role of a mentor can make all the difference in the life of a graduate student.  In the case of Guangyao Zhou, it is Professor Stuart Geman who has been that difference.

Dean's Faculty Fellowship

Two graduate students in the Division of Applied Mathematics, Nathaniel Trask and Elizabeth Makrides,  have been selected to receive the Dean's Faculty Fellowship for their outstanding performance both in scholarship and  teaching.  

George Karniadakis receives the 2015 Ralph E. Kleinman Prize

George Em Karniadakis, Professor of Applied Mathematics at Brown University has been chosen as this year's recipient of the Ralph E. Kleinman Prize, for his contributions to computational fluid dynamics, spectral methods and stochastic modeling.

George Karniadakis receives the Weiderhielm Award

George Karniadakis is the 2015 recipient of the Weiderhielm Award, merited by his article entitled,  "Blood Flow and Cell-Free Layer in Microvessels." 

Professor Stuart Geman develops "Visual Turing Test"

Stu Geman teams up with collaborators from John's Hopkins to discover how computers are able to divine information from visual images.

Jack K. Hale Award 

Professor Bjorn Sandstede, Chair of the Division of Applied Mathematics at Brown University, is the first recipient of the Jack K. Hale Award.  

Topping off Ceremony

The Brown Community joined together with local officials to celebrate the "topping off" of the new Applied Mathematics building which is currently under construction near the Division of Applied Mathematics on George Street.  The building's construction will culminate in a 13,000 square foot building in 2016.   

RTG Workshop entitled, "Integrating Stochastics and Dynamics" for prospective graduate students, will be held on November 22, 2013



Professor Jan Hesthaven has been appointed one of three senior Co-PI's in charge a U.S. Department of Energy grant totaling $12.5 million to study turbulence and transports in the edge of a fusion reactor. This five year project is called the Center for Edge Physics Simulation (EPSI) and is part of the program entitled, Scientific Discovery through Advanced Computing (SciDAC).

Mark Ainsworth has been selected as a Fellow of the Society for Industrial and Applied Mathematics (SIAM).  Professor Ainsworth joined the Brown faculty in 2012, and studies simulation, specifically how to interpret simulation results and quantify the margins of error inherent in them.

 

Matthew Harrison has been selected by the Dean of th Faculty to receive the 2014 Philip J. Bray Award for Excellence in Teaching in the Physical Sciences.  Throughout the years since he first began teaching at Brown, Professor Harrison's students have praised his outstanding teaching and mentorship.  April 2014

Professor Walter Strauss, the L. Herbert Ballou Professor of Applied Mathematics and Mathematics  at Brown University, is among the 198 newly elected members to the American Academy of Arts and Science.  Professor Strauss shares this distinction with two other Brown Professors, David Cane and Rose McDermott.   Read full story.

Bjorn Sandstede has been named a SIAM Fellow, April 2013.  Professor Bjorn Stanstede, Chair of the Division of Applied Mathematics, in being recognized for his research in dynamical systems, has been appointed a fellow to the Society for Industrial and Applied Mathematics (SIAM).  Read full story. 

INTERNATIONAL SYMPOSIUM ON FRACTIONAL PDES:  THEORY, NUMERICS AND APPLICATIONS, 

JUNE 3 - 5, 2013, SALVE REGINA UNIVERSITY

Kavita Ramanan, professor at Brown University, has been named Fellow of the Institute of Mathematical Statistics, (IMS). Professor Ramanan received the award for her contributions to the theory of stochastic processes, especially to stochastic networks, fluid and diffusion approximations, Skorokhod maps and large deviations theory.

BROWN UNIVERSITY PDE WORKSHOP
MAY 11 - 12, 2013

Jeffrey Miller receives the 2012 Presidential Award for Excellence in Teaching from Dean Peter M. Weber of the Graduate School on May 7, 2012.  Jeffrey Miller is a fourth-year Ph.D. candidate in the Division of Applied Mathematics at Brown University.

Professor Emeritus Wendell Fleming and Professor Stuart Geman have been elected to the National Academy of Sciences.On May 1, 2012, the National Academy of Sciences announced the election of 84 new members and 21 foreign associates from 15 countries in recognition of their distinguished and continuing achievements in original research.

Research by engineers at Johns Hopkins University and mathematicians at Brown has led to a breakthrough revealing that higher order polyhedra can indeed fold up and assemble themselves.  David Gracias and Govind Menon, with support from the National Science Foundation, have developed self-assembling 3-D micro- and nanostructures that can be used in many applications, especially medicine. 

Brown University and the Insituto Nacional de Matemática Pura e Aplicada (IMPA), a leading mathematics research institute in Rio de Janeiro, Brazil, signed a memorandum of understanding Monday, March 26, 2012, to promote exchanges, conferences, and research collaborations. David Mumford, professor emeritus of applied mathematics gave a lecture at the IMPA to celebrate the new agreement.  Read full story.

Stuart Geman, James Manning Professor of Applied Mathematics has been elected to the National Academy of Sciences this past May 2011.  

Professor Emeritus David Mumford received the National Medal of Science from President Obama, at a White House ceremony on November 17, 2010. Read full story.  

Andrew Furnas, class of 2011, is awarded the Marshall Scholarship. Read full story.  

The Division of Applied Mathematics announces the appointment of Toan Nguyen as Prager Assistant Professor
 Toan Nguyen's research focuses on the mathematical analysis of nonlinear partial differential equations, especially with physical applications.  He has worked on asymptotic stability of viscous (regularized) shocks and boundary layers arising in compressible gas dynamics, and in systems of conservation laws.  He is also interested in rigorous justification of the boundary layer theory in fluid mechanics, and well-posedness issues for the nonlinear hyperbolic Cauchy problem.  Dr. Nguyen obtained his doctorate in Mathematics from Indiana University in 2009, under the direction of Professor Kevin Zumbrun.  He comes to us from the Institut de Mathematiques de Jussie. Paris VI, where he recently completed postdoctoral studies.

Professors Paul Dupuis and George Karniadakis have been elected to the 2010 Class of Fellows of the Society for Industrial and Applied Mathematics (SIAM) for their distinguished contributions to the fields of stochastics and control, stochastic modeling, spectral elements, and fluid mechanics. This honorary distinction acknowledges outstanding accomplishments in applied mathematics and computational science.  Both professors will be honored during the 2010 SIAM Annual Meeting to be held in Pittsburgh this July. "We take great pride in the accomplishments of these 34 outstanding SIAM members.  Men and women from four continents and numerous disciplines, they exemplify SIAM's vision of the central role mathematics plays in the advancement of science and technology.  They have created mathematical models for complex phenomena ranging from combustion to swarming.  They have designed algorithms that enabled the restoration of old movies and the design of new aircraft. They have developed mathematical tools for optimizing manufacturing processes, tracking epidemics, and quantifying the uncertainty in both. Along the way, they have developed elegant mathematics which strengthens the foundations on which future work will rely." - SIAM President Douglas N. Arnold 

Professor Kavita Ramanan joins the faculty of Applied Mathematics, 2009.  Professor Ramanan received her Ph.D. in 1998, and her research deals with probability theory, stochastic processes and their applications. Her focus has been to develop basic mathematical tools for the study of stochastic processes that arise in applications, especially those modeling stochastic networks. In recognition of her fundamental work on reflected processes and large deviations, she was awarded the Erlang prize in 2006 for "outstanding contributions to applied probability" by the INFORMS Applied Probability Society. In addition, she has contributed to a number of other areas such as Gibbs measures, phase transitions and measure valued processes. She was also granted several patents for applied work that she carried out while at Bell Laboratories. 

Matthew Harrison joins the faculty of Applied Mathematics, 2009.  Dr. Harrison received his Ph.D. in 2005 from the Division of Applied Mathematics.  His dissertation advisor was Stuart Geman, and the title of his dissertation was "Discovering Composition Structures.  Before coming to Brown, Dr. Harrison was a visiting assistant professor in the Department of Statistics at Carnegie Mellon University.  His interests are very broad and range from Statistics (conditional inference, multiple hypothesis testing, sequential importance sampling) to Neuroscience (pattern detection in multi-neuronal spiking data, exploratory data analysis), Information Theory (rate distortion theory, model selection) and Computer Vision (structured statistical models, natural science statistics, perceptional organization).

Konstantinos Spiliopoulos joins the faculty as a Prager Assistant Professor of Applied Mathematics, 2009.   Dr. Spiliopoulos received his Ph.D. in Mathematical Statistics in May 2009 from the University of Maryland College Park.  His thesis, "Asymptotic Problems for Stochastic Processes with Reflection and Related PDE's" was completed under the supervision of Professor Mark Freidlin. Dr. Spiliopoulos researches the interface between stochastic processes and partial differential equations. His research has focused on asymptotic problems for stochastic processes and partial differential equations (PDE's), wave front propagation and probability theory. Other recent interests are related to the use of asymptotics for stochastic equations and PDE's in analyzing models coming from applied problems (e.g., physics, mathematical biology and mathematical finance), asymptotic problems for stochastic partial differential equations and in particular for stochastic reaction-diffusion equations and statistical inference for stochastic processes.

IN MEMORY OF DAVID GOTTLIEB.  On December 6, 2008, the worldwide community of computational mathematicians and scientists lost one of its most respected and original members when David Gottlieb, Ford Foundation Professor and Professor of Applied Mathematics at Brown University, passed away. He was 64. He is survived by his wife, Esty, their three children, Sigal, Zuki, and Adi, and four grandchildren. David was a central figure in the development of high-order and spectral methods for the solution of partial differential equations, with a particular interest in issues related to time-dependent problems and stability, compact finite difference methods, splitting methods, shock-capturing techniques, and absorbing boundary conditions. For full obituary please click here.

Donald McClure named Executive Director of the AMS, 2009.   Donald McClure, longtime professor in the Division of Applied Mathematics at Brown University, has been named executive director of the American Mathematical Society.  McClure succeeds John H. Ewing, who has held the post for the last 13 years. In naming McClure, the AMS cited his research accomplishments, experience in both business and academic administration, and extensive knowledge of issues facing the mathematics profession.  As executive director, McClure will oversee the AMS’s 210-person staff and the organization’s operations. He also will ensure that the Society maintains its strong position as a major publisher of mathematical books and journals, including Mathematical Reviews, and maintains its roles as organizer of numerous meetings and conferences each year and as a leading provider of professional services and electronic information in the mathematical sciences. . See full story.  

David Gottlieb to be The John von Neumann Lecturer, 2008. The Society for Industrial and Applied Mathematics (SIAM) will honor Professor David Gottlieb as The John von Neumann Lecturer for his work on spectral and high-order accurate numerical methods for partial differential equations and the applications of these methods to significant problems in science and engineering. Professor Gottlieb is honored for his efforts to build a community of researchers in contemporary methods for partial different equations in the fields of computational fluid dynamics, weather forecasting and computational electromagnetism. The John von Neumann Lecture is awarded annually for outstanding and distinguished contributions to the field of applied mathematical sciences and for the effective communication of these ideas to the community. See full story.

Professor Govind Menon is receives NSF Career Award, July 2008.  Professor Govind Menon receives an NSF Career Award in support of his work in the area of scaling and self-similarity in nonlinear science-education and research.  His research is to bring empirical scaling laws into rigorous mathematical analysis as they affect complex nonlinear problems, and to analyze seemingly unrelated problems within a unified framework that merges mathematical methods from partial differential equations, dynamical systems, and probability theory.  Joined to this research initiative, is an educational mission to develop undergraduate curricula that emphasize the extraction of simple quantitative answers from complex models.  Undergraduate seminars and research collaboration will be designed to increase the grasp of a unified framework between the mathematical utility of scaling analysis in the areas of biology, physical chemistry and geosciences to the fundamental understanding of the microscopic origin of universal scaling laws.

Professor David Gottlieb, Ford Foundation Professor of Applied Mathematics, May 2008.  Professor David Gottlieb was elected a fellow to the American Academy of Arts and Sciences for his seminal contributions which involve constructing and applying high order accuracy methods for the numerical solutions of partial different equations.  His work has made tremendous contributions in the areas of turbulence calculations and meteorology. Professor Gottlieb was also elected a member of the National Academy of Sciences in recognition of his distinguished and continuing achievements in original research. He joins 189 new Fellows and 22 Foreign Honorary Members in this year's class, which include Nobel laureates and recipients of Pulitzer and Pritzker prizes. See full story.

David Mumford Professor Emeritus of Applied Mathematics, 2008 Wolf Foundation Prize.  David Mumford has won the 2008 Wolf Foundation Prize in Mathematics for groundbreaking theoretical work in algebraic geometry. The Wolf Prize is one of the most prestigious honors in mathematics. “David Mumford is a highly original thinker, a very distinguished member of the Brown faculty, and an extremely influential member of the scientific community worldwide,” said Brown Provost David Kertzer. “This award is testament to his wide-ranging intelligence and the tremendous impact of his work.” Professor Mumford shares the 2008 mathematics prize with Pierre Deligne and Phillip Griffiths of Princeton University. According to the Wolf Foundation, Mumford is being recognized for his “work on algebraic surfaces; on geometric invariant theory; and for laying the foundations of the modern algebraic theory of moduli of curves and theta functions.”  (Reprinted from Brown Media Relations)

The 2007  Computational  Fluid  Dynamics Award. The U.S. Association for Computational Mechanics (USACM), confers its 2007 Computational Fluid Dynamics Award to George Em Karniadakis, Professor of Applied Mathematics at Brown University, for his “pioneering work in computational fluid dynamics, particularly spectral hp finite elements, discontinuous Galerkin methods and microfluidics.”  Among Professor Karniadakis’ research accomplishments are many firsts:  These include the  first DNS and LES of turbulence in complex geometries, the first theoretical/numerical work on gas micro-flows,  the first spectral element simulations of 3-D compressible - supersonic flows, and the first arterial tree simulation on the Teragird.  The USACM Fluid Dynamics Award  is granted in recognition of outstanding and sustained contributions to the broad field of Computational Fluid Dynamics (CFD), which have significantly advanced the understanding of theories and methods impacting CFD. 

David Gottlieb, Elected to National Academy of Sciences, 2007. David Gottlieb, Professor of Applied Mathematics at Brown University, has been elected to the National Academy of Sciences (NAS), one of the highest honors accorded to a scientist or engineer. Professor Gottlieb, who studies numerical analysis and methods for solving partial differential equations, is one of 72 new members and 18 foreign associates elected this year in recognition of their distinguished and continuing achievements in original research.   His research involves constructing and applying high-order accuracy methods for the numerical solutions of partial differential equations. Professor Gottlieb chaired the Department of Applied Mathematics at Tel Aviv University before coming to Brown, where he has supervised almost 20 Ph.D. students and built a world-renowned research group studying numerical analysis and scientific computing.  

Chi-Wang Shu, SIAM/ACM Prize in Computational Science and Engineering, 2007.  Dr. Chi-Wang Shu, Professor Applied Mathematics, received the SIAM/ACM Prize in Computational Science and Engineering. He was awarded this prize, “for the development of numerical methods that have had a great impact on scientific computing, including TVD temporal discretization, ENO and WENO finite difference schemes, discontinuous Galerkin methods, and spectral methods." Shu initialized the development of a class of nonlinearly stable high order time discretization, termed TVD (total variation diminishing) time discretization, suitable for convection dominated partial differential equations. Shu is one of the original designers of the nonlinearly stable ENO (essentially non-oscillatory) and WENO (weighted ENO) finite difference and finite volume schemes, which are widely used to solve problems with strong shocks and can maintain uniformly high order accuracy. Shu is also one of the original developers of the RKDG (Runge-Kutta discontinuous Galerkin) finite element method, which are widely used to solve convection dominated partial differential equations. (February 2007). 

David Mumford, 2007 AMS Leroy P. Steele Prize for Mathematical Exposition. Presented annually by the American Mathematical Society, the Steele Prize is one of the highest distinctions in mathematics. The prize was awarded to Professor David Mumford on Saturday, January 6, 2007, at the Joint Mathematics Meetings in New Orleans, Louisiana. The prize citation honors Mumford for "his beautiful expository accounts of a host of aspects of algebraic geometry". Among the works mentioned in the prize citation is: The Red Book of Varieties and Schemes (Springer, 1988). In his response upon receiving the prize, Mumford recalled that some of his drawings from The Red Book were included in a collection called Five Centuries of French Mathematics. This seemed fitting, he noted: "After all, it was the French who started impressionist painting and isn't this just an impressionist scheme for rendering geometry?" The prize citation states that,"the classical theory is beautifully intertwined with the modern theory, in a way which sharply illuminates both." Press Release from the AMS, January 8, 2007.