Scientific Computing

scientific computingSimulation plays a major role in nearly every area of science and engineering—from data analysis to physical models. Our faculty design, build, and analyze the behavior of numerical algorithms to ensure that numerical methods are accurate and that implementations are efficient.

We design and analyze the accuracy of methods, developing numerical approximations to partial differential equations with advanced finite element methods and integral equations. We also develop solvers for these problems, instrumenting techniques based on numerical linear algebra, iterative subspace methods, and multigrid methods. Our research explores the efficiency of these methods on a range of architectures and environments, from high-concurrency nodes, such as GPUs, to large-scale supercomputing systems. We explore parallel scalability and analyze performance in computing kernels from graph algorithms to sparse linear algebra.

CS Faculty and Their Research Interests

Paul Fischer numerical PDEs, spectral element methods, computational fluid dynamics, parallel and high-performance algorithms, iterative methods 
William Gropp high performance scientific computing, scalable numerical algorithms for PDEs, large-scale parallel software 
Michael T. Heath numerical analysis and scientific computing, numerical linear algebra and optimization 
Laxmikant Kale simulation software, numerical libraries and algorithms 
Andreas Kloeckner integral equation methods for PDEs, high-order finite element methods for hyperbolic PDEs, tools and languages for high-performance computing, time integration 
William Kramer extreme-scale computing and analytics, performance evaluation, data and storage techniques 
Luke Olson numerical analysis, scientific computing, large-scale simulation 
Marc Snir large-scale parallel systems, algorithms, and libraries 
Edgar Solomonik communication complexity

Affiliate Faculty

Daniel S. Katz, NCSA resilience and fault-tolerance, many-task computing, parallel and distributed computing, sustainable and open science software

Adjunct Faculty

Frank Cappello,
Argonne National Lab
determinism in high-performance and distributed computing, check-pointing, fault prediction 

Related Scientific Computing Research Efforts and Groups

Scientific Computing Research News

CS Assistant Professor Andreas Kloeckner

Kloeckner wins NSF CAREER Award to make computer simulation faster, cheaper

September 20, 2017   Kloeckner looks to create better, more versatile solvers for elliptic PDEs in order to improve large-scale simulations.

Gear Establishes Legacy Gift to CS

August 16, 2017   Bill Gear and his wife Ann Lee Morgan have established a bequest that will provide financial support to CS @ ILLINOIS students and/or faculty, depending on the future value of their residual estate. 
CS Assistant Professor Edgar Solomonik

Solomonik wins Householder Prize

July 19, 2017   Assistant Professor Edgar Solomonik was one of two winners of the Householder Prize XX, which recognizes the best dissertation in numerical linear algebra.
Professor Bill Gropp

Bill Gropp named NCSA Director

June 26, 2017   Professor Bill Gropp, the Thomas M. Siebel Chair in Computer Science, has been named Director of the National Center for Supercomputing Applications.
CS Professor Luke Olson

Luke Olson named CSE Director

May 15, 2017   Luke Olson, Professor of Computer Science and Willet Faculty Scholar, has been named Director of the Computational Science and Engineering program.