![Visualization of two maxima, as was found in NIF topological analysis](/sites/default/files/styles/front_page_card/public/topological-llnl-project-card.png?itok=pgf2vxMI)
Topological Analysis
LLNL and University of Utah researchers have developed an advanced, intuitive method for analyzing and visualizing complex data sets.
![abstract rendering of ones, zeros, and a sunburst](/sites/default/files/styles/front_page_card/public/nsde-llnl-project-card.png?itok=CLAYzJm3)
NSDE
The NSDE project is focused on research and development of nonlinear solvers and sensitivity analysis techniques for nonlinear, time-dependent, and steady-state partial differential equations.
![PSUADE logo](/sites/default/files/styles/front_page_card/public/psuade-llnl-project-card.png?itok=mQavdEyw)
PSUADE
The flourishing of simulation-based scientific discovery has also resulted in the emergence of the UQ discipline, which is essential for validating and verifying computer models.
![portraits of seven members of sundials team on blue background](/sites/default/files/styles/front_page_card/public/2022-11/sundials-siam-award.png?itok=7iyeZbg4)
SUNDIALS team wins prestigious SIAM/ACM Prize
The prestigious award is handed out every two years and recognizes outstanding contributions to the development and use of mathematical and computational tools and methods for the solution of science and engineering problems.
![MFEM logo next to del symbol (indicating partial derivative) and x variable](/sites/default/files/styles/front_page_card/public/2022-10/%E2%88%82FEM%20Logo_875x500px.jpg?itok=voJ_7k3-)
DOE funds LLNL project to improve differentiation of extreme-scale science apps
Researchers will address the challenge of efficiently differentiating large-scale applications for the DOE by building on advances in LLNL’s MFEM finite element library and MIT’s Enzyme AD tool.
![a person works with his arms inside a glove box](/sites/default/files/styles/front_page_card/public/2022-09/stockpile-stewardship-news.png?itok=oh9Z5BS8)
Developing technology to keep the nuclear stockpile safe, secure, and reliable
The first article in a series about the Lab's stockpile stewardship mission highlights the roles of computer simulations and exascale computing.