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May 2008 - Posts

Explicit and Implicit
This is the final post of the simple HPC Math series I am composing. The previous two posts were on linear, and nonlinear solvers. Just like nonlinear solvers depend on linear solvers, time stepper solvers will depend on the previous two building blocks. Read More...
5 min Intro to nonlinear solvers
Nonlinear solvers are essentially solving a system of nonlinear equations. X^2 + x -1 =0 is a nonlinear equation. As we recall from Calculus 101, to solve these equations, one has to use some variants of Newton’s method because it has fast convergence Read More...
Math under the hood
We recently had a company called Simulia visiting us at a deep dive lab. Their product, Abaqus, a commercial software package for finite element analysis prompted me to quickly brush up on my numerical computation knowledge. After all, you can't compute Read More...
Problogue
Super computing is crucial for science in the 21st century.  For a long time people have been theorists or experimentalists, those have worked in synergy to develop scientific theory and explain natural phenomenon.  The incredible development Read More...
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