Jed Brown

Boulder

https://jedbrown.org

I am a computational mathematician in the Mathematics and Computer Science Division at Argonne National Lab and an adjoint professor at CU Boulder. Among other things, I am a developer of the PETSc solvers package. See my research page for details.

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Why is local conservation important when solving PDEs?

pde hyperbolic-pde cfd asked Nov 30, 2011 at 6:16

scicomp.stackexchange.com

30 votes

Why is my iterative linear solver not converging?

linear-algebra petsc preconditioning krylov-method iterative-method asked Dec 23, 2011 at 1:52

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23 votes

Why is Newton's method not converging?

petsc pde implicit-methods asked Nov 30, 2011 at 5:16

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19 votes

How to determine if a numerical solution to a PDE is converging to a continuum solution?

pde stability convergence asked Dec 2, 2011 at 6:23

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18 votes

Portable multicore/NUMA memory allocation/initialization best practices

performance memory-management multicore asked Apr 23, 2012 at 16:27

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18 votes

Which methods can ensure that physical quantities remain positive throughout a PDE simulation?

pde cfd hyperbolic-pde asked Nov 30, 2011 at 6:59

scicomp.stackexchange.com

18 votes

CEDET scalability tips

emacs scalability cedet asked Sep 27, 2010 at 19:59

stackoverflow.com

16 votes

How can I estimate the condition number of a large sparse matrix using PETSc?

petsc linear-algebra asked Nov 30, 2011 at 5:49

scicomp.stackexchange.com

16 votes

Constant array types in C, flaw in standard?

c standards asked Nov 20, 2008 at 13:28

stackoverflow.com

16 votes

What are the best practices for algorithms and implementation of multi-physics simulations?

pde multiphysics implicit-methods software asked Dec 2, 2011 at 6:01

scicomp.stackexchange.com

Top Answers

What are the conceptual differences between the finite element and finite volume method?

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What are criteria to choose between finite-differences and finite-elements

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What core skills should every computational scientist have?

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Why is Newton's method not converging?

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Are there any famous problems/algorithms in scientific computing that cannot be sped up by parallelisation

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Why is my iterative linear solver not converging?

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Alternatives to Journal of Computational Physics

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Scientific standards for numerical errors

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Higher precision floating-point arithmetic in numerical PDE

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How can wavelets be applied to PDE?

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aligning math equations in Latex

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Modern resources for learning FEM

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What is the principle behind the convergence of Krylov subspace methods for solving linear systems of equations?

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Can a Krylov subspace method be used as a smoother for multigrid?

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When is Newton-Krylov not an appropriate solver?

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What material should I include with a journal article (or post online) in order to make my computational research reproducible?

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What is the advantage of multigrid over domain decomposition preconditioners, and vice versa?

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When should implicit methods be used in the integration of hyperbolic PDEs?

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Disadvantages of common discretization schemes for CFD simulations

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How to address numerical non-associativity for parallel reduction?

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When should I use C++ expression templates in computational science, and when should I *not* use them?

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Unstructured quad mesh-generation?

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Log-log parallel scaling/efficiency plots

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What are the benefits and drawbacks inherent to using classes to encapsulate numerical algorithms?

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Can the advection equation with variable velocity be conservative?

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How much should scientific software be optimized?

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What programming strategies can I take for easily modifying algorithm parameters?

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Definition of incompressible flow

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Costs of lookups versus calculations

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Numerical methods for discontinuous r.s. ODEs

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