Jed Brown's user avatar
Jed Brown's user avatar
Jed Brown's user avatar
Jed Brown
  • Member for 10 years, 10 months
  • Last seen more than a month ago
32 votes
4 answers
2k views

Why is local conservation important when solving PDEs?

28 votes
2 answers
14k views

Why is my iterative linear solver not converging?

23 votes
1 answer
14k views

Why is Newton's method not converging?

19 votes
2 answers
3k views

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

18 votes
4 answers
5k views

Portable multicore/NUMA memory allocation/initialization best practices

18 votes
4 answers
630 views

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

16 votes
2 answers
327 views

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

16 votes
1 answer
4k views

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

15 votes
3 answers
891 views

What is a scalable preconditioner for high-frequency Helmholtz?

14 votes
1 answer
448 views

What spatial discretizations work for incompressible flow with anisotropic boundary meshes?

14 votes
1 answer
611 views

Is there a multigrid algorithm that solves Neumann problems and has a convergence rate independent of the number of levels?

13 votes
1 answer
386 views

How to construct well-balanced finite volume and discontinuous Galerkin methods for hyperbolic PDEs with source terms?

11 votes
1 answer
254 views

Statistical models for local memory/compute, network latency, and bandwidth jitter in HPC