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
55 votes
Accepted

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

51 votes
Accepted

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

48 votes

What core skills should every computational scientist have?

43 votes
Accepted

Why is Newton's method not converging?

32 votes
Accepted

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

29 votes
Accepted

Alternatives to Journal of Computational Physics

27 votes
Accepted

Why is my iterative linear solver not converging?

27 votes
Accepted

Scientific standards for numerical errors

24 votes

Higher precision floating-point arithmetic in numerical PDE

21 votes

Modern resources for learning FEM

21 votes
Accepted

How can wavelets be applied to PDE?

19 votes

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

19 votes
Accepted

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

19 votes
Accepted

When is Newton-Krylov not an appropriate solver?

18 votes

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

18 votes
Accepted

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

18 votes
Accepted

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

18 votes
Accepted

Disadvantages of common discretization schemes for CFD simulations

17 votes
Accepted

How to address numerical non-associativity for parallel reduction?

17 votes
Accepted

Unstructured quad mesh-generation?

17 votes
Accepted

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

16 votes

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

16 votes
Accepted

Can the advection equation with variable velocity be conservative?

16 votes

Log-log parallel scaling/efficiency plots

15 votes
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Definition of incompressible flow

15 votes
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Costs of lookups versus calculations

15 votes
Accepted

How much should scientific software be optimized?

15 votes

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

14 votes
Accepted

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

14 votes
Accepted

Stopping criteria for iterative linear solvers applied to nearly singular systems

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