User Jed Brown

55 votes

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

answered Aug 12, 2013 at 3:51

51 votes

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

answered Dec 8, 2011 at 5:39

48 votes

What core skills should every computational scientist have?

answered Feb 2, 2012 at 16:04

43 votes

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Why is Newton's method not converging?

answered Nov 30, 2011 at 5:23

32 votes

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

answered Feb 23, 2012 at 3:46

29 votes

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Alternatives to Journal of Computational Physics

answered Jul 19, 2012 at 5:37

27 votes

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Why is my iterative linear solver not converging?

answered Dec 23, 2011 at 2:13

27 votes

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Scientific standards for numerical errors

answered Oct 9, 2012 at 22:47

24 votes

Higher precision floating-point arithmetic in numerical PDE

answered Aug 23, 2012 at 17:04

21 votes

Modern resources for learning FEM

answered Feb 27, 2012 at 4:30

21 votes

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How can wavelets be applied to PDE?

answered Jan 27, 2012 at 3:03

19 votes

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

answered Jan 29, 2012 at 21:54

19 votes

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

answered Jan 17, 2012 at 13:56

19 votes

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When is Newton-Krylov not an appropriate solver?

answered Nov 30, 2013 at 16:32

18 votes

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

answered Dec 31, 2011 at 1:27

18 votes

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

answered Nov 30, 2011 at 16:16

18 votes

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

answered Apr 6, 2012 at 19:45

18 votes

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Disadvantages of common discretization schemes for CFD simulations

answered May 27, 2012 at 4:22

17 votes

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How to address numerical non-associativity for parallel reduction?

answered May 29, 2012 at 22:28

17 votes

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Unstructured quad mesh-generation?

answered Dec 28, 2011 at 19:45

17 votes

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

answered Mar 15, 2012 at 1:31

16 votes

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

answered Jul 12, 2012 at 7:47

16 votes

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Can the advection equation with variable velocity be conservative?

answered May 19, 2013 at 13:45

16 votes

Log-log parallel scaling/efficiency plots

answered Mar 17, 2013 at 13:48

15 votes

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Definition of incompressible flow

answered Apr 16, 2013 at 15:15

15 votes

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Costs of lookups versus calculations

answered Jun 8, 2012 at 12:53

15 votes

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How much should scientific software be optimized?

answered Feb 8, 2012 at 23:43

15 votes

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

answered Dec 3, 2011 at 4:56

14 votes

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

answered Nov 30, 2011 at 6:44

14 votes

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Stopping criteria for iterative linear solvers applied to nearly singular systems

answered Jan 6, 2012 at 15:11

Stack Exchange Network

267 Answers

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

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

What core skills should every computational scientist have?

Why is Newton's method not converging?

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

Alternatives to Journal of Computational Physics

Why is my iterative linear solver not converging?

Scientific standards for numerical errors

Higher precision floating-point arithmetic in numerical PDE

Modern resources for learning FEM

How can wavelets be applied to PDE?

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

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

When is Newton-Krylov not an appropriate solver?

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

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

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

Disadvantages of common discretization schemes for CFD simulations

How to address numerical non-associativity for parallel reduction?

Unstructured quad mesh-generation?

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

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

Can the advection equation with variable velocity be conservative?

Log-log parallel scaling/efficiency plots

Definition of incompressible flow

Costs of lookups versus calculations

How much should scientific software be optimized?

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

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

Stopping criteria for iterative linear solvers applied to nearly singular systems