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Paul
  • Member for 12 years, 3 months
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30 votes
3 answers
4k views

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

19 votes
1 answer
6k views

How to derive the Weak Formulation of a Partial Differential Equation for Finite Element Method?

18 votes
6 answers
2k views

How to reorder variables to produce a banded matrix of minimum bandwidth?

17 votes
1 answer
3k views

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

17 votes
2 answers
4k views

Disadvantages of common discretization schemes for CFD simulations

16 votes
2 answers
33k views

What are the advantages/disadvantages of interior point methods over simplex method for linear optimization?

16 votes
4 answers
1k views

Can the solution of a linear system of equations be approximated for only the first few variables?

16 votes
1 answer
22k views

How can I determine the period of my pseudo-random number generator?

15 votes
4 answers
2k views

Illustrative examples of mimetic finite difference methods

14 votes
1 answer
10k views

Understanding the Wolfe Conditions for an Inexact line search

14 votes
0 answers
447 views

Operator Splitting methods for DAEs

13 votes
2 answers
3k views

Understanding the cost of adjoint method for pde-constrained optimization

13 votes
3 answers
3k views

Mathematically, why does mass matrix / load vector lumping work?

13 votes
2 answers
2k views

Alternatives to von neumann stability analysis for finite difference methods

13 votes
2 answers
7k views

Strategies for Newton's Method when the Jacobian at the solution is singular

13 votes
5 answers
6k views

How can I approximate an improper integral?

12 votes
3 answers
2k views

Can compressible flow solvers be used to solve incompressible flow?

12 votes
1 answer
772 views

Using fixed point iteration to decouple a system of pde's

11 votes
2 answers
7k views

How does the computational cost of an mpi_allgather operation compare with a gather/scatter operation?

11 votes
1 answer
2k views

Sensitivity of BFGS to initial Hessian approximations

11 votes
2 answers
24k views

How to set double precision values in Fortran

11 votes
1 answer
8k views

Are there any heuristics for optimizing the successive over-relaxation (SOR) method?

11 votes
1 answer
2k views

How can one parallelize a multigrid method for solving a linear system of equations?

10 votes
3 answers
3k views

How to construct a prolongation and restriction operator for an algebraic multigrid solver?

10 votes
5 answers
7k views

How are the Voronoi Tesselation and Delaunay triangulation problems duals of each other?

10 votes
1 answer
710 views

How to assemble and solve a matrix system in parallel from values generated in different processors?

10 votes
3 answers
1k views

Can I use an explicit time stepping scheme to determine numerically whether an ODE is stiff?

10 votes
1 answer
282 views

Can a numerical scheme be used to determine the well-posedness of an initial or boundary value problem?

10 votes
1 answer
2k views

How can I determine the initial values of pseudo-random number generator if the sequence is given?

9 votes
2 answers
3k views

How do I compute the parallel overhead of a parallel code run on a single processor when no sequential code is available?