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8 answers
166 votes
134k views
161 bookmarks
Recommendations for a usable, fast C++ matrix library?
2 answers
29 votes
13k views
9 bookmarks
Does a tiny determinant imply ill-conditioning of a matrix?
3 answers
13 votes
10k views
7 bookmarks
Understanding the "rate of convergence" for iterative methods
1 answers
21 votes
9k views
18 bookmarks
What is the general idea of Nitsche's method in numerical analysis?
5 answers
10 votes
8k views
2 bookmarks
C++ library for numerical intergration (quadrature)
5 answers
26 votes
7k views
13 bookmarks
What are the main differences between PETSc and Trilinos?
2 answers
29 votes
5k views
25 bookmarks
Is Crank-Nicolson a stable discretization scheme for Reaction-Diffusion-Advection (convection) equation?
2 answers
23 votes
5k views
16 bookmarks
A good finite difference for the continuity equation
3 answers
27 votes
4k views
23 bookmarks
What is the principle behind the convergence of Krylov subspace methods for solving linear systems of equations?
2 answers
17 votes
3k views
14 bookmarks
Numerically stable way of computing angles between vectors
4 answers
4 votes
3k views
2 bookmarks
How to deal with nonlinear term in Navier Stokes equations (finite element code)
1 answers
20 votes
3k views
15 bookmarks
BDF vs implicit Runge Kutta time stepping
2 answers
5 votes
2k views
4 bookmarks
Evaluating the surface integral in an FEM (Finite Elements Method) procedure
2 answers
6 votes
2k views
4 bookmarks
implementing higher order derivatives for finite element
6 answers
18 votes
2k views
6 bookmarks
How to reorder variables to produce a banded matrix of minimum bandwidth?
9 answers
29 votes
2k views
11 bookmarks
What is a good way to run parameter studies in C++
1 answers
14 votes
965 views
7 bookmarks
Are direct solvers affected by the condition number of a matrix?
2 answers
10 votes
940 views
4 bookmarks
How much regularization to add to make SVD stable?
0 answers
8 votes
676 views
2 bookmarks
Numerical implementation of the Dirichlet-to-Neumann map
1 answers
3 votes
580 views
1 bookmarks
p-refinement in adaptive methods
2 answers
5 votes
515 views
4 bookmarks
Solving Poisson equation with current BC using FEM
2 answers
10 votes
512 views
8 bookmarks
Where can I find a good reference for the stability properties of several methods of solving parabolic PDEs?
1 answers
3 votes
483 views
4 bookmarks
Intro to DG Finite Element methods
2 answers
10 votes
463 views
3 bookmarks
Why do the shape of finite elements matter?
2 answers
8 votes
456 views
3 bookmarks
Why does conjugate gradient work with this nonsymmetric preconditioner?
1 answers
2 votes
427 views
1 bookmarks
Why do we need orthonormal basis of Krylov subspaces for GMRES?
3 answers
6 votes
423 views
3 bookmarks
How to impose boundary condition with mixed derivatives?
3 answers
11 votes
350 views
3 bookmarks
What is the current state of the art in solving higher dimensional parabolic PDEs (multi-electron Schrödinger equation)
1 answers
1 votes
324 views
1 bookmarks
Conjugate gradient - ill-conditioning and numerical tolerance
1 answers
4 votes
287 views
2 bookmarks
Localization of Sub-problems in the Multiscale Finite Element Method