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27 votes
5 answers
7k views

What are the main differences between PETSc and Trilinos?

5 votes
2 answers
3k views

Evaluating the surface integral in an FEM (Finite Elements Method) procedure

14 votes
1 answer
1k views

Are direct solvers affected by the condition number of a matrix?

4 votes
4 answers
3k views

How to deal with nonlinear term in Navier Stokes equations (finite element code)

20 votes
1 answer
3k views

BDF vs implicit Runge Kutta time stepping

18 votes
6 answers
2k views

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

3 votes
1 answer
178 views

How to show that a problem is ill-posed

4 votes
1 answer
288 views

How can one prove the duality of Voronoi and Delaunay?

6 votes
2 answers
2k views

implementing higher order derivatives for finite element

1 vote
1 answer
410 views

Conjugate gradient - ill-conditioning and numerical tolerance

5 votes
2 answers
214 views

Building Gaussian-type quadrature schemes with Zernike polynomials

2 votes
1 answer
178 views

Poorly conditioned, easily evaluated sum for unit testing

168 votes
8 answers
135k views

Recommendations for a usable, fast C++ matrix library?

29 votes
2 answers
5k views

Is Crank-Nicolson a stable discretization scheme for Reaction-Diffusion-Advection (convection) equation?

10 votes
2 answers
1k views

How much regularization to add to make SVD stable?

5 votes
2 answers
537 views

Solving Poisson equation with current BC using FEM

3 votes
1 answer
269 views

FEM current toy problem

3 votes
1 answer
601 views

p-refinement in adaptive methods

6 votes
1 answer
280 views

Why is the continuous Galerkin Finite Element Method a poor choice for the inverse problem for the Navier-Lame equation?

8 votes
2 answers
488 views

Why does conjugate gradient work with this nonsymmetric preconditioner?

18 votes
2 answers
4k views

Numerically stable way of computing angles between vectors

3 votes
1 answer
144 views

Comments needed on the doubts of PDEs in moving boundary problems

10 votes
2 answers
520 views

Where can I find a good reference for the stability properties of several methods of solving parabolic PDEs?

2 votes
1 answer
467 views

Why do we need orthonormal basis of Krylov subspaces for GMRES?

10 votes
5 answers
8k views

C++ library for numerical intergration (quadrature)

6 votes
3 answers
445 views

How to impose boundary condition with mixed derivatives?

21 votes
1 answer
9k views

What is the general idea of Nitsche's method in numerical analysis?

3 votes
1 answer
186 views

Stability of PDE Discretizations with Multistep Time Discretizations

8 votes
0 answers
701 views

Numerical implementation of the Dirichlet-to-Neumann map

29 votes
9 answers
2k views

What is a good way to run parameter studies in C++