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Philip Roe
  • Member for 5 years, 1 month
  • Last seen this week
7 votes

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

5 votes

What is the origin of the spurious oscillations in the Crank-Nicolson scheme?

5 votes

stability of a numercial scheme for a hyperbolic system?

4 votes

Do computational scientists typically also become domain experts?

4 votes
Accepted

Can we simulate compressible flows by simple direct explicit calculation, without solving systems of linear equations (such as Poisson eq)?

4 votes

Advection equation with finite difference: importance of forward, backward or centered difference formula for the first derivative

3 votes

Finite difference for mixed derivatives on nonuniform grid

3 votes

How important is learning hardware/architecture for scientific computing?

2 votes
Accepted

Which finite difference better approximates $uu'$?

2 votes

How to discretize the advection equation using the Crank-Nicolson method?

2 votes
Accepted

How to show that a problem is ill-posed

2 votes
Accepted

How is central difference scheme second-order accurate?

2 votes
Accepted

Is upwinding needed for slope limiter / flux limiter and numerical flux?

2 votes

Conservation violation in axisymmetric Diffusion Equation

2 votes

discrete definitions of curl $\nabla \times F$?

2 votes

Calculating a limit as parameter goes to infinity

1 vote

Finite difference for mixed derivatives on nonuniform grid

1 vote
Accepted

von Neumann stability analysis for spatial variable flux

1 vote

How to estimate the error of trapezoidal rule using discrete data?

1 vote

How can I numerically differentiate an unevenly sampled function?

1 vote

Why is the FVM traditionally used in CFD, and FEM in computational structures?

1 vote

Why in scientific papers convergence of finite difference and finite volume schemes is tested using multiple norms ($l_1$, $l_2$ and $l_{\infty}$)?

1 vote

Why is FEM theory only ever written down for simplices?

0 votes

Setting up consistency tests in FVM

0 votes

How can I derive a bound on the spurious oscillations in the numerical solution of the 1D advection equation?

0 votes

How to determine if 2 rays intersect?

0 votes

In Matlab, how can I be consistent with units?

0 votes

Finite difference for 1D wave equation: why the spike initial data results in a noisy output?

0 votes

Role of the numerical flux in DG-FEM

0 votes

Finite differences on domains with irregular boundaries