David Ketcheson's user avatar
David Ketcheson's user avatar
David Ketcheson's user avatar
David Ketcheson
  • Member for 12 years, 4 months
  • Last seen this week
3 votes

What algorithm for solving a set of stiff ODEs would be easiest to port to high precision floating point arithmetic?

3 votes
Accepted

Numerical methods that can be written in flux conservative form

3 votes
Accepted

Shock Capturing Methods for Shallow Water Equations

3 votes
Accepted

Can 3rd order TVD admit perfect shift for Upwind 1D Advection equation?

3 votes
Accepted

Stability of PDE Discretizations with Multistep Time Discretizations

3 votes

When is it safe to ignore the diffusion term in an advection-diffusion equation?

3 votes

High order time splitting methods

3 votes

Efficient Eigen Solver

3 votes

How to isolate and test time discretization order of accuracy

3 votes

Error control and sequence acceleration at the same time

2 votes
Accepted

Stability Criteria for Numerical Solution of Windkessel Ordinary Differential Equation

2 votes

citations for numerical lookup table interpolation of P/ODE(s) RHS

2 votes

Converge rate analysis: issue with time convergence

2 votes
Accepted

If I discretize a PDE in space with WENO and in time with an implicit method, do I need to solve a nonlinear algebraic system at each time step?

2 votes
Accepted

A simple wave for the linear shallow water equations

2 votes
Accepted

Time Integrators for Water Wave Simulation

2 votes

Nonlinear Hyperbolic PDEs: Known solutions

2 votes

How to estimate the stage error for Runge kutta method

2 votes

problem in output solving two coupled second order differential equations in matlab

2 votes
Accepted

rate of convergence for the second order accurate method on two dimensional grid

2 votes
Accepted

How do I solve a boundary value ODE in MATLAB?

2 votes

mathematical statement of "open" boundary condition

2 votes

Relevance of fixed-point and arbitrary precision computations

2 votes

Testing for stability of a simulated dynamical system

2 votes

I don't understand how to correctly calculate truncation error

2 votes

Good tutorials on how to use Butcher tables?

2 votes
Accepted

BDF methods for implicit-explicit method

2 votes
Accepted

Strang splitting

2 votes

Are there operator splitting approaches for multiphysics PDEs that achieve high order convergence?

2 votes

Accurate computation of the current time in time integrator