User David Ketcheson

5 votes

Applying the method of lines to parabolic PDEs: references and software

answered Oct 17, 2014 at 6:40

5 votes

Accepted

How to set up a shock tube problem such that the solution includes a shock with a specified Mach number

answered Oct 20, 2014 at 10:39

5 votes

Solve a fourth order differential equation

answered Oct 21, 2014 at 7:57

5 votes

Python, numpy and complex functions (PDE's)

answered Apr 11, 2015 at 3:44

5 votes

Looking for references on this adaptive Runge–Kutta method (GSL’s rk2)

answered Apr 22, 2015 at 11:26

5 votes

method of frozen coefficients and its relation to von Neumann stability analysis

answered Mar 6, 2016 at 12:25

5 votes

Accepted

Fourth order IMEX Runge-Kutta method

answered Jan 21, 2016 at 5:53

5 votes

Accepted

Understanding and implementing the Fast Fourier Transform

answered Jan 21, 2016 at 6:03

5 votes

Accepted

What is the preferred method for evolving the Nonlinear Schrödinger Equation?

answered Apr 17, 2016 at 6:55

5 votes

CFL condition for variable coefficients

answered Aug 31, 2015 at 7:07

5 votes

Fixed-step ODE solver with variable order?

answered Dec 19, 2015 at 10:47

5 votes

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

answered May 28, 2012 at 6:13

5 votes

On Finding Open Source Projects To Contribute To

answered Feb 6, 2012 at 21:38

5 votes

Scalability of Fast Fourier Transform (FFT)

answered Jan 13, 2012 at 7:41

5 votes

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Coupling FEM DG methods to Riemann solvers

answered Nov 30, 2011 at 17:56

5 votes

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Enumerating hexahedral cell vertices and faces in arbitrary dimension

answered Dec 5, 2011 at 5:33

5 votes

Is there a good tutorial or textbook-like source on implementing ENO/WENO with limiters in one (and more than one) dimension?

answered Oct 8, 2013 at 3:46

5 votes

Stability of numerical method for 1D Burger's equation

answered Oct 10, 2013 at 6:01

5 votes

Accepted

Demonstrating that the time step size is small enough in a code with automatic step size selection

answered Sep 4, 2012 at 5:23

5 votes

Time integration of wave equation

answered Apr 29, 2019 at 16:46

5 votes

Why not use the convolution theorem for explicit timestepping?

answered Apr 8, 2022 at 4:22

5 votes

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Coupling simulations with different time-steps

answered Oct 21 at 9:18

5 votes

Accepted

Adaptive Timestepping for Stong Stability Preserving (SSP) Runge-Kutta Methods

answered Jun 22, 2017 at 4:43

4 votes

Monotonicity of Errors with Respect to Step Sizes in Numerical Methods for PDEs

answered Apr 15 at 17:39

4 votes

Accepted

Shallow water equations (SWE): well-posed initial data for single travelling pulse

answered May 6, 2020 at 11:51

4 votes

Accepted

Geometric integrators besides midpoint/Crank-Nicolson?

answered May 3, 2021 at 6:59

4 votes

Accepted

Parareal for particle simulations

answered Feb 12, 2020 at 5:57

4 votes

How well do explicit Runge-Kutta "tableau" methods compare to the state of the art ODE solvers and when do they fail?

answered Sep 28, 2018 at 7:01

4 votes

Accepted

How can I numericaly solve a convection-diffusion equation with a large diffusion term?

answered Jan 25, 2017 at 17:43

4 votes

Trotter expansions in ode solver?

answered Mar 4, 2017 at 22:02

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182 Answers

Applying the method of lines to parabolic PDEs: references and software

How to set up a shock tube problem such that the solution includes a shock with a specified Mach number

Solve a fourth order differential equation

Python, numpy and complex functions (PDE's)

Looking for references on this adaptive Runge–Kutta method (GSL’s rk2)

method of frozen coefficients and its relation to von Neumann stability analysis

Fourth order IMEX Runge-Kutta method

Understanding and implementing the Fast Fourier Transform

What is the preferred method for evolving the Nonlinear Schrödinger Equation?

CFL condition for variable coefficients

Fixed-step ODE solver with variable order?

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

On Finding Open Source Projects To Contribute To

Scalability of Fast Fourier Transform (FFT)

Coupling FEM DG methods to Riemann solvers

Enumerating hexahedral cell vertices and faces in arbitrary dimension

Is there a good tutorial or textbook-like source on implementing ENO/WENO with limiters in one (and more than one) dimension?

Stability of numerical method for 1D Burger's equation

Demonstrating that the time step size is small enough in a code with automatic step size selection

Time integration of wave equation

Why not use the convolution theorem for explicit timestepping?

Coupling simulations with different time-steps

Adaptive Timestepping for Stong Stability Preserving (SSP) Runge-Kutta Methods

Monotonicity of Errors with Respect to Step Sizes in Numerical Methods for PDEs

Shallow water equations (SWE): well-posed initial data for single travelling pulse

Geometric integrators besides midpoint/Crank-Nicolson?

Parareal for particle simulations

How well do explicit Runge-Kutta "tableau" methods compare to the state of the art ODE solvers and when do they fail?

How can I numericaly solve a convection-diffusion equation with a large diffusion term?

Trotter expansions in ode solver?