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David Ketcheson
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170 Answers

Votes Activity Newest
16
Constructing explicit Runge Kutta methods of order 9 and higher
Aug 25 '14 at 18:08
3
Numerical methods that can be written in flux conservative form
May 20 '20 at 7:29
3
Shallow water equations (SWE): well-posed initial data for single travelling pulse
May 6 '20 at 11:51
7
Solving ODEs with nonlinear constraints
Mar 23 '20 at 7:57
1
Mass conservation for hyperbolic relaxation problem
Mar 13 '20 at 9:49
4
Parareal for particle simulations
Feb 12 '20 at 5:57
5
Time integration of wave equation
Apr 29 '19 at 16:46
1
Finite volume discretization of non-conservative linear hyperbolic equation
Mar 7 '19 at 6:49
28
Strange oscillation when solving the advection equation by finite-difference with fully closed Neumann boundary conditions (reflection at boundaries)
Mar 4 '13 at 17:33
4
How well do explicit Runge-Kutta “tableau” methods compare to the state of the art ODE solvers and when do they fail?
Sep 28 '18 at 7:01
2
Stability Criteria for Numerical Solution of Windkessel Ordinary Differential Equation
Aug 22 '18 at 4:34
5
Adaptive Timestepping for Stong Stability Preserving (SSP) Runge-Kutta Methods
Jun 22 '17 at 4:43
3
Error control and sequence acceleration at the same time
Jun 29 '18 at 12:51
3
How to isolate and test time discretization order of accuracy
Jun 8 '18 at 11:43
19
Why are higher-order Runge–Kutta methods not used more often?
Nov 17 '16 at 14:48
11
Solving a least squares problem with linear constraints in Python
Jul 5 '12 at 4:56
7
Do there exist low-storage Runge–Kutta methods with an order larger than four?
Jan 25 '18 at 7:45
10
Where can I find a good reference for the stability properties of several methods of solving parabolic PDEs?
Dec 31 '11 at 7:05
3
Stability of PDE Discretizations with Multistep Time Discretizations
Jun 7 '17 at 3:38
3
Can 3rd order TVD admit perfect shift for Upwind 1D Advection equation?
Mar 12 '17 at 15:25
4
Trotter expansions in ode solver?
Mar 4 '17 at 22:02
2
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?
Feb 22 '17 at 23:48
2
Converge rate analysis: issue with time convergence
Feb 16 '17 at 19:29
3
When is it safe to ignore the diffusion term in an advection-diffusion equation?
Feb 16 '17 at 18:29
2
citations for numerical lookup table interpolation of P/ODE(s) RHS
Jan 26 '17 at 17:04
4
How can I numericaly solve a convection-diffusion equation with a large diffusion term?
Jan 25 '17 at 17:43
3
Efficient Eigen Solver
Dec 21 '16 at 18:27
1
Numerical differentiation of non-linear functions
Dec 18 '16 at 6:57
6
What's the fastest implementation of elementwise vector multiplication in Fortran?
Dec 10 '16 at 18:22
3
High order time splitting methods
Jul 30 '16 at 7:55
1
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