User David Ketcheson

51 votes

Accepted

Is it common not to use libraries for standard numerical algorithms, and why?

answered Dec 2, 2011 at 5:19

32 votes

Accepted

Why is local conservation important when solving PDEs?

answered Nov 30, 2011 at 7:29

31 votes

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How can I numerically differentiate an unevenly sampled function?

answered Dec 19, 2011 at 13:56

30 votes

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Strange oscillation when solving the advection equation by finite-difference with fully closed Neumann boundary conditions (reflection at boundaries)

answered Mar 4, 2013 at 17:33

26 votes

What are criteria to choose between finite-differences and finite-elements

answered Dec 8, 2011 at 5:19

24 votes

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Is it possible to use Octave to learn MATLAB programming?

answered Jan 22, 2012 at 19:45

22 votes

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Puzzling remark about stability region of fifth-order Runge-Kutta method

answered Oct 16, 2014 at 5:19

22 votes

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Why are higher-order Runge–Kutta methods not used more often?

answered Nov 17, 2016 at 14:48

16 votes

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Constructing explicit Runge Kutta methods of order 9 and higher

answered Aug 25, 2014 at 18:08

15 votes

Accepted

Implicit finite difference schemes for advection equation

answered May 5, 2012 at 18:34

15 votes

State of the Mac OS in Scientific Computing and HPC

answered Jan 3, 2012 at 8:39

15 votes

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How to determine if a numerical solution to a PDE is converging to a continuum solution?

answered Dec 2, 2011 at 20:17

15 votes

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

answered Mar 3, 2013 at 17:48

14 votes

How can the gravitational n-body problem be solved in parallel?

answered Dec 1, 2011 at 5:54

14 votes

Accepted

Which methods can ensure that physical quantities remain positive throughout a PDE simulation?

answered Nov 30, 2011 at 8:39

12 votes

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How should I study creating and programming HPC systems?

answered Dec 7, 2011 at 16:19

12 votes

Accepted

Solving a least squares problem with linear constraints in Python

answered Jul 5, 2012 at 4:56

12 votes

Accepted

What is "good" parallel scaling?

answered Apr 11, 2016 at 7:47

12 votes

Are there tasks in machine learning which require double precision floating points?

answered Nov 26, 2015 at 18:58

11 votes

Why do planets move at the wrong speed in my solar system model?

answered Jan 4, 2016 at 13:29

11 votes

Accepted

Is the shooting method the only general numerical method for solving nonlinear boundary value ODEs?

answered Sep 15, 2014 at 16:04

11 votes

Is there a way to reduce aberration in computations of planets' trajectories?

answered Feb 8, 2013 at 9:49

11 votes

Accepted

What are possible methods to solve compressible Euler equations

answered Dec 8, 2011 at 5:44

11 votes

Open-access journals in Computational Science

answered Feb 9, 2012 at 8:32

10 votes

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

answered Dec 31, 2011 at 7:05

10 votes

What is currently the "top" research in computational science?

answered Mar 14, 2013 at 17:41

10 votes

Numerical methods for discontinuous r.s. ODEs

answered Sep 17, 2012 at 6:48

10 votes

Accepted

Which numerical methods preserve time reversal symmetry?

answered Jan 14, 2016 at 11:32

10 votes

10th-order Runge-Kutta Method

answered Aug 19 at 5:05

9 votes

How to code in Matlab: If an argument is empty, then default to "x" value?

answered Dec 31, 2012 at 13:51

Stack Exchange Network

182 Answers

Is it common not to use libraries for standard numerical algorithms, and why?

Why is local conservation important when solving PDEs?

How can I numerically differentiate an unevenly sampled function?

Strange oscillation when solving the advection equation by finite-difference with fully closed Neumann boundary conditions (reflection at boundaries)

What are criteria to choose between finite-differences and finite-elements

Is it possible to use Octave to learn MATLAB programming?

Puzzling remark about stability region of fifth-order Runge-Kutta method

Why are higher-order Runge–Kutta methods not used more often?

Constructing explicit Runge Kutta methods of order 9 and higher

Implicit finite difference schemes for advection equation

State of the Mac OS in Scientific Computing and HPC

How to determine if a numerical solution to a PDE is converging to a continuum solution?

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

How can the gravitational n-body problem be solved in parallel?

Which methods can ensure that physical quantities remain positive throughout a PDE simulation?

How should I study creating and programming HPC systems?

Solving a least squares problem with linear constraints in Python

What is "good" parallel scaling?

Are there tasks in machine learning which require double precision floating points?

Why do planets move at the wrong speed in my solar system model?

Is the shooting method the only general numerical method for solving nonlinear boundary value ODEs?

Is there a way to reduce aberration in computations of planets' trajectories?

What are possible methods to solve compressible Euler equations

Open-access journals in Computational Science

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

What is currently the "top" research in computational science?

Numerical methods for discontinuous r.s. ODEs

Which numerical methods preserve time reversal symmetry?

10th-order Runge-Kutta Method

How to code in Matlab: If an argument is empty, then default to "x" value?