Computational Science
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Chris Rackauckas
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155 Answers

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56
What does “symplectic” mean in reference to numerical integrators, and does SciPy's odeint use them?
Mar 26 '18 at 15:11
51
How mature is the “Julia” scientific computing language project?
May 19 '19 at 11:47
39
BDF vs implicit Runge Kutta time stepping
Jun 16 '17 at 23:52
35
Which Runge-Kutta method is more accurate: Dormand-Prince or Cash-Karp?
Sep 22 '16 at 1:06
27
Conserving Energy in Physics Simulation with imperfect Numerical Solver
Dec 31 '19 at 12:52
23
What language should I use when teaching an undergraduate course in computer programming?
Jun 28 '17 at 13:09
20
What is the state of the art in solving stiff initial value problems?
Apr 6 '19 at 12:33
20
How much more work is it to code math models in Python, compared to working with Matlab?
Jan 2 '20 at 2:25
20
What programming language should I choose and why?
Apr 30 '20 at 15:45
14
Options for solving ODE systems on GPUs?
Dec 2 '19 at 22:53
14
The real myth of GPU (specifically CUDA) really speed up FEM/CFD
Oct 9 '16 at 2:38
13
Why are higher-order Runge–Kutta methods not used more often?
Nov 21 '16 at 17:45
13
Easily understandable argument that normal Runge–Kutta methods cannot be generalised to SDEs?
Aug 21 '17 at 15:20
12
Practical example of why it is not good to invert a matrix
Mar 17 '17 at 16:26
11
Comparing Algorithmic complexity, ODE Solvers (Big O)
Jan 15 '18 at 15:26
10
What is the difference between Computational Science and Data Science?
Jul 22 '16 at 4:55
9
Special-case Runge-Kutta methods to exploit structure in linear ODE?
Dec 30 '20 at 22:54
9
Has anyone used Julia to write a PDE solver?
Apr 12 '20 at 15:06
9
Recommended language/environment for large scale semi-continuous biological models
Feb 4 '18 at 18:53
9
Example where autodiff works but symbolic differentiation will not?
Jan 15 '20 at 4:16
9
Why is it not computationally possible to accurately predict the weather that would occur after 14 days?
Jul 7 '17 at 15:15
8
Jacobians with automatic differentiation
Jul 25 '20 at 17:57
8
Solving PDE implicitly or explicitly depending on stiffness
Jul 27 '18 at 16:32
8
Limitations with dynamical systems vs. PDEs?
Aug 25 '19 at 15:16
7
Constructing explicit Runge Kutta methods of order 9 and higher
Jun 19 '17 at 3:21
7
The Formula of Explicit Runge-Kutta Fourteen order
Dec 11 '19 at 12:26
7
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 16:22
7
What’s so great about derivative-free solvers for SDEs?
Mar 30 '17 at 17:33
7
Functional Programming and Scientific Computing
Jul 26 '16 at 18:17
6
Method to solve linear, first order ODE of generalized matrix matrix form
Oct 21 '17 at 8:13
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