I am a little confused on how Euler can help us test stability and springs. Is there a link that can clarify this?
m11
Does backward or forward euler have a better balance between computational complexity and the accuracy of the results it gives?
akshay
@m11 I believe the specific balance between complexity and accuracy depends on the kind of problem you're doing. Some problems require the stability of Backward Euler, in which case trying to solve it using Forward Euler would require you to take implausibly small time-steps. Other problems may decay too quickly when using Backwards Euler because it doesn't conserve energy, which means you might need to use an even more complicated method like Runge-Kutta or Symplectic Euler.
I am a little confused on how Euler can help us test stability and springs. Is there a link that can clarify this?
Does backward or forward euler have a better balance between computational complexity and the accuracy of the results it gives?
@m11 I believe the specific balance between complexity and accuracy depends on the kind of problem you're doing. Some problems require the stability of Backward Euler, in which case trying to solve it using Forward Euler would require you to take implausibly small time-steps. Other problems may decay too quickly when using Backwards Euler because it doesn't conserve energy, which means you might need to use an even more complicated method like Runge-Kutta or Symplectic Euler.