Backward Euler advances y′=f(t,y) by yn+1=yn+hf(tn+1,yn+1). Its stability function R(z)=(1−z)−1 makes it L-stable.
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- Backward differentiation formula
- Contact-mode timestep stability
- Implicit time-stepping method
- Inflow advection energy estimate from summation by parts
- Lie-Trotter splitting commutator error
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- Reaction contribution in backward Euler energy dissipation
- Rough-data damping distinction for the theta method
- Stability function
- Theta method
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