Quadratic Nonlinear Schrödinger Equation (T=1.0, N=1024, γ=0.5)
0L2 ErrorHIN-LRI
Evaluation Results
| Method | Links | |||
|---|---|---|---|---|
| HIN-LRITime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0 | — | — | |
| HIN-LRITime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0 | — | — | |
| HIN-LRITime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0001 | — | — | |
| HIN-LRITime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0005 | — | — | |
| ULRITime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0007 | — | — | |
| ULRITime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0007 | — | — | |
| ULRITime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0007 | — | — | |
| ULRITime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.001 | — | — | |
| HIN-LRITime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.002 | — | — | |
| ULRITime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0027 | — | — | |
| HIN-LRITime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0082 | — | — | |
| ULRITime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0092 | — | — | |
| Filtered integratorTime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0122 | — | — | |
| Filtered integratorTime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0128 | — | — | |
| Filtered integratorTime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0141 | — | — | |
| Filtered integratorTime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0172 | — | — | |
| Filtered integratorTime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0251 | — | — | |
| Filtered integratorTime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.0421 | — | — | |
| Strang splittingTime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.118 | — | — | |
| Strang splittingTime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.152 | — | — | |
| Strang splittingTime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.05 | 0.214 | — | — |