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Quadratic Nonlinear Schrödinger Equation (T=1.0, N=1024, γ=0.5)

0L2 ErrorHIN-LRI
-0.0085520.0492260.1070040.164782May 6, 2026
Updated 6mo ago

Evaluation results

MethodLinks
HIN-LRITime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050——
HIN-LRITime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050——
HIN-LRITime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0001——
HIN-LRITime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0005——
ULRITime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0007——
ULRITime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0007——
ULRITime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0007——
ULRITime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.001——
HIN-LRITime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.002——
ULRITime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0027——
HIN-LRITime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0082——
ULRITime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0092——
Filtered integratorTime step (τ)=2^-14, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0122——
Filtered integratorTime step (τ)=2^-12, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0128——
Filtered integratorTime step (τ)=2^-10, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0141——
Filtered integratorTime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0172——
Filtered integratorTime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0251——
Filtered integratorTime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.0421——
Strang splittingTime step (τ)=2^-8, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.118——
Strang splittingTime step (τ)=2^-6, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.152——
Strang splittingTime step (τ)=2^-4, Final time (T)=1.0, Number of grid points (N)=1024, Sobolev regularity (γ)=0.52026.050.214——