Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity.
Junqing JiaXiaoqing ChiXiaoyun JiangPublished in: CoRR (2024)
Keyphrases
- error bounds
- high dimensional
- low dimensional
- theoretical analysis
- parameter space
- worst case
- gaussian process latent variable models
- low dimensional manifolds
- dynamic model
- high dimensional spaces
- higher dimensional
- dimensionality reduction
- input space
- discrete fourier transform
- wave equation
- search space
- numerical integration
- fractional order
- nonlinear equations
- highly nonlinear
- nonlinear dynamics
- high dimensional feature space
- high dimension
- data points
- nearest neighbor
- feature space
- high dimensional data
- dynamical systems
- frequency domain
- finite difference
- differential equations
- approximation algorithms
- control system
- kernel space
- high dimensionality
- stochastic differential equations
- high order