9 problems

The weakly compressible smoothed-particle hydrodynamics method uses a weakly compressible assumption, and training data for its density field are projected into latent spaces. The…

Implementation conjecture. We conjecture that more sophisticated implementation of the shape derivatives might reduce the gap between the two methods.

Consider reduced-order approximations of seismic wave solutions, with accuracy measured by the convergence rate of the approximation error as the reduced basis is enriched. High-fr…

Consider reduced-basis approximations of seismic wave solutions and their frequency-domain seismogram outputs. Correlation conjecture. The correlation between the seismograms and t…

The reduced-order model (ROM) is constructed using proper orthogonal decomposition and reduced-basis methods for seismic wave propagation, with seismograms as the observed outputs…

The authors consider an adaptive localized model order reduction framework for approximating solutions of parametrized multi- and large-scale problems. It combines localized traini…

The mapping $\Phi$ is obtained by minimizing an objective function for the registration problem, and higher-order derivatives means derivatives of order greater than one included i…

Let $r_n$ be an RKFIT rational approximant that admits a continued fraction form … In the conversion of $r_n$ to continued fraction form, an unlucky breakdown may potentially occur…

Consider an LTI system with piecewise constant input and zero initial state. Choose Laguerre polynomials; Legendre polynomials with odd reduced order; Chebychev polynomials of the…