Results 51 to 60 of about 1,574 (222)
Abstract Sediment transport in rivers and channels can be understood as a diffusive phenomenon, where sediment particles separate as they move downstream. This diffusive behavior can be Fickian or anomalous (superdiffusive, subdiffusive, ballistic, etc.), depending on the time evolution of the sediment displacement variance.
Christian González +5 more
wiley +1 more source
Bernstein spectral method for quasinormal modes and other eigenvalue problems
Spectral methods are now common in the solution of ordinary differential eigenvalue problems in a wide variety of fields, such as in the computation of black hole quasinormal modes.
Sean Fortuna, Ian Vega
doaj +1 more source
On Numerical Approximations of the Koopman Operator
We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis.
Igor Mezić
doaj +1 more source
WELL-CONDITIONED PSEUDOSPECTRAL OPTIMAL CONTROL METHODS AND THEIR APPLICATIONS [PDF]
Pseudospectral optimal control is an established discipline with flight-proven results. Aerospace applications have included the implementation of minimum-time and zero-propellant maneuvers on high-value space assets. Standard pseudospectral methods have
Koeppen, Nicholas R.
core
Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials [PDF]
Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived. The generalization is based on a modification of pseudospectral matrix representations of linear differential operators proposed in ...
Oksana Bihun, Clark Mourning
openaire +4 more sources
Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory
ABSTRACT Reliable and efficient computation of the pseudospectral abscissa in the large‐scale setting is still not settled. Unlike the small‐scale setting where there are globally convergent criss‐cross algorithms, all algorithms in the large‐scale setting proposed to date are at best locally convergent.
Waqar Ahmed, Emre Mengi
wiley +1 more source
Abstract We investigate how a topographic slope impacts eddy diffusivities in a two‐layer quasi‐geostrophic model. There are asymmetric effects of retrograde slopes, where the layer interface and the topography tilt in the same direction, and prograde slopes, where the interface and topography tilt in opposite directions.
Miriam F. Sterl +4 more
wiley +1 more source
It is remarkably known that one of the difficulties encountered in a numerical method for hyperbolic heat conduction equation is the numerical oscillation within the vicinity of jump discontinuities at the wave front.
Suazlan Mt Aznam, M.S.H. Chowdhury
doaj +1 more source
The main purpose of this work is to provide new fractional pseudospectral methods for solving fractional optimal control problems (FOCPs). We develop differential and integral fractional pseudospectral methods and prove the equivalence between them from ...
Yang Shi +5 more
core +1 more source
Estimating Bottom Topography in Shallow Water Flows
Abstract We present two methods to estimate bottom topography in a shallow water flow using only surface deformation measurements. One is based on Physics‐Informed Neural Networks (PINNs) and the other on the Adjoint State Method. We test both methods using synthetic data in 1D and 2D cases. Both are able to successfully reconstruct not only the bottom
L. Pancotto, P. Clark Di Leoni
wiley +1 more source

