burger_eqn.json: Example data related to the Burger Equation. wave_eqn.json: Example data related to the Wave Equation. To run the project, you can use the example notebooks in the src\solver ...

It has been shown by Novikov [Funct. Anal. Appl. 8, 236 (1974)], Dubrovin e t a l. [Russian Math. Surveys 31, 59 (1976)], Lax [Commun. Pure Appl. Math. 28, 141 (1975)], McKean and van Moerbeke [Inv.

Abstract: This paper mainly discusses the application of multivariate Gaussian measure to KdV and Burgers equation. This paper used generalized polynomial chaos expansion (PCE) method and constructed ...

Kernel-based methods, including Gaussian process regression (GPR) and generally kernel ridge regression, have been finding increasing use in computational chemistry, including the fitting of potential ...

Many approximate solutions of the time-dependent Schrödinger equation can be formulated as exact solutions of a nonlinear Schrödinger equation with an effective Hamiltonian operator depending on the ...

Migration methods are fundamental to seismic imaging. Generally, seismic migration imaging methods can be categorized in pre-stack and post-stack techniques that are based on either wave-equation or ...

Abstract: This paper proposes multi-target filtering algorithms in which target dynamics are given in continuous time and measurements are obtained at discrete time instants. In particular, targets ...

A comparison between a non-Gaussian puff model and an advanced time-dependent model to simulate the pollutant dispersion in the Planetary Boundary Layer is presented. The puff model is based on a ...