Abstract: Most depth extrapolation schemes are based on a one-way wave equation, which possesses limited ability to provide the true amplitude values of reflectors that are highly important for ...

High order and high efficiency numerical computation for partial differential equations is very important in many scientific and engineering modeling problems. Compared to low order (second order) ...

1 Department of Computer Science and Information Systems, University of Wisconsin River Falls, River Falls, WI, USA. 2 Department of Mathematics, Statistics and Computer Science, University of ...

Ndpolator is a combined interpolator/extrapolator that operates on sparse (incompletely populated) $n$-dimensional grids. It estimates scalar or vector function ...

Deep learning inspired by differential equations is a recent research trend and has marked the state of the art performance for many machine learning tasks. Among them, time-series modeling with ...

• Four novel high-order Pade numerical methods for the sine-Gordon equation. • Richardson extrapolation in time is used to increase the order of accuracy. • High-order methods are more cost-effective ...

In this paper a recently proposed lattice approach to the solution of boundary-layer problems is applied to the one-turning-point WKB problem. The introduction of the lattice converts the ...