One-way recursive wavefield extrapolation and migration has many advantages over other wavefield extrapolation methods. The method can handle complex models and is robust. However, the extrapolation of turning waves is one important omission of one-way wavefield extrapolation In this paper a new hybrid approach for the imaging of steep salt flanks is presented: CFP redatuming is used to redatum...

The estimation of unknown signal samples by extrapolation from known data arises in many signal processing applications. In this thesis, a very generic concept for the estimation of unknown signal samples is derived which is referred to as selective extrapolation. Several applications in image and video communications are discussed from the point of view of extrapolation. Unknown areas occurrin...

in this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-archimedean number with $alpha^{-2}neq 3$. using the fixed point method and the direct method, we prove the hyers-ulam stability of the quadratic $alpha$-functional equation (0.1) in non-archimedean banach spaces.

It is shown that the four vector extrapolation methods, minimal polynomial extrapolation, reduced rank extrapolation, modified minimal polynomial extrapolation, and topological epsilon algorithm, when applied to linearly generated vector sequences, are Krylov subspace methods, and are equivalent to some well known conjugate gradient type methods. A unified recursive method that includes the con...

ABSTRACT Modeling the response of soils to liming is important for understanding neutralization reactions and predicting lime residual effects. Models based on simple or quadratic polynomial equations are most used due their simplicity ease fitting; however, they fail reproduce a realistic soil liming, indicating decrease in pH as dose increased after reaching maximum point. Thus, several nonli...

Two-dimensional (2-D) spatially varying convolutional filters for three-dimensional (3-D) depth extrapolation are efficiently designed and implemented by using McClellan transformations. Although efficient, McClellan transformations only approximate circularly symmetric depth extrapolation filters. The accuracy of the extrapolation filters can be increased only at an increase in the computation...

Correctly propagating waves from overhanging reflectors is crucial for imaging in complex geology. This type of reflections are difficult or impossible to use in imaging using one-way downward continuation, because they violate an intrinsic assumption of this imaging method, i.e. vertical upward propagation of reflection data. Riemannian wavefield extrapolation is one of the techniques develope...

A priori interconnect prediction and technology extrapolation are closely intertwined. Interconnect predictions are at the core of technology extrapolation models of achievable system power, area density and speed. Technology extrapolation, in turn, informs a priori interconnect prediction via models of interconnect technology and interconnect optimizations. In this paper, we address the linkag...

Extrapolation methods can be used to accelerate the convergence of vector sequences. It is shown how three di erent extrapolation algorithms, the minimal polynomial extrapolation (MPE), the reduced rank extrapolation (RRE) and the modi ed minimal polynomial extrapolation (MMPE), can be used to solve systems of linear equations. The algorithms are derived and equivalence to di erent Krylov subsp...