There are considerations on the problem of time-consuming calculations in this article. This type of computational problems concerns to multiple aspects of earth sciences. Distributed computing allows to perform calculations in reasonable time. This way of processing requires a cluster architecture. The authors propose using Apache Hadoop technology to solve geophysics inversion problem.This so...

We consider numerical solution methods for seismic impedance inversion problems in this paper. The inversion process is ill-posed. To tackle the ill-posedness of the problem and take the sparsity of the reflectivity function into consideration, an l1 norm regularization model is established. In computation, a nonmonotone gradient descent method based on Rayleigh quotient for solving the minimiz...

We present a block structured orthogonal factorization (BSOF) algorithm and its parallelization for computing the inversion of block pcyclic matrices. We aim at the high performance on multicores with GPU accelerators. We provide a quantitative performance model for optimal host-device load balance, and validate the model through numerical tests. Benchmarking results show that the parallel BSOF...

By an inversion symmetry, we show that in the Abelian sandpile model the probability distribution of dissipating waves of topplings that touch the boundary of the system shows a power-law relationship with critical exponent 5/8 and the probability distribution of those dissipating waves that are also last in an avalanche has an exponent of 1. Our extensive numerical simulations not only support...

A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterativ...

The purpose of this document is to summarize main points of the paper, “Numerical Inversion of Laplace Transforms of Probability Distributions”, and provide R code for the Euler method that is described in the paper. The code is used to invert the Laplace transform of some popular functions. Context Laplace transform is a useful mathematical tool that one must be familiar with, while doing appl...

A unified modelling procedure is proposed to jointly interpret the variations observed in geophysical data and to properly take into account the relationship between the intrusive processes and the geophysical variations expected at the ground surface. We focus on the joint inversion of geophysical data by a procedure based on Artificial Neural Network (ANN) for the estimation of the volcanic s...

Many methods for numerically inverting transforms require values of the transform at complex arguments. However, in some applications, the transforms are only characterized implicitly via functional equations. This is illustrated by the busy-period distribution in the M / G / 1 queue. In this paper we provide conditions for iterative methods to converge for complex arguments. Moreover, we show ...

If the chemical guanidine hydrochloride is added to a dividing culture of yeast cells that carry a yeast prion, the proportion of cells that have the prion gradually decreases over time. Stochastic models to describe this process of ‘curing’ have been developed in earlier work. The present paper investigates the use of numerical Laplace inversion methods to calculate curing curves and contrasts...

The aim of the present work is to suggest and establish a numerical algorithm based on matrix multiplications for computing approximate inverses. It is shown theoretically that the scheme possesses seventh-order convergence, and thus it rapidly converges. Some discussions on the choice of the initial value to preserve the convergence rate are given, and it is also shown in numerical examples th...