A numerical method of estimation of the ruin probability in a simple model

1995 ◽  
Vol 17 (1) ◽  
pp. 63 ◽  
Author(s):  
M.A. Usábel
Author(s):  
Lawrence K. Forbes ◽  
Anthony M. Watts ◽  
Graeme A. Chandler

AbstractA simple model for underground mineral leaching is considered, in which liquor is injected into the rock at one point and retrieved from the rock by being pumped out at another point. In its passage through the rock, the liquor dissolves some of the ore of interest, and this is therefore recovered in solution. When the injection and recovery points lie on a vertical line, the region of wetted rock forms an axi-symmetric plume, the surface of which is a free boundary. We present an accurate numerical method for the solution of the problem, and obtain estimates for the maximum possible recovery rate of the liquor, as a fraction of the injected flow rate. Limiting cases are discussed, and other geometries for fluid recovery are considered.


1981 ◽  
Vol 67 (11) ◽  
pp. 1972-1980 ◽  
Author(s):  
Koichi HANASAKI ◽  
Jun-ichi KOKADO ◽  
Natsuo HATTA

2017 ◽  
Vol 9 (4) ◽  
pp. 78
Author(s):  
HASSANE GANDA Rabi ◽  
HAMIDOU Haoua ◽  
SALEY Bisso

We are interested this paper in the  modeling and numerical simulation of sand dune formation (on the effect of wind). We propose a simple model which will be approached by a classical numerical method in order to verify validity of our model to describe the phenomena of dune formation. Some numerical solutions of dune evolution and approximation error table are presented to verify that the simplified model is adopted to study the formation of sand dunes.


2012 ◽  
Author(s):  
Alexander Medvinsky ◽  
Alexey Rusakov
Keyword(s):  

2011 ◽  
Author(s):  
Riley E. Splittstoesser ◽  
Greg G. Knapik ◽  
William S. Marras
Keyword(s):  

1976 ◽  
Vol 37 (2) ◽  
pp. 149-158 ◽  
Author(s):  
A.K. Bhattacharjee ◽  
B. Caroli ◽  
D. Saint-James
Keyword(s):  

1980 ◽  
Vol 19 (01) ◽  
pp. 11-15
Author(s):  
G. Roncari ◽  
L. Rapisardi ◽  
L. Conte ◽  
G. Pedroli

A simple model for the study of bone calcium metabolism is proposed. It describes the kinetics of a radioactive tracer in terms of an open single compartment system with an expanding volume for a finite period of time. In addition to the simplicity of the hypotheses introduced, the model is able to give a good description of the biological processes which regulate calcium kinetics. Moreover the functional parameters can be easily calculated, even just graphically. 15 normal subjects and 22 patients affected by various bone diseases were studied. The results were compared with those obtained by using the model proposed by Burkinshaw et al. and the method described by Reeve et al.


Sign in / Sign up

Export Citation Format

Share Document