1. A computer-implemented method for obtaining a real-
time map h(x) of the distribution in a D-dimensional space of a
physical quantity f(x) describing a real phenomenon (1) characterizing a complex and uncertain
system, the
physical quantity f(x) being inaccessible to direct measurements, the method comprising: The
spatial distribution of the
physical quantity f(x) using a set of parameters (s) [Number 104] describing the complex and uncertain
system using a
mathematical model to simulate
JPEG2025537042000106.jpg1423; A particular set of values s n a
library of approximations of the physical quantity f(x) by performing a plurality of simulations through the assignment of [Number 105] Steps to build
JPEG2025537042000107.jpg1471; formula [Number 106] calculating the real-
time map h(x) representing a real-time approximation of the physical quantity f(x) in
JPEG2025537042000108.jpg2667, wherein a n , n=1,...,N is the magnitude of the difference |ν l is an
expansion factor determined by solving a
system of L equations with N unknowns to minimize |, where l=1,...,L, and the difference is [Number 107] JPEG2025537042000109.jpg1397, where x l is a D-dimensional point, [Number 108] JPEG2025537042000110.jpg1241 is a measurement process [Number 109] The
impact on JPEG2025537042000111.jpg1214 l is the value measured at [Number 110] JPEG2025537042000112.jpg1114 is the measurement process for the first measurement involved [Number 111] This is the
mathematical model of JPEG2025537042000113.jpg1113, [Number 112] JPEG2025537042000114.jpg1340 is the
mathematical model applied to the function g [Number 113] JPEG2025537042000115.jpg1312 is point x l , where l=1,...,L is a value that the computer-implemented method is described.