paper is devoted to the study of inverse problems of finding, together with a solution u(x, t) of the diffusion equation $${u_t} - \\Delta u + [c(x,t) + a{q_0}(x,t)]u = f(x,t),$$ the parameter a characterizing absorption (c(x,t) and q0(x,t) are given functions...
python heat_sink_inverse.py You can monitor the Tensorboard plots to see the convergence of the simulation. The Tensorboard graphs should look similar to the ones shown inFig. 77. Table 3Comparison of the inverted coefficients with the actual values ...
Ch 1. Graphing and Functions Function in Math | Definition & Examples 7:57 Graphing Basic Functions 8:01 Compounding Functions and Graphing Functions of Functions 7:47 Inverse Function | Graph & Examples 7:31 Polynomial Functions: Properties and Factoring 7:45 Polynomial Functions: Exponenti...
We can rewrite these equations by using the inverse function F−1XFX−1 as xl=F−1X(α2),andxh=F−1X(1−α2).xl=FX−1(α2),andxh=FX−1(1−α2). We call the interval [xl,xh][xl,xh] a (1−α1−α) interval for XX. Figure 8.2 shows the values of xl...
Problems in Extremal Combinatorics and Connections 02:06:41 Chow Functions for Partially Ordered Sets - Luis Ferroni 01:45:29 Cosmology from the First Year DESI BAO Measurements - Kyle Dawson 01:02:23 Linear Stability of the Brunn-Minkowski Inequality 01:57:45 Local-to-global Theorems On...
The paper is closed by 2D as well as 3D numerical examples that clearly illustrates that the method is able to find optimal solutions for inverse motion finite strain topology optimization problems. Introduction Structural optimization has evolved rapidly over the past decades and the methods are ...
Given a linear system of equations with coefficients infor some fixed primep, what is the largest size of a subsetwhich does not contain a (non-trivial) solution to the given linear system of equations? This is a fundamental question in additive combinatorics, and it can be viewed as the ...
Probabilistic bridge weigh-in-motion (pBWIM) is an approach for solving the inverse problem of finding vehicle axle weights based on deformation information. The pBWIM approach uses a probabilistic influence line and seeks the most probable axle weights, given in situ measurements. To compute such...
Important matrix-valued functions f(A) are, for example, the inverse A−1, the (principal) square root , and the matrix sign function. Their evaluation for large matrices arising from partial differential equations or integral equations (e.g., resulting from wavelet-like methods) is not an...
This paper focuses on the case in which A and B are defined with their black-box support functions. An algorithm for solving such problems efficiently is suggested. The algorithm has a superlinear convergence rate, and it can solve hundred-dimensional test problems in a reasonable time, but ...