[BUCH][B] Parametric interval algebraic systems

I Skalna - 2018 - Springer
Computer science (CS) has many areas, including numerical analysis (NA) that creates,
analyzes, and implements algorithms. One of the main goals of numerical analysis is to …

Solving linear systems with polynomial parameter dependency with application to the verified solution of problems in structural mechanics

J Garloff, ED Popova, AP Smith - Optimization, simulation, and control, 2012 - Springer
We give a short survey on methods for the enclosure of the solution set of a system of linear
equations where the coefficients of the matrix and the right hand side depend on parameters …

[HTML][HTML] Dynamic Analysis of Beams with Interval Parameters

VRR Mallela, JR Kodukula - Modelling, 2024 - mdpi.com
The present study deals with the transient interval analysis of a shallow beam having
uncertainty in structural parameters viz. mass density and applied load. It is quite difficult to …

Solving fully fuzzy nonlinear eigenvalue problems of damped spring-mass structural systems using novel fuzzy-affine approach

S Chakraverty - Computer Modeling in Engineering & Sciences, 2019 - ingentaconnect.com
The dynamic analysis of damped structural system by using finite element method leads to
nonlinear eigenvalue problem (NEP)(particularly, quadratic eigenvalue problem). In …

Enclosure for the solution set of parametric linear systems with non-affine dependencies

I Skalna - Parallel Processing and Applied Mathematics: 9th …, 2012 - Springer
The problem of solving linear systems whose coefficients are nonlinear functions of
parameters varying within prescribed intervals is investigated. A new method for outer …

Affine approach to solve nonlinear eigenvalue problems of structures with uncertain parameters

S Rout, S Chakraverty - Recent Trends in Wave Mechanics and Vibrations …, 2020 - Springer
Various science and engineering problems involve uncertainty with respect to parameters
due to different causes. The uncertain parameters may be contemplated as closed intervals …

Affine‐Contractor Approach to Handle Nonlinear Dynamical Problems in Uncertain Environment

NR Mahato, S Rout… - Mathematical Methods in …, 2020 - Wiley Online Library
Nonlinear dynamical problems form backbone in several fields of science and engineering,
viz., structural mechanics, fluid dynamics, control theory, robotics, seismology, circuit …

Fuzzy-Affine Approach in Dynamic Analysis of Uncertain Structural Systems

S Rout, S Chakraverty - Soft Computing in Interdisciplinary Sciences, 2022 - Springer
The dynamic analysis of a structural system with different material and geometric properties
leads to linear eigenvalue problem such as generalized (or standard) eigenvalue problem …

Affine approach in solving linear structural dynamic problems with uncertain parameters

S Rout, S Chakraverty - New Paradigms in Computational Modeling and Its …, 2021 - Elsevier
The present chapter proposes an affine approach for computing the linear structural
dynamic problems having uncertain and nonprobabilistic model parameters with the help of …

SimuTools-Split and merge strategies for solving uncertain equations using affine arithmetic

O Scharf, M Olbrich, E Barke - inis 16 (9), 2015 - repo.uni-hannover.de
The behaviour of systems is determined by various parameters. Due to several reasons like
eg manufacturing tolerances these parameters can have some uncertainties. Corner Case …