Modeling the diffusion of heat energy within composites of homogeneous materials using the uncertainty principle

DOI10.1007/s40314-017-0465-6zbMath1404.65194OpenAlexW612082288MaRDI QIDQ1993560

James V. Lambers, Elyse M. Garon

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://aquila.usm.edu/cgi/viewcontent.cgi?article=1294&context=honors_theses

zbMATH Keywords

heat equationuncertainty principlespectral methodsinterface problem

Mathematics Subject Classification ID

Heat equation (35K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

An improved belief \(\chi^2\) divergence for Dempster-Shafer theory and its applications in pattern recognition ⋮ Diagonalization of 1-D differential operators with piecewise constant coefficients using the uncertainty principle ⋮ Analytic Expressions of the Solutions of Advection-Diffusion Problems in One Dimension with Discontinuous Coefficients

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Approximate diagonalization of variable-coefficient differential operators through similarity transformations
• A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients
• On random walk simulation of one-dimensional diffusion processes with discontinuous coeffi\-cients
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• On support properties of Lsup(p)-functions and their Fourier transforms
• Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods
• Simulating diffusion processes in discontinuous media: a numerical scheme with constant time steps
• The uncertainty principle
• The MATLAB ODE Suite
• Localization of eigenfunctions of a one-dimensional elliptic operator
• Analysis of Wave Propagation in 1D Inhomogeneous Media
• Ramifications, old and new, of the eigenvalue problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Modeling the diffusion of heat energy within composites of homogeneous materials using the uncertainty principle