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This monograph is devoted to the existence and stability (Ulam–Hyers–Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or ... The tools ...
In addition to his work on electromagnetism, Maxwell also made significant contributions to other areas of physics, including thermodynamics, statistical mechanics, and the kinetic theory of gases.
This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin ...
Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...
We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.
Fierro is a C++ code designed to aid the research and development of numerical methods, testing of user-specified models, and creating multi-scale models related to quasi-static solid mechanics and ...