Lectures related to Laplace Transforms in Chemistry and Engineering

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Covers the application of finite difference methods to solve partial differential equations.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Explores viscoelastic materials, transforms, and models in materials science.

Introduces the basics and classification of partial differential equations, including notation, definitions, and examples.

Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.

Covers the Laplace and Poisson equations, the heat equation, and the wave equation in physics.

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Covers the basics of Partial Differential Equations, including the Laplace equation, heat equation, and wave equation.

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Explores the maximum principle in harmonic functions and its implications for uniqueness and bounds on solutions.

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.