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Entropy and Partial Differential Equations

Entropy and Partial Differential Equations

Entropy and Partial Differential Equations

This note covers the following topics: Entropy and equilibrium, Entropy and irreversibility, Continuum thermodynamics, Elliptic and parabolic equations, Conservation laws and kinetic equations, Hamilton–Jacobi and related equations, Entropy and uncertainty, Probability and differential equations.

Author(s):

s213 Pages
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Ordinary Differential Equations by Gabriel Nagy

Ordinary Differential Equations by Gabriel Nagy

This note describes the main ideas to solve certain differential equations, such us first order scalar equations, second order linear equations, and systems of linear equations. It uses power series methods to solve variable coefficients second order linear equations. Also introduces Laplace transform methods to find solutions to constant coefficients equations with generalized source functions.

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Ordinary Differential Equation by Alexander Grigorian

Ordinary Differential Equation by Alexander Grigorian

This note covers the following topics: Notion of ODEs, Linear ODE of 1st order, Second order ODE, Existence and uniqueness theorems, Linear equations and systems, Qualitative analysis of ODEs, Space of solutions of homogeneous systems, Wronskian and the Liouville formula.

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Differential Equations for Engineers

Differential Equations for Engineers

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Ordinary Differential Equations For Engineers

Ordinary Differential Equations For Engineers

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Ordinary Differential Equation Notes by S. Ghorai

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Ordinary Differential Equations Lecture Notes by Eugen J. Ionascu

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A First Course in Elementary Differential Equations

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This lecture note introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications.

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Differential Equations by Paul Selick

Differential Equations by Paul Selick

This note describes the following topics: First Order Ordinary Differential Equations, Applications and Examples of First Order ode’s, Linear Differential Equations, Second Order Linear Equations, Applications of Second Order Differential Equations, Higher Order Linear Differential Equations, Power Series Solutions to Linear Differential Equations, Linear Systems, Existence and Uniqueness Theorems, Numerical Approximations.

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Integral And Differential Equations

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This note covers the following topics: Integral Equations, Ordinary Differential Equations, Partial Differential Equations.

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Linear Differential Equations

Linear Differential Equations

These notes are a concise understanding-based presentation of the basic linear-operator aspects of solving linear differential equations. Topics covered includes: Operators and Linear Combinations, Homogeneous linear equations, Complex Exponentials and Real Homogeneous Linear Equations, Non-homogeneous linear equations and Systems of Linear Differential Equations.

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Entropy and Partial Differential Equations

Entropy and Partial Differential Equations

This note covers the following topics: Entropy and equilibrium, Entropy and irreversibility, Continuum thermodynamics, Elliptic and parabolic equations, Conservation laws and kinetic equations, Hamilton–Jacobi and related equations, Entropy and uncertainty, Probability and differential equations.

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An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations

Currently this section contains no detailed description for the page, will update this page soon.

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Differential Equations (Dawkins P)

Differential Equations (Dawkins P)

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A PDE Primer (Showalter R.E)

A PDE Primer (Showalter R.E)

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