WS-PDE Script

Introduction

• Directional Derivative
• Gradient Points to the direction of Steepest Slope

Integration

• Area Integral
• Line Integral
• Work Integral

Partial Integration

• Gauß Integral Theorem
• Stokes Theorem

Partial Differential Equations

• Boundary Conditions
  • Dirichlet & Neumann Boundary Condition
  • Robin Boundary Condition

Oscillations

• Multi Index Notation
• Classification of PDE’s|Classification of PDE’s

Simple Analytic Solution Techniques

Parabolic Differential Equation without RHS

• Product Ansatz
• Spectral Decomposition

Speed of Sound in the Wave Equation

• D’Alembert’s Formula

Transport Equations and Characteristics

Fundamental Solution and Green’s Function

Fundamental solution of elliptic equations

• Solution to the Wave Equation with Constant Velocity