Applied Partial Differential Equations
Boundary value problems; topics on partial differentiation; theory of characteristic curves; partial differential equations of mathematical physics.
Partial Differential Equations: An Introduction, Strauss, 2nd edition, Wiley and Sons.
Chapter 1: Where PDEs Come From
Chapter 2: Waves and Diffusions
Chapter 3: Reflections and Sources
Chapter 4: Boundary Problems
Chapter 5: Fourier Series
Chapter 6: Harmonic Functions
Chapter 7: Green's Identities and Green's Functions
Chapter 8: Computation of Solutions
Chapter 9: Waves in Space
Chapter 10: Boundaries in the Plane and in Space
Chapter 11: General Eigenvalue Problems
(Shen 2020 )