SUBJECT
Title
Partial differential equations
Type of instruction
lecture + practical
Level
master
Faculty
Part of degree program
Credits
4
Recommended in
Semester 2
Typically offered in
Spring semester
Course description
First order linear and quasilinear PDEs.
Second order linear PDEs, classiicaion.
Parabolic and hyperbolic iniial value problems.
Hilbert spaces, Fourier series, linear operators.
Ellipic boundary value problems.
Eigenvalue problems, separaion of variables. Fourier series expansion of the soluion.
Green’s funcion, spherical funcions.
Parabolic and hyperbolic iniial- boundary value problems.
Fourier transform, wavelets.
Readings
- W. A. Strauss, Parial Diferenial Equaions: An Introducion , Wiley, 2007
- Kartunen et al.: Fundamental Astronomy. 5Th ed., Springer, 2003, ISBN 978-3-540-34143-7
- Bradley et al.: Introducion to Modern Astrophysics. 2Nd ed., Benjamin Cummings Publ., 2006, ISBN 978-0805304022