Classical Methods of Solution of Partial Differential Equations
| Language of instruction | angličtina, čeština |
|---|---|
| Code | 310-4001 |
| Abbreviation | PDR |
| Course title | Classical Methods of Solution of Partial Differential Equations |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | prof. RNDr. Radek Kučera, Ph.D. |
Summary
Fourier series: orthogonal functions, Fourier coefficients, even and odd
functions, convergence of the Fourier series, complex form, solution of second
order linear differential equations.
Partial differential equations: general discussion, first-order and second-
order
partial differential equations (initial and boundary conditions, methods of
solution), second-order linear partial differential equations (method of the
characteristics, method of separation of variables), the wave equation, the
heat-conduction equation, the Laplace equation, Maxwell's equations.
functions, convergence of the Fourier series, complex form, solution of second
order linear differential equations.
Partial differential equations: general discussion, first-order and second-
order
partial differential equations (initial and boundary conditions, methods of
solution), second-order linear partial differential equations (method of the
characteristics, method of separation of variables), the wave equation, the
heat-conduction equation, the Laplace equation, Maxwell's equations.
Literature
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6
Advised literature
Strauss, W.A.: Partial differential equations: an introduction. New York: Wiley, 1992. ISBN 0-471-54868-5