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Partial Differential Equations and the Method of Characteristics

Author: James V. Herod
Url: http://www.mathphysics.com/pde/herod.html
Format: Html
Year: 1995
Category: PDE
Clicks: 3004

Contents: 1. Introduction to a Theme 2. PDE's Using ODE's 3. A Changing Population Hetrogeneous in Age 4. Stepping Up The Dimension 5. Complications: Nonlinear Equations 6. Shock in Traffic Flow 7. Finding the Direction for Shock Curves 8. Complications: Initial Geometry 9. Connections with the Geometry: 10. Language and Classification 11. Standard Forms 12. Translation Solutions for Constant Coefficient Equations 13. Hyperbolic, Second Order PDE's with Variable Coefficients 14. D'Alembert's Solution for the Wave Equation 15. Variations on the Wave Equation 16. D'Alembert's Solution on an Interval 17. Uniqueness: Alternate Methods, Same Solutions 18. Connections with the Geometry: From Surfaces to Equations 19. Second Order Equations as First Order Systems 20. The Domain of Dependence 21. Factorization 22. PDE's and Special ODE's 23. The Riemann Method.

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