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Download PDF Solving ODEs with Matlab: Instructor’s Manua by L.F. Shampine

Posted by Harapan Posted on 01.28 with No comments

Content

  1. Getting Started
  2. Existence, Uniqueness, and Well-Posedness
  3. Standard Form
  4. Control of the Error
  5. Qualitative Properties
  6. Initial Value Problems
  7. Numerical Methods for IVPs
  8. One–Step Methods
  9. Local Error Estimation
  10. Runge–Kutta Methods
  11. Explicit Runge–Kutta Formulas
  12. Continuous Extension
  13. Methods with Memory
  14. Adams Methods
  15. BDF methods
  16. Error Estimation and Change of Order
  17. Continuous Extensions
  18. Solving IVPs in Matlab
  19. Event Location
  20. ODEs Involving a Mass Matrix
  21. Large Systems and the Method of Lines
  22. Singularities
  23. Boundary Value Problems
  24. Boundary Conditions
  25. Boundary Conditions at Singular Points
  26. Boundary Conditions at Infinity
  27. Numerical Methods for BVPs
  28. Solving BVPs in Matlab
  29. Delay Differential Equations
  30. Numerical Methods for DDEs
  31. Solving DDEs in Matlab
  32. Other Kinds of DDEs and Software

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