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Exploring ODEs

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Description:Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration. 1. Introduction; 2. First-order scalar linear ODEs; 3. First-order scalar nonlinear ODEs; 4. Second-order equations and damped oscillations; 5. Boundary-value problems; 6. Eigenvalues of linear BVPs; 7. Variable coefficients and adjoints; 8. Resonance; 9. Second-order equations in the phase plane; 10. Systems of equations 11. The fundamental existence theorem; 12. Random functions and random ODEs; 13. Chaos; 14. Linear systems and linearization; 15. Stable and unstable fixed points; 16. Multiple solutions of nonlinear BVPs; 17. Bifurcation; 18. Continuation and path-following; 19. Periodic ODEs; 20. Boundary and interior layers; 21. Into the complex plane; 22. Time-dependent PDEs; Appendix Chebfun and its ODE algorithms; Appendix 100 more examples.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Exploring ODEs. To get started finding Exploring ODEs, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 330

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 1611975158

Description: Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration. 1. Introduction; 2. First-order scalar linear ODEs; 3. First-order scalar nonlinear ODEs; 4. Second-order equations and damped oscillations; 5. Boundary-value problems; 6. Eigenvalues of linear BVPs; 7. Variable coefficients and adjoints; 8. Resonance; 9. Second-order equations in the phase plane; 10. Systems of equations 11. The fundamental existence theorem; 12. Random functions and random ODEs; 13. Chaos; 14. Linear systems and linearization; 15. Stable and unstable fixed points; 16. Multiple solutions of nonlinear BVPs; 17. Bifurcation; 18. Continuation and path-following; 19. Periodic ODEs; 20. Boundary and interior layers; 21. Into the complex plane; 22. Time-dependent PDEs; Appendix Chebfun and its ODE algorithms; Appendix 100 more examples.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Exploring ODEs. To get started finding Exploring ODEs, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Exploring ODEs

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