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1
Introduction
2
What is an inverse problem
3
Inverse problem examples
4
Multiscale structure
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Newtonsecond law
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Why I care
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Quantum dynamics
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Numerical simulation
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Medical imaging vs diffusion equation
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Particle duality
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Light as waves
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Inverse problem
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Conclusion
Description:
Explore a comprehensive lecture on multiscale inverse problems spanning quantum to classical scales. Delve into the connections between inverse Schroedinger, Newton's second law, Boltzmann, and diffusion equations. Examine how these seemingly distinct problems are fundamentally linked across different scales of the universe. Gain insights into the mathematical foundations of inverse problems and their applications in various fields, from quantum mechanics to medical imaging. Discover the importance of multiscale approaches in understanding complex systems and solving real-world problems.

Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM)
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