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Partial Differential Equations/ Advanced Partial Differential Equations: Home


Welcome to the Partial Differential Equations/ Advanced Partial Differential Equations Subject Guide. This guide will help you research topics related to Partial Differential Equations/ Advanced Partial Differential Equations. Start with the tabs above to find books, articles, websites, and other relevant resources. If you have any questions or need help researching a topic, drop me a line, and I'll try to help you out.

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A World Without Quantum Computers - John Conway Spirited Seminar Series

The lecture will briefly discuss my theory explaining why quantum computers are not possible. I will address the question if Google's Sycamore and other recent experiments falsify my theory, and discuss consequences of my theory to classical philosophical questions of predictability, free will, and reductionism. On the mathematical side, the connection between noise and Fourier expansion will play a role.


Spectral Statistics Of Quantum Graphs

The spectral geometry concerns the relation between the geometric structure of a mathematical object and the spectra (eigenvalues) of differential operators acting on that object. The idea that interactions of systems of entities can be represented in the form of a network has been long-established and researched. One of the most conventional practices in graph theory is to deduce the characteristics and structure from graph’s spectrum.


Numerical Solutions of Some Nonlinear Fractional Flow Problems

Physical models of viscoelastic flow in terms of fractional order derivatives is a fascinating subject, in various fields of engineering, fluid dynamics, quantum computing, etc. The viscoelastic fluid models represent more realistic behavior as compared to the integer order derivatives in fluid dynamics. This is mainly because of the hereditary effects are taken into account by the fractional order models while formulating the flow problems. 


Mathematics Department LUMS

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