# Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws

@article{Chandramouli2022TimedependentDR, title={Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws}, author={Sathyanarayanan Chandramouli and Aseel Farhat and Ziad H Musslimani}, journal={Nonlinearity}, year={2022}, volume={35}, pages={1286 - 1310} }

The time dependent spectral renormalization (TDSR) method was introduced by Cole and Musslimani as a novel way to numerically solve initial boundary value problems. An important and novel aspect of the TDSR scheme is its ability to incorporate physics in the form of conservation laws or dissipation rate equations. However, the method was limited to include a single conserved or dissipative quantity. The present work significantly extends the computational features of the method with the (i…

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Abundant stable wave structures for the nonlinear propagation of dislocations in crystals, phase differences across Josephson junctions

- PhysicsJournal of Ocean Engineering and Science
- 2022

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