Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many natural phenomena which occur in the realm of visual computing and computational physics, like the dynamics of cloth, fibers, fluids, and solids as ll as collision scenarios are described by stiff Hamiltonian equations of motion, i.e. differential equations whose solution spectra simultaneously contain extremely high and low frequencies. This usually impedes the development of physically accurate and at the same time efficient integration algorithms.  present a straightforward computationally oriented introduction to advanced concepts from classical mechanics.  provide an easy to understand step-by-step introduction from variational principles over the Euler-Lagrange formalism and the Legendre transformation to Hamiltonian mechanics. Based on such solid theoretical foundations,  study the underlying geometric structure of Hamiltonian systems as ll as their discrete counterparts in order to develop sophisticated structure preserving integration algorithms to efficiently perform high fidelity simulations.
['Dominik Ludewig Michels', 'J. Paul T. Mueller']
I am writing a research paper on a idea Discrete computational mechanics for stiff phenomena
[{"from": "human", "value": "I am writing a research paper on a idea Discrete computational mechanics for stiff phenomena"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many natural phenomena which occur in the realm of visual computing and computational physics, like the dynamics of cloth, fibers, fluids, and solids as ll as collision scenarios are described by stiff Hamiltonian equations of motion, i.e. differential equations whose solution spectra simultaneously contain extremely high and low frequencies. This usually impedes the development of physically accurate and at the same time efficient integration algorithms.  present a straightforward computationally oriented introduction to advanced concepts from classical mechanics.  provide an easy to understand step-by-step introduction from variational principles over the Euler-Lagrange formalism and the Legendre transformation to Hamiltonian mechanics. Based on such solid theoretical foundations,  study the underlying geometric structure of Hamiltonian systems as ll as their discrete counterparts in order to develop sophisticated structure preserving integration algorithms to efficiently perform high fidelity simulations."}]