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The phase flow method
The phase flow method Ordinary differential equations Phase maps Phase flow Interpolation High-frequency wave propagation Geometrical optics Hamiltonian dynamics Ray equations Wave arrival times Eulerian and Lagrangian formulations
2015/7/14
This paper introduces the phase flow method, a novel, accurate and fast approach for constructing phase maps for nonlinear autonomous ordinary differential equations. The method operates by initially ...
Fast geodesics computation with the phase flow method
Geodesics Weighted geodesics Geodesic flow The phase flow method Manifolds Tangent bundles Charts Surface parameterization Spline interpolation
2015/7/14
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface.The idea is to apply the recently developed phase flow method [L. Ying, E.J. Cande `s,...
The Phase Flow Method
The phase flow method ordinary differential equations phase maps phase flow interpolation high-frequency wave propagation geometrical optics Hamiltonian dynamics ray equations wave arrival times Eulerian and Lagrangian formulations
2015/6/17
This paper introduces the phase flow method, a novel, accurate and fast approach for constructing phase maps for nonlinear autonomous ordinary differential equations. The method operates by initially ...
Fast Geodesics Computation with the Phase Flow Method
Geodesics weighted geodesics geodesic flow the phase flow method manifolds tangent bundles charts surface parameterization spline interpolation
2015/6/17
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface. The idea is to apply the recently developed phase flow method [15], an efficient and ...