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Piyush Grover's user avatar
Piyush Grover's user avatar
Piyush Grover's user avatar
Piyush Grover
  • Member for 11 years, 11 months
  • Last seen more than a week ago
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Approximation of a compactly supported function by Gaussians
Is there a reason why you expect the conjecture to be true ? I believe you may need to put sparsity (like an L1 norm) and/or positivity constrains on weights to get what you want.
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Approximation of a compactly supported function by Gaussians
Are weights constrained to be positive ?
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Deformation gradient conservation law from Lagrangian to Eulerian formulation
The notation is not clear. $v$ is the velocity or volume ? Also, the first equation should read $\frac{\partial F}{\partial t}=\nabla \tilde v. F$
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Numerical methods for IDE
Googling tip: search for non-local differential equations, which is another name for IDEs.
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Doubts related Shifting from Pure to Applied math
Theoretical physics involves applied math, by definition.
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Graph Laplacian Operator
Can you explain the connection of your question with graph laplacian ?
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Heuristic probabilistic argument for the Navier-Stokes existence and smoothness conjecture
yes, 100+ years of experiments agree with NS predictions.
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Solutions of nonlinear equations with multiple parameters
In general, one uses numerical tools, such as Auto, see here: indy.cs.concordia.ca/auto
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Examples of mathematical papers that contain a kind of research report
Not a paper, but Villani's "Birth of a Theorem" does that kind of thing in detail.
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Measure preserving coordinates of $S^2$ from $[0,1]^2$
see gall-peters projection for a commonly used area preserving projection used in geographical maps.
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Non-linear Basis for PDE's
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Non-linear Basis for PDE's
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Non-linear Basis for PDE's
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