L-1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case Academic Article

abstract

• A new approximation technique based on L 1-minimization is introduced. It is proven that the approximate solution converges to the viscosity solution in the case of one-dimensional stationary Hamilton-Jacobi equation with convex Hamiltonian. 2008 Springer-Verlag.

authors

• Popov, Bojan

published proceedings

• NUMERISCHE MATHEMATIK

author list (cited authors)

• Guermond, J., & Popov, B.

citation count

• 6

complete list of authors

• Guermond, Jean-Luc||Popov, Bojan

publication date

• April 2008

publisher

• Springer Nature  Publisher

published in

• Numerische Mathematik  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00211-008-0142-1

start page

• 269

end page

• 284

volume

• 109

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00211-008-0142-1