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Showing 2011 · math.NAShow all
2 papers · 2 filters
math.NA2011★ 1 cited
Certifying solutions to square systems of polynomial-exponential equations
Jonathan D. Hauenstein, Viktor Levandovskyy
Smale's alpha-theory certifies that Newton iterations will converge quadratically to a solution of a square system of analytic functions based on the Newton residual and all higher…
math.NA2011★ 11 cited
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations
Christoph Koutschan, Christoph Lehrenfeld, Joachim Schoeberl
We consider the numerical discretization of the time-domain Maxwell's equations with an energy-conserving discontinuous Galerkin finite element formulation. This particular formula…