9 citations · 32 across the 12 of their papers we have counts for
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math.NA2017★ 9 cited
High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors
Adi Ditkowski
Typically when a semi-discrete approximation to a partial differential equation (PDE) is constructed a discretization of the spatial operator with a truncation error is derived…
physics.optics2017★ 9 cited
Loss of phase and universality of stochastic interactions between laser beams
Amir Sagiv, Adi Ditkowski, Gadi Fibich
We show that all laser beams gradually lose their initial phase information in nonlinear propagation. Therefore, if two beams travel a sufficiently long distance before interacting…
math.NA2017
Error Inhibiting Block One-Step Schemes for Ordinary Differential Equations
Adi Ditkowski, Sigal Gottlieb
The commonly used one step methods and linear multi-step methods all have a global error that is of the same order as the local truncation error (as defined in \cite{gustafsson1995…