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These results are used to devise an algorithm that generates all non-dominated higher-order cover cuts, and, in particular, to formulate and solve suitable separation problems for deriving a higher-order cut that deletes a given fractional solution to an underlying continuous relaxation.
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Their designs amount to solving suitable optimization problems.
Moreover, a co-design algorithm for solving the suitable filter and the event generator is derived.
We show that such a coordination can be achieved by formulating and solving a suitable bilevel optimization problem that optimizes the references for the inner controllers.
The three-dimensional linear elastodynamics equations, simplified to the case of generalized plane strain deformation in the axial direction, are solved using suitable displacement functions that identically satisfy the boundary conditions.
In mathematical modeling, governing partial differential equations is solved by suitable and powerful methods.
Subsequently, each particular valuation problem can be addressed by solving a suitable BSDE.
Laguerre wavelet expansions together with operational matrix of integration are used to convert the problems into systems of algebraic equations which can be efficiently solved by suitable solvers.
On the other hand, it was noted in [13], for example, that certain solutions of the GNEP (the normalized Nash equilibria, to be defined later) can be found by solving a suitable standard VI associated to the GNEP.
One can adopt analytical models which are appropriate for some specific scenarios to study the influence of different delay components, so that the optimization problem can be solved by suitable algorithms for some restricted conditions.
In fact, the key idea for the two proposed algorithms is to convert the differential equations with their boundary conditions to systems of linear or nonlinear algebraic equations which can be efficiently solved by suitable numerical solvers.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com