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Titlebook: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications; In Honor of Professo Oleg P. Iliev,Svetoz

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Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I,ms in real arithmetics, in linearized forms of the Cahn–Hilliard diffusive phase-field differential equation model and in constrained partial differential equations with distributed control. It is shown how an efficient preconditioner can be constructed which, under certain conditions, has a resulti
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A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition,se naturally when physical phenomena are affected by geometric boundary forces, such as the evolution of liquid drops subject to surface tension. The resulting operators are sums of interior and boundary terms weighted by parameters. We investigate the behavior of multigrid algorithms suited to this
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Multidimensional Sensitivity Analysis of Large-Scale Mathematical Models, the input data. The models are described as a system of partial differential equations. Often such systems contain a large number of input parameters. Obviously, it is important to know how sensitive is the solution to some uncontrolled variations or uncertainties in the input parameters of the mod
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