Bertaccini's work in matrix computation devises and
analyzes algorithms
for solving numerical multidimensional problems
arising in science and
engineering.
He
develops and analyzes fast algorithms for solving
large scale systems in
Fast algorithms for complex networks analysis
numerical time integration for evolutionary
partial
differential
equations
image restoration
advection-diffusion-reaction systems from life
sciences
optimization
ordinary differential equations
Applications: Biomedical PDE-based models
(Cochlear models, thermal
ablation of solid tumors), PDE Image restoration
models, Numerical
optimization.
Keywords and phrases: iterative solution of
sparse
linear systems; scientific computing in complex networks;
models in biomedical sciences;
implicit methods for evolutionary partial
differential and fractional equations,
preconditioning for structured and nonstructured
linear systems by
incomplete
factorizations; incomplete factorizations and
trigonometric
approximations
for preconditioning; preconditioners and iterative
methods for shifted
linear
systems; convergence of Krylov-like iterative
methods; solution of
ill-conditioned
linear systems.
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