This book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below.

· Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration.

· Mathematical modeling in medical applications.

The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.

Gathers the proceedings of the conference 50 Years of the Development of Grid-Characteristic Method, which was held in Dolgoprudny, Moscow from 31 March to 3 April 2018 Presents a collection of selected research papers from some of the world's leaders in the field of smart system modeling and engineering system design Written by respected experts in the field

Inhalt
Development and Applications of Computational Methods.- The Scientific Way of the Academician Kholodov A.S. Development of a Grid-characteristic Method.- Positive Solutions of Real Homogeneous Algebraic Inequalities.- Numerical Simulation of Tungsten Melting Under Fusion Reactor-relevant High-power Pulsed Heating.- Solution of a Parabolic Optimal Control Problem Using Fictitious Domain Method.- On the Class of Compact Grid-characteristic Schemes.- High-gradient Method for the Solution of First Order Hyperbolic Type Systems with Partial Differential Equations.- 2D Seismic Prospecting of Gas Pockets.- Some Features of Nonequilibrium Flow of the Carbon Dioxide around Blunt Bodies.- Robustness Analysis of Coronary Arteries Segmentation.