Many problems of mechanics and physics are posed in unbounded or infinite domains. For solving these problems one typically limits them to bounded domains and find ways to set appropriate conditions on artificial boundaries or use quasi-uniform grid that maps unbounded domains to bounded ones. Differently from the above methods we approach to problems in unbounded domains by infinite system of ...

Citation: Reich S and Zaslavski AJ (2015) Generic convergence of infinite products of nonexpansive mappings with unbounded domains. We study the generic convergence of infinite products of nonexpansive mappings with unbounded domains in hyperbolic metric spaces.

Infinite-dimensional optimization (InfiniteOpt) problems involve modeling components (variables, objectives, and constraints) that are functions defined over infinite-dimensional domains. Examples include continuous-time dynamic (time is an infinite domain a function of time), PDE (space time domains space-time), as well stochastic semi-infinite (random space such random space). InfiniteOpt als...

Convex relaxations have been instrumental in solvability of constraint satisfaction problems (CSPs), as well the three different generalisations CSPs: valued CSPs, infinite-domain and most recently promise CSPs. In this work, we extend an existing tractability result to CSPs combined: We give a sufficient condition for combined basic linear programming affine integer relaxation exact over infin...

Infinite product formulae for conformally mapping an unbounded multiply connected circle domain to an unbounded canonical radial or circular slit domain, or to domains with both radial and circular slit boundary components are derived and implemented numerically and graphically. The formulae are generated by analytic continuation with the reflection principle. Convergence of the infinite produc...