Bogayenko V. Three-dimensional incomplete data problems automation

Problems of development of numerical-analytical algorithms and software for solving direct and inverse three-dimensional problems of mathematical physics with incomplete data have been studied in the dissertation. Set of mean-square solution functions for boundary and control problems has been built using pseudoinversion. Accuracy and uniqueness criterions have been built for researched systems solutions. Sequential and parallel numerical-analytical algorithms have been developed and implemented. Pre-and postprocessing subsystem has been created. Keywords: elliptic equations, Green function, direct and inverse problems, pseudoinversion, parallel algorithms,software.