Theoretical and practical bases of application of parallel computing when solving problems of the numerical method in the educational process

Relevance. The rapid development of the information society highlights the need for high-quality training of computer specialists in Kazakhstan's higher education institutions. Establishing a modern system for teaching numerical methods and parallel computing is crucial for preparing future specialists to be competitive in the evolving labor market. Purpose. The research aims to justify the need for a methodological system to develop the readiness of future computer specialists in Kazakhstan's higher education institutions. This system is essential for ensuring their ability to use parallel computing to solve numerical methods problems. Methodology. The study involved analysing, comparing, systematising, classifying, and generalising theoretical data, as well as using questionnaires to evaluate opinions on the research level and the significance of the problems studied. The practical stage included preparing and implementing experiment materials, and evaluating results using mathematical statistics to verify the relevance of the author's methodology. Results. During the experiment the content of the concepts �willingness of the future specialist to use parallel computing in solving problems of numerical methods�, �hardware technologies of software computing�, and �software technologies of parallel computing� is defined. The signs and features of developing future specialists' willingness to use parallel computing in solving numerical methods problems are revealed. A methodology for this development was created and implemented. During experimental research at Nazarbayev University (Astana), a methodological toolkit was developed to enhance specialists' readiness for parallel computing. This toolkit includes the implementation of components, criteria, and indicators of readiness, along with selected methods for their development. Conclusions. The research results identify key areas for improving the methodology for developing future specialists' readiness to apply parallel computing in solving numerical methods problems. This involves enhancing the components of students' willingness to engage in such activities. The practical value of the work lies in the creation of a methodological system to improve the training of students and future computer technology specialists in Kazakhstan's higher education institutions. Keywords: informatisation of society; computer technologies; engineering education; professional training; methodological tools