Ulaanbaatar, October 15, 2025 /MONTSAME/. The research of Mongolian mathematicians has been published by Springer Nature, one of the world’s leading academic publishers.

The research supports the development of mathematical models that require large-scale computation, with applications in fields such as mining, meteorology, and economics.

The contributions of Mongolian mathematicians and physicists are recognized internationally and are being applied in practice. The joint publication titled New Theories, Directions, and Applications of Modern Computational Mathematics, authored by:

• Academician and Zhanlav Tugal, Ph.D., of the Institute of Mathematics and Numerical Technologies at the Mongolian Academy of Sciences
• Academician Chuluunbaatar Ochbadrakh, of the same Institute and the Joint Institute for Nuclear Research of the Russian Federation
• Mijiddorj Renchin-Ochir. Sc.D., associate professor at the Department of Informatics, Mongolian National University of Education;
• Ulziibayar Vandandoo, Ph.D., and Vice rector of Mongolian University of Science and Technology, has made a significant contribution to the field. Their work is being cited by researchers globally.

The research, published in 2024 by Springer Nature, presents a comprehensive new theory of iterative methods for solving nonlinear equations and systems. It is now available in 159 academic libraries worldwide.

Another publication, featuring new finite element methods and high-order convergence differential equations, was also released by Springer Nature and has been archived in 84 international academic libraries.

Since 2013, the scholars have published 106 articles in prestigious international journals, which have been cited 1,403 times – an achievement that reflects the global standing of Mongolian science.

The high-order convergence multi-step methods and algorithms developed by the scholars are designed to solve large systems of algebraic and differential equations involving extensive datasets. Their local spline techniques are particularly effective for forecasting monthly and annual trends in meteorology and oceanography, as well as for constructing continuous models and curved surfaces based on experimental data across various scientific disciplines. These methods significantly improve computational efficiency, reducing calculation time and enhancing accuracy.

The research conducted by Mongolian mathematicians offers both theoretical insight and practical utility. Their advancements in computational methods have led to faster processing, reduced calculation time, and improved accuracy for delivering measurable results in key sectors.