The book Numerical Algorithms Without Saturation in Classical Problems of Mathematical Physics, created by the team of authors, is a unique publication that will become a real find for students, graduate students and teachers engaged in mathematical physics and numerical methods. This work not only deepens the understanding of complex physical processes, but also offers readers modern tools for their analysis and modeling. The book focuses on numerical algorithms that are used to solve classical problems of mathematical physics. The authors consider in detail various approaches to numerical modeling, focusing on algorithms that are not susceptible to saturation. This means that the proposed methods avoid the loss of accuracy in solving problems, which is especially important in complex physical systems, where the slightest errors can lead to significant distortions of the results. The book will be interesting not only for those who already have experience in mathematical physics, but also for those who are just starting their way in this field. It is suitable for senior students, graduate students, as well as for professionals working in scientific and research institutions . If you are interested in physics, mathematics, engineering or computer science, then this publication will be your reliable assistant in mastering numerical methods. The topics raised in the book cover a wide range of issues, ranging from basic concepts of numerical analysis to complex models that are applied in various fields of physics. The authors emphasize the importance of choosing the right algorithms, which in turn affects the quality and accuracy of the results obtained. The book also addresses the issues of sustainability and convergence of methods, making it a valuable resource for anyone seeking a deep understanding of numerical methods. The style of the authors is clear and accessible, which allows readers to easily assimilate complex concepts. Each chapter of the book is illustrated with examples and problems, which helps to consolidate theoretical knowledge in practice. The team of authors includes experts in the field of mathematical physics and numerical methods, which guarantees high quality of the presented material. If you are looking for books that will help you deepen your knowledge in numerical methods and mathematical physics, look for works such as Numerical Methods in Mathematics and Fundamentals of Mathematical Physics. These books can also be useful for broadening your horizons and understanding of current approaches in the field. Numerical algorithms without saturation in classical problems of mathematical physics is not just a textbook, but a whole world in which you immerse yourself, exploring the boundaries of science and technology. It inspires new discoveries and helps to develop critical thinking, which is an integral part of the scientific process. If you are ready for a fascinating journey into the world of numerical algorithms and mathematical physics, this edition will be your faithful companion along the way.