TY - CHAP AU - Vladyslav Antonovich Litovchenko ED - Bruno Carpentieri Y1 - 2020-12-12 PY - 2020 T1 - Peculiarities of the Fundamental Solution of Parabolic Systems with a Negative Genus N2 - Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics. BT - Recent Developments in the Solution of Nonlinear Differential Equations SP - Ch. 14 UR - https://doi.org/10.5772/intechopen.95024 DO - 10.5772/intechopen.95024 SN - 978-1-83968-657-3 PB - IntechOpen CY - Rijeka Y2 - 2024-04-25 ER -