Nonlinear Ordinary Differential Equations

A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs.- Analytical Approximation Methods.- Further Analytical Approximation Methods and Some Applications.- Nonlinear Two-Point Boundary Value Problems.- Numerical Treatment of Parameterized Two-Point Boundary Value Problems.

MARTIN HERMANN is professor of numerical mathematics at the Friedrich Schiller University (FSU) Jena, Germany. His activities and research interests are in the field of scientific computing and numerical analysis of nonlinear parameter-dependent ordinary differential equations (ODEs). He is also the founder of the Interdisciplinary Centre for Scientific Computing (1999), where scientists of different faculties at the FSU Jena work together in the fields of applied mathematics, computer sciences and applications. Since 2003, he has headed an international collaborative project with the Institute of Mathematics at the National Academy of Sciences Kiev (Ukraine), studying, for example, the sloshing of liquids in tanks. Since 2003, Dr. Hermann has been a curator at the Collegium Europaeum Jenense of the FSU Jena (CEJ) and the first chairman of the Friends of the CEJ. In addition to his professional activities, he volunteers in various organizations and associations. In German-speaking countries, his books Numerical Mathematics and Numerical Treatment of ODEs: Initial and Boundary Value Problems count among the standard works on numerical analysis. He has also produced over 70 articles for refereed journals.

MASOUD SARAVI is professor of mathematics at the Shomal University, Iran. His research interests include the numerical solution of ordinary differential equations (ODEs), partial differential equations (PDEs), integral equations, differential algebraic equations (DAE) and spectral methods. In addition to publishing several papers with his German colleagues, Dr. Saravi has published more than 15 successful titles on mathematics. The immense popularity of his books is a reflection of his more than 20 years of educational experience, and a result of his accessible writing style, as well as a broad coverage of well laid-out and easy-to-follow subjects. He has recently retired from Azad University and cooperates with Shomal University and is working

"Nonlinear problems in science and engineering are often modeled by nonlinear ordinary differential equations (ODEs) and this book comprises a well-chosen selection of analytical and numerical methods of solving such equations. ... the writing style is appropriate for a textbook for graduate students. The mathematical rigorous presentation includes many example ODEs and their analytical, approximate or numerical solution, which makes an interesting read for all interested in solving nonlinear problems." (Gudula Rünger, zbMATH 1361.34001, 2017)