Background
Polyanin, Andrei Dmitrievich was born on November 1, 1951 in Beijing, China. Son of Dmitry Vasilievich and Mariya Nikolaevna (Shurova) Polyanin.
(This reference presents more than 700 new discrete-group ...)
This reference presents more than 700 new discrete-group methods for analyzing ordinary differential equations, including the discrete groups of transformations of the Abel equation, the Emden-Fowler equation, homogenous equation in the extended sense, and the Liennar equation. Several tables representing 400 concrete differential equations and their solutions are presented as well.
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(Exact solutions of differential equations continue to pla...)
Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including: • An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations • The addition of solutions to more than 1200 nonlinear equations • An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily • Expansion of the supplement on special functions This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.
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(This book contains about 3000 first-order partial differe...)
This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.
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(Unparalleled in scope compared to the literature currentl...)
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor. New to the Second Edition • New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions • More than 400 new equations with exact solutions • New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs • Additional examples for illustrative purposes To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.
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Polyanin, Andrei Dmitrievich was born on November 1, 1951 in Beijing, China. Son of Dmitry Vasilievich and Mariya Nikolaevna (Shurova) Polyanin.
Master of Science, Moscow State University, 1974. Doctor of Philosophy, Institute for Problems in Mechanics, Russian Academy of Sciences, 1981. Doctor of Science, Institute for Problems in Mechanics, Russian Academy of Sciences, 1986.
Trial researcher, Institute Problems in Mechanics/Russian Academy Science, 1975-1976; junior researcher, Institute Problems in Mechanics/Russian Academy Science, 1976-1981; researcher, Institute Problems in Mechanics/Russian Academy Science, 1981-1986; senior researcher, Institute Problems in Mechanics/Russian Academy Science, 1987-1992; professor, Institute Problems in Mechanics/Russian Academy Science, since 1992. Professor Institute General Inorganic Chemistry/Russian Academy Sciences, since 1997. Editor book series Overseas Publication Association, Amsterdam, since 1998.
(Exact solutions of differential equations continue to pla...)
(This reference presents more than 700 new discrete-group ...)
(Unparalleled in scope compared to the literature currentl...)
(This book contains about 3000 first-order partial differe...)
Member Central House for Scientists.
Married Anna Aleksandrovna Melnikova, April 29, 1978 (divorced March 1995). 1 child, Dmitry Andreevich. Married Tatyana Alekseevna Koptelova, May 20, 1995.