Gockenbach M.S. Partial Differential Equations. Analytical and Numerical Methods

Springer-Verlag, 2013. - 596 pages. ISBN10: 3642284744 Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all...

CRC, 2003. — 352 p. More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering with Mathematica...

Dover, 1993. - 414 pages. This highly useful text for students and professionals working in the applied sciences shows how to formulate and solve partial differential equations. Realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems and numerical and approximate methods. Suggestions for further reading. Solution guide...

China Machine Press, 2003. — 769 p. Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial...

Second Edition. — CRC Press, 2012. — 1912 pages. New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs...

М.: Физматлит, 2010. — 1024 с. Книга представляет собой критическое изложение как самих методов конечных элементов, так и их приложений в механике твердых тел, гидромеханике, теории фильтрации и теории теплопередачи. После предварительной информации о построении математических моделей приводятся формулировки как линейных, так и нелинейных задач. Метод конечных элементов...