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Science & Mathematics - Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)

Description

Book Synopsis: An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.

This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Details

Looking for a comprehensive guide to tackling numeric problems? Look no further than "Numerical Solution of Partial Differential Equations by the Finite Element Method"! This Dover Books on Mathematics title is a must-have for anyone interested in computational mathematics. Whether you're an advanced undergraduate or a graduate student, this book will equip you with the necessary skills to solve a wide range of problems. Get ready to unlock the potential of the finite element method!

What sets this book apart is its emphasis on practical applications. It provides clear connections between the finite element method and real-world problems from various scientific and engineering disciplines. You'll find numerous examples that demonstrate the power of this technique in solving elliptic, parabolic, and hyperbolic problems. Not only that, but the book also covers integral equations, nonlinear problems, and cutting-edge developments in automatic time step control.

Don't worry if you're not a math genius – this text is designed to be accessible to a majority of students. The relevant mathematics are explained in non-technical terms whenever possible, ensuring that you can grasp the concepts without getting lost in jargon. With its student-friendly approach, this book offers a solid foundation for learning and implementing the finite element method.

Ready to take your computational mathematics skills to the next level? Don't miss out on this invaluable resource. Grab your copy of "Numerical Solution of Partial Differential Equations by the Finite Element Method" now and start solving complex problems with confidence.

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