The increasing complexity of today's technology demands that mathematicians, engineers and scientists now understand this previously narrowly-specialized subject. This study guide and reference aims to answer all the questions most frequently asked by students and practicing professionals. For this reason, the level of the material ranges from the relatively elementary and practical to the more advanced and theoretical.
Table of contents:
Introduction. Classification and Characteristics. Qualitative Behavior of Solutions to Elliptic Equations. Qualitative Behavior of Solutions to Evolution Equations. First-Order Equations. Eigenfunction Expansions and Integral Transforms: Theory. Eigenfunction Expansions and Integral Transforms: Applications. Green's Functions. Difference Methods for Parabolic Equations. Difference and Characteristic Methods for Parabolic Equations. Difference Methods for Hyperbolic Equations. Difference Methods for Elliptic Equations. Variational Formulation of Boundary Value Problems. The Finite Element Method: An Introduction. Answers to Supplementary Problems.
Master partial differential equations with Schaum's--the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours poring over lengthy textbooks Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format--without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 290 detailed problems with step-by-step solutions Clear, concise explanations of differential and difference methods Help with variational formulation of boundary value problems and variational approximation methods A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skills If you want top grades and thorough understanding of partial differential equations, this powerful study tool is the best tutor you can have!
Through its comprehensive collection of solved problems, the book presents the theory of partial differential equations and their important applications in mathematical physics, chemistry, electrical and mechanical engineering. Both exact and approximate computer programmable methods of solution are treated.
Table of contents:
Introduction. Classification and Characteristics. Qualitative Behavior of Solutions to Elliptic Equations. Qualitative Behavior of Solutions to Evolution Equations. First-Order Equations. Eigenfunction Expansions and Integral Transforms: Theory. Eigenfunction Expansions and Integral Transforms: Applications. Green's Functions. Difference Methods for Parabolic Equations. Difference and Characteristic Methods for Parabolic Equations. Difference Methods for Hyperbolic Equations. Difference Methods for Elliptic Equations. Variational Formulation of Boundary Value Problems. The Finite Element Method: An Introduction. Answers to Supplementary Problems.
Master partial differential equations with Schaum's--the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours poring over lengthy textbooks Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format--without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember--fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 290 detailed problems with step-by-step solutions Clear, concise explanations of differential and difference methods Help with variational formulation of boundary value problems and variational approximation methods A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skills If you want top grades and thorough understanding of partial differential equations, this powerful study tool is the best tutor you can have!
Through its comprehensive collection of solved problems, the book presents the theory of partial differential equations and their important applications in mathematical physics, chemistry, electrical and mechanical engineering. Both exact and approximate computer programmable methods of solution are treated.