This led to the decision to target this text at students. What were your main objectives during the writing process? This book examines numerical and semi-analytical methods that may be used for solving practical ODEs and PDEs and contains solved example problems.
What led to the decision to have the text work like this? Most of the books that are available in the market discuss either numerical or semi-analytical methods for solving practical ODEs and PDEs.
If there is one piece of information or advice that you would want your audience to take away from your book, what would that be? This book may be used for teaching advanced methods for solving differential equations to graduates, under graduates and research scholars.
Why, do you think, this book of may be of interest now? The differential equations governing the practical problems may not be solved using analytical technics always. When there is no analytical solution then numerical or semi-analytical methods are advantageous. Most of the books that are available in the market discuss only either numerical or semi-analytical methods for handling linear and nonlinear differential equations.
If you were to write a follow up edition, are there any other methods and equations that you would consider exploring? What is it about the area of numerical and semi-analytic methods that fascinates you?
Differential equations are back bone of every science and engineering problems in general. But, the form of differentia equations depends up on particular application problems. Analytical methods may not possible always to solve these equations.
http://dktrainingconsultancy.co.uk/scripts/2020-03-07/zufiv-como-puedo-conocer.php As such this book addresses these challenges to handle the above differential equations using numerical and semi-analytical methods. The above triggers us about the fascination.
Numerical Methods for Partial Differential Equations. For example, a collision in a mechanical system like in an impact oscillator typically occurs at much smaller time scale than the time for the motion of objects; this discrepancy makes for very "sharp turns" in the curves of the state parameters. A numerical method is said to be convergent if the numerical solution approaches the exact solution as the step size h goes to 0. Views Read Edit View history. This led to the decision to target this text at students. Vector Calculus. Register Now.
What other work are you currently working on or has recently been published? As such, the first author has already published 15 books. Moreover 3 books are on-going with different co-authors.
View all. All Articles RSS. Problems in multiple spatial dimensions More about Fourier series More about finite element methods Appendix A. Proof of Theorem 3. View PDF. Save to Library. Create Alert.
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