Numerical Methods For Time Dependent Equations
by P. Lascaux
Publisher: Tata Institute of Fundamental Research 1976
Number of pages: 162
The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.
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by Douglas W. Harder, Richard Khoury - University of Waterloo
Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.
by Yousef Saad - PWS
The book gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
by Svein Linge, Hans Petter Langtangen - Springer
This book presents Python programming as a key method for solving mathematical problems. The style is accessible and concise, the emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
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The textbook is written for engineering undergraduates taking a course in numerical methods. It offers a treatise to numerical methods based on a holistic approach and short chapters. The authors included examples of real-life applications.