Synopsis
Part I Models and elementary mathematics.- 1 Introduction.- 2 Mathematical models.- 3 Basic linear algebra.- 4 Analysis tools- 5 Elementary functions.- Part II Fundamentals in numerical analysis.- 6 The Fourier transform.- 7 Polynomial expansions.- 8 Least square problems.- Part III Numerical methods for differential equations.- 9 Numerical methods for difference methods.- 10 Finite difference methods.- 11 Finite element method.- 12 Spectral methods.- Part IV Numerical methods for algebraic equations.- 13 Numerical solutions of nonlinear equations.- 14 Linear systems of equations.- Part V Applications.- 15 Wave propagation.- 16 Heat conduction.- 17 Fluid dynamics.- 18 Computers and programming.- 19 Further reading.- A. Mathematical Rules.- References.- Index
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“Scientific computing is considered to comprise mathematical modeling, numerical analysis as well as issues of programming and implementation. Correspondingly, the book introduces all areas required and structures the material in 5 parts, altogether comprising 19 chapters. ... In summary, the books presents the fundamentals of scientific computing in such a way that students from mathematics as well as from science or engineering can benefit.” (Gudula Rünger, Zentralblatt MATH, March, 2012)"About this title" may belong to another edition of this title.
