Inhaltsangabe
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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