Numerical analysis for engineers and natural scientists.

DOI10.1007/3-540-29883-5zbMath1102.65002OpenAlexW4243847197MaRDI QIDQ2276641

Arnold Reusken, Wolfgang Dahmen

Publication date: 13 April 2006

Published in: Springer-Lehrbuch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-29883-5

zbMATH Keywords

interpolationcomplexityalgorithmsstabilityinverse problemeigenvaluessmoothing splinestextbookheat conductionfinite elementfast Fourier transformerror analysisdata fittingtrigonometric interpolationfinite volumecompressible flowsparse linear systemsnumerical linear algebrasystems of nonlinear equationsnumerical simulationsdirect methodsscientific computingcondition numbersiteration methodsdifference methodsrounding errorsairfoilNumerical integrationnumerical treatment of differential equationsSpline functions

Mathematics Subject Classification ID

Heat equation (35K05) Roundoff error (65G50) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical linear algebra (65Fxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Nonlinear algebraic or transcendental equations (65Hxx)

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