Mathematical Analysis and the Mathematics of Computation

DOI10.1007/978-3-319-42755-3zbMath1358.65001OpenAlexW2529135100MaRDI QIDQ2831919

Werner Römisch, Thomas Zeugmann

Publication date: 3 November 2016

Full work available at URL: https://doi.org/10.1007/978-3-319-42755-3

zbMATH Keywords

numbersmappingsLagrange multipliersconnectednessmetric spacesnormed spacetextbookiterative methodquadrature rulecontinuation methodcompactness\(B\)-splinesFourier seriesstructuresdifferential calculusRiemann integrallinear integral operatorslinear operatorsinner product spaceslinear multistep methodlinear integral equationspolynomial interpolationintegral calculusODEsnumerosityRomberg integrationBanach-Steinhausapproximate representation of functionsArzelà-AscoliBanach's fixed point thoremdiscretization of operator equationsnumerical solution of extremal problemsnumerical solution of systems of nonlinear equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions (26-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)