04351nam 2200949z- 450 991055728510332120210501(CKB)5400000000041189(oapen)https://directory.doabooks.org/handle/20.500.12854/69216(oapen)doab69216(EXLCZ)99540000000004118920202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNumerical MethodsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (184 p.)3-03943-318-0 3-03943-319-9 Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, and even arts. The common uses of numerical methods include approximation, simulation, and estimation, and there is almost no scientific field in which numerical methods do not find a use. Results communicated here include topics ranging from statistics (Detecting Extreme Values with Order Statistics in Samples from Continuous Distributions) and Statistical software packages (dCATCH-A Numerical Package for d-Variate near G-Optimal Tchakaloff Regression via Fast NNLS) to new approaches for numerical solutions (Exact Solutions to the Maxmin Problem max‖Ax‖ Subject to ‖Bx‖≤1; On q-Quasi-Newton's Method for Unconstrained Multiobjective Optimization Problems; Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method; On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence; Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers' Equations) to the use of wavelets (Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron) and methods for visualization (A Simple Method for Network Visualization).Mathematics & sciencebicsscResearch & information: generalbicsscaccelerated Lawson-Hanson solverBanach spaceboundary singularitiesBurgers' equationCaputo fractional derivativeCaratheodory-Tchakaloff discrete measure compressionClenshaw-Curtis-Filoncomposite methodcoupled Burgers' equationD-optimalityderivative-free methodextreme valuesfinite integration methodFréchet-derivativeG-efficiencyG-optimalitygraph drawinghigh oscillationlocal convergencematrix normmaxminmethods of quasi-Newton typeMonte Carlo simulationmultiobjective programmingmultiple root solversmultiplicative algorithmsmultivariate polynomial regression designsNetworkNon-Negative Least Squaresnonlinear equationsoptimal convergenceoptimal geolocationorder statisticsoutliersPareto optimalityplanar visualizationsprobability computingq-calculusrate of convergenceshifted Chebyshev polynomialsingular integral equationssupporting vectorTMS coiluniform 3D gridvolume preserving mapwavelets on 3D ballweight-functionMathematics & scienceResearch & information: generalJäntschi Lorentzedt1293809Roșca DanielaedtJäntschi LorentzothRoșca DanielaothBOOK9910557285103321Numerical Methods3022734UNINA