The Mathematica GuideBook for Numerics

DOI10.1007/0-387-28814-7zbMath1101.65001OpenAlexW574876433MaRDI QIDQ5713258

Publication date: 13 December 2005

Full work available at URL: https://doi.org/10.1007/0-387-28814-7

Numerical mathematical programming methods (65K05) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Packaged methods for numerical algorithms (65Y15) Numerical linear algebra (65Fxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ordinary differential equations (65Lxx) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis (65-00) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Nonlinear algebraic or transcendental equations (65Hxx)

Related Items (46)

Overall elastic properties of a material containing inhomogeneities of concave shape ⋮ Approximate solution of nonlinear Black-Scholes equation via a fully discretized fourth-order method ⋮ Numerical solution of the Beltrami equation via a purely linear system ⋮ An Efficient Numerical Scheme for the Solution of a Stochastic Volatility Model Including Contemporaneous Jumps in Finance ⋮ A generalized Steffensen's method for matrix sign function ⋮ Investing in lead-time variability reduction in a collaborative vendor-buyer supply chain model with stochastic lead time ⋮ On finding robust approximate inverses for large sparse matrices ⋮ The heteroscedastic odd log-logistic generalized gamma regression model for censored data ⋮ European option valuation under the Bates PIDE in finance: a numerical implementation of the Gaussian scheme ⋮ Some optimal iterative methods and their with memory variants ⋮ A general framework for the exact stability analysis of love dynamics with four independent time delays ⋮ Complete stability assessment of LTI systems with multiple constant-coefficient distributed delays using the improved frequency sweeping framework ⋮ Computing outer inverses by scaled matrix iterations ⋮ Improved frequency sweeping technique and stability analysis of the second-order consensus protocol with distributed delays ⋮ Pricing the financial Heston-Hull-White model with arbitrary correlation factors via an adaptive FDM ⋮ SOME NEWTON-TYPE ITERATIVE METHODS WITH AND WITHOUT MEMORY FOR SOLVING NONLINEAR EQUATIONS ⋮ On a new method for computing the numerical solution of systems of nonlinear equations ⋮ Some iterative methods free from derivatives and their basins of attraction for nonlinear equations ⋮ A multiquadric RBF-FD scheme for simulating the financial HHW equation utilizing exponential integrator ⋮ Approximating the matrix sign function using a novel iterative method ⋮ A matrix iteration for finding Drazin inverse with ninth-order convergence ⋮ Two novel classes of two-step optimal methods for all the zeros in an interval ⋮ Mathematical model of a brittle crack that takes into account the distribution of cohesive forces between the crack faces and the distance between them ⋮ An efficient matrix iterative method for computing Moore-Penrose inverse ⋮ An improved computationally efficient method for finding the Drazin inverse ⋮ Concurrent product and process parameters determination under deterioration process ⋮ RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function ⋮ Finding generalized inverses by a fast and efficient numerical method ⋮ On hyperpower family of iterations for computing outer inverses possessing high efficiencies ⋮ An efficient computation of generalized inverse of a matrix ⋮ An efficient matrix iteration for computing weighted Moore-Penrose inverse ⋮ Numerically stable improved Chebyshev-Halley type schemes for matrix sign function ⋮ Factorizations of hyperpower family of iterative methods via least squares approach ⋮ A class of numerical algorithms for computing outer inverses ⋮ A fast convergent numerical method for matrix sign function with application in SDEs ⋮ Two optimal eighth-order derivative-free classes of iterative methods ⋮ New iterative methods for finding matrix sign function: derivation and application ⋮ A class of Kung-Traub-type iterative algorithms for matrix inversion ⋮ Product and process parameters determination for quality and cost ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\) ⋮ Some matrix iterations for computing matrix sign function ⋮ A class of Steffensen-type iterative methods for nonlinear systems ⋮ Testing if a mixture is from a given location–scale family ⋮ On a fourth-order matrix method for computing polar decomposition ⋮ Finding the Moore-Penrose inverse by a new matrix iteration ⋮ An efficient and stable Newton-type iterative method for computing generalized inverse \(A_{T,S}^{(2)}\)

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