scientific article

zbMath1359.65002MaRDI QIDQ2797121

Santanu Saha Ray

Publication date: 4 April 2016

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

interpolationstabilityconvergenceGalerkin methodNewton's methodorthogonal polynomialseigenvaluesnumerical methodstextbookPadé approximationboundary value problemsfinite elementNewton-Raphson methodfixed-point iterationGauss eliminationiterative methodsGauss quadratureLobatto quadratureconditioningelliptic equationsLaplace equationRunge-Kutta methodscollocationsuccessive overrelaxationQR methodfinite differencenonlinear equationsdirect methodparabolic equationsRayleigh-Ritz methodB-splinesRichardson extrapolationmultistep methodssecant methodhyperbolic equationsalternating direction implicit methodcubic splineGalerkin methodspower methodNewton-Cotes quadraturereal rootsdivided differencessystem of linear algebraic equationsbisection methodleast squares curve fittingEuler-Maclaurin formulacentral differencesbackward differencesRomberg integrationGauss-SeidelshootingMilneCrank-Nicolson implicit methodforward differencesJacobi's methodsingle-step methodsregula-falsi methodHouseholder's methodNyströmAdam-Bashforth-MoultonGauss-JacobiGivens methodMathematica programming

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Theory of programming languages (68N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical interpolation (65D05) Numerical computation of solutions to single equations (65H05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Direct numerical methods for linear systems and matrix inversion (65F05) Euler-Maclaurin formula in numerical analysis (65B15) Finite difference and finite volume methods for ordinary differential equations (65L12) Packaged methods for numerical algorithms (65Y15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

Related Items (4)

Optimization with Reference-Based Robust Preference Constraints ⋮ On the convergence, dynamics and applications of a new class of nonlinear system solvers ⋮ An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations ⋮ Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations

Uses Software

• Mathematica
• Matlab

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