Interpolation Books
Numerical methods for engineers ,8th edition
Author: Steven Chapra, Raymond Canale
School: University of Uyo
Department: Engineering
Course Code: GRE411
Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method
Author: SRK Iyengar, RK Jain
School: Nnamdi Azikiwe University
Department: Engineering
Course Code: IPE803
Topics: Numerical Methods, Eigen value problems, Newton-Raphson Method, General Iteration Method, Convergence of Iteration Methods, Gauss Elimination Method, Gauss-Jordan Method, interpolation, approximation, Lagrange Interpolation, Newton’s Divided Difference Interpolation, Spline Interpolation, Cubic Splines, numerical differentiation, integration, Trapezium Rule, initial value problem, Romberg Method, Taylor Series Method, Adams-Moulton Methods, Predictor-Corrector Methods, boundary value problems
Author: ENG
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG308
Topics: Lagrange Interpolating Polynomial, Newton’s Interpolating Polynomials, Interpolation
Applied Numerical Methods with MATLAB, 4th edition
Author: Steven Chapra
School: Edo University
Department: Engineering
Course Code: GEE216
Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function
Advanced engineering mathematics
Author: Ken Stroud, Dexter Booth
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities
Numerical Analysis ,3rd edition
Author: Shanker Rao
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: MTH222
Topics: Numerical Analysis, errors, algebraic equations, transcendental equations, finite differences, interpolation, central difference interpolation formulae, inverse interpolation, numerical differentiation, numerical integration, curve fitting, Eigen values, Eigen vectors, Regression analysis
Numerical Analysis, Second edition
Author: Walter Gautschi
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: MTH222, MTH421
Topics: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational Methods
Elementary numerical analysis, 3rd edition
Author: Samuel Daniel Conte, Carl de Boor
School: Edo University
Department: Science and Technology
Course Code: CMP315
Topics: numerical analysis, number system, interpolation, Fixed-Point Iteration, Polynomial Equations, Real Roots, Complex Roots, Müller’s Method, Triangular Factorization, Determinants, Eigenvalue Problem, Backward-Error Analysis, determinants, Unconstrained Optimization, approximation, data fitting, Orthogonal Polynomials, Fast Fourier Transforms, Piecewise-Polynomial Approximation, differentiation, integration, numerical differentiation, numerical integration, Romberg Integration, Simple Difference Equations, Boundary Value Problems
Engineering maths lecture note
Author: ENG
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG308
Topics: approximation of functions, dynamic programming, state space analysis, interpolation, linear programming
Introduction to the mathematics of population
Author: Nathan Keyfitz
School: University of Ibadan
Department: Science and Technology
Course Code: STA342
Topics: population, stationary population model, recurrence equations, population projection, projection matrix, life tables, continous analysis, renewal equation, laplace transform, demographic variables, population time series, interpolation, graduation, finite approximation, population explosion, marriage model, probability models, life table functions, fertility functions, birth process, death process, sex ratio, population distribution, individual behavior, branching theory, population model, mathematical demography, future population, life table
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