2. Ch#5 Interpolation || Newton's backward interpolation formula || Derivation || Numerical Analysis
Topic: In this lecture I shall discuss derivation of Gregory Newton backward interpolation formula. COURSE: NUMERICAL ANALYSIS- I||PUNJAB UNIVERSITY|| 7TH SEMESTER|| CODE MATH-403 LEVEL: B.S MATHEMATICS CHAPTER # 5 Interpolation with equal Intervals TO WATCH ALL COURSES OF B.S MATHEMATICS 7TH SEMESTER CLICK THE LINK BELOW • B.S MATHEMATICS || 7TH SEMSETER|| PUNJAB U... ------------------------------------------------------------------------------------------------------------------------------------------------------- TO WATCH COMPLETE PLAY LIST OF NUMERICAL ANALYSIS- I B.S MATHEMATICS 7TH SEMESTER CLICK THE LINK BELOW • NUMERICAL ANALYSIS-I || B.S MATHEMATICS 7T... ------------------------------------------------------------------------------------------------------------------------------------------------------- This course is specially designed for students of B.S MATHEMATICS 7th semester and students doing M.SC MATHEMATICS annually from Punjab University Lahore Pakistan. ------------------------------------------------------------------------------------------------------------------------------------------------------- Number Systems and Errors Round off errors and computer arithmetic Error estimation Floating point arithmetic Solution of Non-Linear Equations Iterative methods and convergence: Bisection method, fixed point iterative method, Regula Falsi, Secant and Newton’s method Systems of Linear Equations Direct methods: Gaussian elimination method, Gauss-Jordan method, matrix inversion method, factorization (Doolittle, Crout and Cholesky) method and its various forms Iterative methods and convergence: Gauss-Jacobi method and Gauss-Seidel method Ill-condition system and condition number Eigen values and eigenvectors Power and Rayleigh quotient method Interpolation and Polynomial Approximation Difference operators Interpolation with unequal intervals: Lagrange’s interpolation formula, Newton’s divided difference formula, error in polynomial interpolation Interpolation with equal intervals: Gregory Newton forward/backward interpolation formula, error in polynomial interpolation Central difference interpolation formulae: Gauss’s forward/backward interpolation formula, Stirling’s formula, Laplace Everett’s formula, Bessel’s formula Recommended Books 1. Curtis F. Gerald and Patrick O. Wheatley, Applied Numerical Analysis, 6th edition, (Addison-Wesley Pearson Education, 2003) 2. Richard L. Burden and J. Douglas Faires, Numerical Analysis, 6th edition, (Brooks/Cole Publishing Company,1997) 3. John H. Mathews, Numerical Methods for Mathematics, 3rd edition (Prentice Hall International, 2003) 4. V. N. Vedamurthy and N. Ch. S. N. Iyenger, Numerical Methods, (Vikas Publishing House Pvt. Ltd, 2002) ------------------------------------------------------------------------------------------------------------------------------------------------------- #NewtonBackwardInterpolation #BackwardInterpolation #NumericalAnalysis #InterpolationMethods #Mathematics #NumericalMethods #NewtonInterpolation #InterpolationTechniques #MathematicalAnalysis #NumericalComputations #ForwardDifference #BackwardDifference #CentralDifference #finitedifferences #NumericalAnalysis #DifferenceOperators #DerivativeApproximation #NumericalMethods #Shiftoperator #ComputationalMath #DifferenceEquations #Averagingoperator #NumericalDifferentiation #ComputationalScience #Mathematics #Differentialoperator #MathModelling #NumericalSolutions #AlgorithmDevelopment #computationalengineering #interpolation ------------------------------------------------------------------------------------------------------------------------------------------------------- To watch videos for different semesters of B.S MATHEMATICS clink on the given link 1ST SEMESTER • B.S MATHEMATICS || 1ST SEMSETER|| PUNJAB U... 2ND SEMESTER • B.S MATHEMATICS || 2ND SEMSETER|| PUNJAB U... 3RD SEMESTER • B.S MATHEMATICS || 3RD SEMSETER|| PUNJAB U... 4TH SEMESTER • B.S MATHEMATICS || 4TH SEMSETER|| PUNJAB U... 5TH SEMESTER • B.S MATH || 5TH SEMSETER|| PUNJAB UNIVERSI... 6TH SEMESTER • B.S MATH || 6TH SEMSETER|| PUNJAB UNIVERSI... 7TH SEMESTER • B.S MATHEMATICS || 7TH SEMSETER|| PUNJAB U... ------------------------------------------------------------------------------------------------------------------------------------------------------- #Maths4U. #professorazmatali #numericalanalysis #gate #iitjam
