Modules / Lectures
Module NameDownloadDescriptionDownload Size
Advanced Numerical AnalysisLecture 1-Introduction and Overview (Module1)Introduction and Overview996 kb
Advanced Numerical AnalysisLecture 2-Fundamentals of Vector Spaces (Module 2-Section 2)Fundamentals of Vector Spaces309 kb
Advanced Numerical AnalysisLecture 3-Basis, Dimension and Sub-space of a Vector Space (Module 2-Section 2)Basis, Dimension and Sub-space of a Vector Space309 kb
Advanced Numerical AnalysisLecture 4-Introduction to Normed Vector Spaces (Module 2-Section 3)Introduction to Normed Vector Spaces309 kb
Advanced Numerical AnalysisLecture 5-Examples of Norms, Cauchy Sequence and Convergence, Introduction to Banach spaces(Module 2-Section 3)Examples of Norms, Cauchy Sequence and Convergence, Introduction to Banach spaces309 kb
Advanced Numerical AnalysisLecture 6- Introduction to Inner Product Spaces (Module 2-Section 4)Introduction to Inner Product Spaces309 kb
Advanced Numerical AnalysisLecture 7-Cauchy-Schwarz Inequality and Orthogonal Sets (Module 2-Section 4)Cauchy-Schwarz Inequality and Orthogonal Sets309 kb
Advanced Numerical AnalysisLecture 8-Gram-Schmidt Process and Generation of Orthogonal Sets (Module 2-Section 5)Gram-Schmidt Process and Generation of Orthogonal Sets309 kb
Advanced Numerical AnalysisLecture 9-Problem Discretization Using Approximation Theory (Module 3-Section 1)Problem Discretization Using Approximation Theory1406 kb
Advanced Numerical AnalysisLecture 10-Weierstrass Theorem and Polynomial Approximations (Module 3- Section 2)Weierstrass Theorem and Polynomial Approximations1406 kb
Advanced Numerical AnalysisLecture 11-Taylor Series Approximation and Newton\'s Method (Module 3-Section 3.1, 3.4)Taylor Series Approximation and Newton\'s Method1406 kb
Advanced Numerical AnalysisLecture 12-Solving ODE-BVPs using Finite Difference Method (Module 3-Section 3.2)Solving ODE-BVPs using Finite Difference Method1406 kb
Advanced Numerical AnalysisLecture 13-Solving ODE-BVPs and PDEs using Finite Difference Method (Module 3-Section 3.2, 3.3)Solving ODE-BVPs and PDEs using Finite Difference Method1406 kb
Advanced Numerical AnalysisLecture 14-Finite Difference Method (contd.) and Polynomial Interpolations (Module 3-Sections 3.3, 4.1)Finite Difference Method (contd.) and Polynomial Interpolations1406 kb
Advanced Numerical AnalysisLecture 15-Polynomial and Function Interpolations, Orthogonal Collocations Method for Solving ODE-BVPs (Module 3- Sections 4.1, 4.2)Polynomial and Function Interpolations, Orthogonal Collocations Method for Solving ODE-BVPs1406 kb
Advanced Numerical AnalysisLecture 16-Orthogonal Collocations Method for Solving ODE-BVPs and PDEs (Module 3-Sections 4.3, 4.4)Orthogonal Collocations Method for Solving ODE-BVPs and PDEs1406 kb
Advanced Numerical AnalysisLecture 17-Least square approximations, Necessary and Sufficient Conditions for Unconstrained Optimization (Module 3-Sections Sections 5.1, 8)Least square approximations, Necessary and Sufficient Conditions for Unconstrained Optimization1406 kb
Advanced Numerical AnalysisLecture 18-Least Square Approximations: Necessary and Sufficient Conditions for Unconstrained Optimization Least Square Approximations (Contd.) (Module 3-Sections 8, 5.1)Least Square Approximations: Necessary and Sufficient Conditions for Unconstrained Optimization Least Square Approximations (Contd.)1406 kb
Advanced Numerical AnalysisLecture 19-Linear Least Square Estimation and Geometric Interpretation of the Least Square Solution (Module 3-SectionSection 5.2)Linear Least Square Estimation and Geometric Interpretation of the Least Square Solution1406 kb
Advanced Numerical AnalysisLecture 20-Geometric Interpretation of the Least Square Solution (Contd.) and Projection Theorem in a Hilbert Spaces (Module 3-Section Sections 5.2, 5.3)Geometric Interpretation of the Least Square Solution (Contd.) and Projection Theorem in a Hilbert Spaces1406 kb
Advanced Numerical AnalysisLecture 21-Projection Theorem in a Hilbert Spaces (Contd.) and Approximation Using Orthogonal Basis (Module 3-Section 5.3)Projection Theorem in a Hilbert Spaces (Contd.) and Approximation Using Orthogonal Basis1406 kb
Advanced Numerical AnalysisLecture 22-Discretization of ODE-BVP using Least Square Approximation (Module 3-Section 5.5)Discretization of ODE-BVP using Least Square Approximation1406 kb
Advanced Numerical AnalysisLecture 23-Discretization of ODE-BVP using Least Square Approximation and Gelarkin Method (Module 3-Section 5.5)Discretization of ODE-BVP using Least Square Approximation and Gelarkin Method1406 kb
Advanced Numerical AnalysisLecture 24-Model Parameter Estimation using Gauss-Newton Method (Module 3-Section 5.4)Model Parameter Estimation using Gauss-Newton Method1406 kb
Advanced Numerical AnalysisLecture 25-Solving Linear Algebraic Equations and Methods of Sparse Linear Systems (Module 4-Sections 1, 2, 4)Solving Linear Algebraic Equations and Methods of Sparse Linear Systems494 kb
Advanced Numerical AnalysisLecture 26-Methods of Sparse Linear Systems (Contd.) and Iterative Methods for Solving Linear Algebraic Equations (Module 4-Section 4)Methods of Sparse Linear Systems (Contd.) and Iterative Methods for Solving Linear Algebraic Equations494 kb
Advanced Numerical AnalysisLecture 27-Iterative Methods for Solving Linear Algebraic Equations (Module 4-Section 5.1)Iterative Methods for Solving Linear Algebraic Equations494 kb
Advanced Numerical AnalysisLecture 28-Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Eigenvalues (Module 4-Sections 5.2, 9)Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Eigenvalues494 kb
Advanced Numerical AnalysisLecture 29-Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix Norms (Module 4-Section 9 and Module 2-Section 6)Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix Norms494 kb
Advanced Numerical AnalysisLecture 30-Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix Norms (Contd.) (Module 4-Section 5.2)Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix Norms (Contd.)494 kb
Advanced Numerical AnalysisLecture 31-Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis (Contd.) (Module 4-Section 5.2)Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis (Contd.)494 kb
Advanced Numerical AnalysisLecture 32-Optimization Based Methods for Solving Linear Algebraic Equations: Gradient Method (Module 4-Section 6)Optimization Based Methods for Solving Linear Algebraic Equations: Gradient Method494 kb
Advanced Numerical AnalysisLecture 33-Conjugate Gradient Method, Matrix Conditioning and Solutions of Linear Algebraic Equations (Module 4--Sections 6, 7)Conjugate Gradient Method, Matrix Conditioning and Solutions of Linear Algebraic Equations494 kb
Advanced Numerical AnalysisLecture 34-Matrix Conditioning and Solutions and Linear Algebraic Equations (Contd.) (Module 4-Section7)Matrix Conditioning and Solutions and Linear Algebraic Equations (Contd.)494 kb
Advanced Numerical AnalysisLecture 35-Matrix Conditioning (Contd.) and Solving Nonlinear Algebraic Equations (Module 5-Section 1 and Module 4-Section7)Matrix Conditioning (Contd.) and Solving Nonlinear Algebraic Equations137 kb
Advanced Numerical AnalysisLecture 36-Solving Nonlinear Algebraic Equations: Wegstein Method and Variants of Newton\'s Method (Module 5-Section 2,3 )Solving Nonlinear Algebraic Equations: Wegstein Method and Variants of Newton\'s Method688 kb
Advanced Numerical AnalysisLecture 37-Solving Nonlinear Algebraic Equations: Optimization Based Methods (Module 5-Section 4 )Solving Nonlinear Algebraic Equations: Optimization Based Methods688 kb
Advanced Numerical AnalysisLecture 38-Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis of Iterative Solution Techniques (Module 5-Sections 5, 6 )Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis of Iterative Solution Techniques688 kb
Advanced Numerical AnalysisLecture 39-Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis (Contd.) and Solving ODE-IVPs (Module 6-Section 1 and Module 5-Sections 6 )Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis (Contd.) and Solving ODE-IVPs203 kb
Advanced Numerical AnalysisLecture 40-Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : Basic Concepts (Module 6-Section 4 )Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : Basic Concepts280 kb
Advanced Numerical AnalysisLecture 41-Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : RungeKutta Methods (Module 6-Section 5 )Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : RungeKutta Methods203 kb
Advanced Numerical AnalysisLecture 42-Solving ODE-IVPs : RungeKutta Methods (contd.) and Multi-step Methods (Module 6-Section 5,6 )Solving ODE-IVPs : RungeKutta Methods (contd.) and Multi-step Methods203 kb
Advanced Numerical AnalysisLecture 43- Solving ODE-IVPs : Generalized Formulation of Multi-step Methods(Module 6-Section 6 )Solving ODE-IVPs : Generalized Formulation of Multi-step Methods203 kb
Advanced Numerical AnalysisLecture 44-Solving ODE-IVPs : Multi-step Methods (contd.) and Orthogonal Collocations Method (Module 6-Section 6 )Solving ODE-IVPs : Multi-step Methods (contd.) and Orthogonal Collocations Method203 kb
Advanced Numerical AnalysisLecture 45-Solving ODE-IVPs: Selection of Integration Interval and Convergence Analysis of Solution Schemes (Module 6-Section 7 )Solving ODE-IVPs: Selection of Integration Interval and Convergence Analysis of Solution Schemes203 kb
Advanced Numerical AnalysisLecture 46- Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.)(Module 6-Section 7 )Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.)203 kb
Advanced Numerical AnalysisLecture 47-Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.) and Solving ODE-BVP using Single Shooting Method (contd.)(Module 6-Section 7,9)Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.) and Solving ODE-BVP using Single Shooting Method203 kb
Advanced Numerical AnalysisLecture 48-Methods for Solving System of Differential Algebraic Equations (Module 6-Section 8)Methods for Solving System of Differential Algebraic Equations203 kb
Advanced Numerical AnalysisLecture 49-Methods for Solving System of Differential Algebraic Equations (contd.) and Concluding Remarks (Module 6-Section 8)Methods for Solving System of Differential Algebraic Equations (contd.) and Concluding Remarks203 kb
Module NameDownloadDescriptionDownload Size
Advanced Numerical AnalysisComputing_Assignment-IComputing_Assignment-I113 kb
Advanced Numerical AnalysisComputing_Assignment-IIComputing_Assignment-II31 kb
Advanced Numerical AnalysisComputing_Assignment-IIIComputing_Assignment-III70 kb
Advanced Numerical AnalysisComputing_Assignment-IVComputing_Assignment-IV46 kb
Module NameDownloadDescriptionDownload Size
Advanced Numerical AnalysisMidTerm-ExamMidTerm-Exam71 kb
Advanced Numerical AnalysisProgramming-Quiz-AProgramming-Quiz-A59 kb
Advanced Numerical AnalysisProgramming-Quiz-BProgramming-Quiz-B51 kb
Advanced Numerical AnalysisProgramming-Quiz-CProgramming-Quiz-C53 kb
Advanced Numerical AnalysisFinal-Exam-1Final-Exam-164 kb
Advanced Numerical AnalysisFinal-Exam-2Final-Exam-257 kb
Advanced Numerical AnalysisMidTerm-Exam-1MidTerm-Exam-145 kb
Advanced Numerical AnalysisMidTerm-Exam-2MidTerm-Exam-271 kb
Advanced Numerical AnalysisQuiz-IQuiz-I61 kb
Advanced Numerical AnalysisQuiz-IIQuiz-II61 kb

Sl.No Chapter Name English
1Lecture 1: Introduction and OverviewPDF unavailable
2Lecture -2 Fundamentals of Vector Spaces PDF unavailable
3Lecture 3 : Basic Dimension and Sub-space of a Vector SpacePDF unavailable
4Lecture 4 : Introduction to Normed Vector SpacesPDF unavailable
5Lecture 5 : Examples of Norms,Cauchy Sequence and Convergence, Introduction to Banach SpacesPDF unavailable
6Lecture 6 : Introduction to Inner Product Spaces PDF unavailable
7Lecture 7 : Cauchy Schwaz Inequality and Orthogonal SetsPDF unavailable
8Lecture 8 : Gram-Schmidt Process and Generation of Orthogonal Sets PDF unavailable
9Lecture 9 : Problem Discretization Using Appropriation Theory PDF unavailable
10Lecture 10 : Weierstrass Theorem and Polynomial Approximation PDF unavailable
11Lecture 11 : Taylor Series Approximation and Newton's Method PDF unavailable
12Lecture 12 : Solving ODE - BVPs Using Firute Difference Method PDF unavailable
13Lecture 13 :Solving ODE - BVPs and PDEs Using Finite Difference Method PDF unavailable
14Lecture 14 : Finite Difference Method (contd.) and Polynomial InterpolationsPDF unavailable
15Lecture 15 : Polynomial and Function Interpolations,Orthogonal Collocations Method for Solving ODE -BVPsPDF unavailable
16Lecture 16 : Orthogonal Collocations Method for Solving ODE - BVPs and PDEsPDF unavailable
17Lecture 17 :Least Square Approximations, Necessary and Sufficient Conditions for Unconstrained OptimizationPDF unavailable
18Lecture 18 : Least Square Approximations :Necessary and Sufficient Conditions for Unconstrained Optimization Least Square Approximations ( contd..)PDF unavailable
19Lecture 19 :Linear Least Square Estimation and Geometric Interpretation of the Least Square SolutionPDF unavailable
20Lecture 20 : Geometric Interpretation of the Least Square Solution (Contd.) and Projection Theorem in a Hilbert SpacesPDF unavailable
21Lecture 21 : Projection Theorem in a Hilbert Spaces (Contd.) and Approximation Using Orthogonal BasisPDF unavailable
22Lecture 22 :Discretization of ODE-BVP using Least Square ApproximationPDF unavailable
23Lecture 23 : Discretization of ODE-BVP using Least Square Approximation and Gelarkin MethodPDF unavailable
24Lecture 24 : Model Parameter Estimation using Gauss-Newton MethodPDF unavailable
25Lecture 25 : Solving Linear Algebraic Equations and Methods of Sparse Linear SystemsPDF unavailable
26Lecture 26 : Methods of Sparse Linear Systems (Contd.) and Iterative Methods for Solving Linear Algebraic EquationsPDF unavailable
27Lecture 27 : Iterative Methods for Solving Linear Algebraic EquationsPDF unavailable
28Lecture 28 : Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using EigenvaluesPDF unavailable
29Lecture 29 :Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix NormsPDF unavailable
30Lecture 30 : Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis using Matrix Norms (Contd.)PDF unavailable
31Lecture 31 : Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis (Contd.)PDF unavailable
32Lecture 32 :Optimization Based Methods for Solving Linear Algebraic Equations: Gradient MethodPDF unavailable
33Lecture 33 : Conjugate Gradient Method, Matrix Conditioning and Solutions of Linear Algebraic EquationsPDF unavailable
34Lecture 34 : Matrix Conditioning and Solutions and Linear Algebraic Equations (Contd.)PDF unavailable
35Lecture 35 : Matrix Conditioning (Contd.) and Solving Nonlinear Algebraic EquationsPDF unavailable
36Lecture 36 : Solving Nonlinear Algebraic Equations: Wegstein Method and Variants of Newton's MethodPDF unavailable
37Lecture 37 : Solving Nonlinear Algebraic Equations: Optimization Based MethodsPDF unavailable
38Lecture 38 : Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis of Iterative Solution TechniquesPDF unavailable
39Lecture 39 : Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis (Contd.) and Solving ODE-IVPsPDF unavailable
40Lecture 40 :Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : Basic ConceptsPDF unavailable
41Lecture 41 :Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) : Runge Kutta MethodsPDF unavailable
42Lecture 42 :Solving ODE-IVPs : Runge Kutta Methods (contd.) and Multi-step MethodsPDF unavailable
43Lecture 43 :Solving ODE-IVPs : Generalized Formulation of Multi-step MethodsPDF unavailable
44Lecture 44 : Solving ODE-IVPs : Multi-step Methods (contd.) and Orthogonal Collocations MethodPDF unavailable
45Lecture 45 : Solving ODE-IVPs: Selection of Integration Interval and Convergence Analysis of Solution SchemesPDF unavailable
46Lecture 46 : Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.)PDF unavailable
47Lecture 47 :Solving ODE-IVPs: Convergence Analysis of Solution Schemes (contd.) and Solving ODE-BVP using Single Shooting MethodPDF unavailable
48Lecture 48 : Methods for Solving System of Differential Algebraic EquationsPDF unavailable
49Lecture 49 : Methods for Solving System of Differential Algebraic Equations (contd.) and Concluding RemarksPDF unavailable


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