Modules / Lectures
Module NameDownloadDescriptionDownload Size
IntroductionLecture1Preliminaries119 kb
IntroductionLecture2Existence, Uniqueness, and Wellposedness94 kb
IntroductionLecture3Stability and Asymptotic Stability95 kb
Single Step MethodsLecture4The Euler Method74 kb
Single Step MethodsLecture5Convergence of Euler’s Method84 kb
Single Step MethodsLecture6Improvement of the error bound101 kb
Single Step MethodsLecture7Stability109 kb
Higher order Single Step MethodsLecture8Higher Order Methods77 kb
Higher order Single Step MethodsLecture9Runge-Kutta Methods109 kb
Higher order Single Step MethodsLecture10Error bounds for Runge-Kutta methods76 kb
Higher order Single Step MethodsLecture11Absolute Stability for Runge-Kutta Methods75 kb
Systems of Equations and Equations of Order Greater Than OneLecture12Systems of Equations51 kb
Systems of Equations and Equations of Order Greater Than OneLecture13Direct Methods For Higher Order Equations97 kb
Consistency, Stability and Convergence of General Single – Step MethodsLecture14General Single Step Methods65 kb
Consistency, Stability and Convergence of General Single – Step MethodsLecture15Convergence of General One-Step Methods90 kb
Implicit Runge-Kutta MethodsLecture16Derivation of Implicit Runge-Kutta methods87 kb
Implicit Runge-Kutta MethodsLecture17Derivation of Implicit Runge-Kutta Methods(Contd.)66 kb
Multistep MethodsLecture18Multistep Methods99 kb
Multistep MethodsLecture19Multistep Methods (Contd.)95 kb
Multistep MethodsLecture20Multistep Methods(Contd..)121 kb
Multistep MethodsLecture21The local error of the formulas based on integration89 kb
Multistep MethodsLecture22Local Error of Nystrom & Milne-Simpson Methods85 kb
Multistep MethodsLecture23Multistep Methods for Special Equations of the Second Order77 kb
Multistep MethodsLecture24Special 2nd order equations(Contd.)123 kb
Linear Multistep MethodsLecture25Linear Multistep Methods87 kb
Linear Multistep MethodsLecture26Linear Multistep Methods (Contd)96 kb
Linear Multistep MethodsLecture27Consistency and Zero-Stability of Linear Multistep Methods484000 kb
Linear Multistep MethodsLecture28Convergence of Linear Multistep Methods84 kb
Linear Multistep MethodsLecture29Necessary & Sufficient Conditions for Convergence93 kb
Linear Multistep MethodsLecture30Absolute Stability and Relative Stability109 kb
Linear Multistep MethodsLecture31General methods for finding intervals of absolute and relative stability73 kb
Linear Multistep MethodsLecture32Some more methods for Absolute & Relative Stability95 kb
Stiff-Initial Value SystemsLecture33First order linear systems with constant coefficient88 kb
Stiff-Initial Value SystemsLecture34Stiffness and Problem of Stiffness80 kb
Stiff-Initial Value SystemsLecture35The problem of implicitness for Stiff systems51 kb
Stiff-Initial Value SystemsLecture36Linear multistep methods for Stiff systems124 kb
Finite Difference Methods for Boundary Value ProblemsLecture37Finite Difference Methods66 kb
Finite Difference Methods for Boundary Value ProblemsLecture38Analysis of Difference System85 kb
Finite Difference Methods for Boundary Value ProblemsLecture39Analytic Expressionof the Error59 kb
Finite Difference Methods for Boundary Value ProblemsLecture40Nonlinear second order equations60 kb
Finite Difference Methods for Boundary Value ProblemsLecture41Special Boundary Value Problems75 kb
Finite Difference Methods for Boundary Value ProblemsLecture42Special Boundary Value Problems200 kb
Module NameDownloadDescriptionDownload Size
IntroductionReferencesReferences17 kb