Advanced Computational Technique

4 Weeks

SOMNATH BHATTACHARYYA

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(0) 0 Students
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What you will learn

  • Mathematics

  • EEE

There are several basic online courses on numerical methods available, however a course which can provide a foundation for the advanc`signed as an introductory course on advanced topics on numerical methods for engineering and science students. It is intended to teach the implementation of numerical methods rather than just provide theoretical foundations of the methods. Scientific computing is an integral part of several disciplines including computational mathematics. The completion of this course will equipped the students in handling advanced computational tools. All the methods will be illustrated by working out several examples. Pre-requisite for this course is the basic knowledge of undergraduate calculus and elementary numerical methods.

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Lecture 01 : Polynomial Interpolation
Preview 27:45
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Lecture 02 : Polynomial Interpolation
Preview 29:22
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Lecture 03 : Polynomial Interpolation
Preview 31:01
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Lecture 04 : Spline Interpolation
Preview 32:38
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Lecture 05 : Spline Interpolation
Preview 30:22

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Lecture 06 : Numerical Quadrature
Preview 30:50
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Lecture 07 : Numerical Quadrature ( Contd.)
Preview 28:04
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Lecture 08 : Least Squares Approximation
Preview 28:46
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Lecture 09 : Linear System of Equations
Preview 32:09
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Lecture 10 : Linear System of Equations ( Contd. )
Preview 40:34

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Lecture 11 : Initial Value Problems (IVP)
Preview 30:51
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Lecture 12 : Initial Value Problems ( Contd.)
Preview 31:38
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lecture 13 : Initial Value Problems ( Contd.)
Preview 34:18
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Lecture 14 : Initial Value Problems ( Contd. )
Preview 34:33
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Lecture 15 : Linear Boundary Value Problem (BVP)
Preview 31:47

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Lecture 16 : Linear Boundary Value Problem (BVP) ( Contd.)
Preview 37:39
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Lecture 17 : Non-linear BVP, Iterative Method
Preview 33:47
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Lecture 18 : Linear Parabolic PDE
Preview 32:51
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Lecture 19 : Hyperbolic PDE
Preview 39:52
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Lecture 20 : Non-linear advection-diffusion equation
Preview 37:15
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Meet Your Instructor

Instructor
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1 Courses
About Instructor

Prof. S. Bhattacharyya, FNASc is Chair Professor in the Dept. Mathematics, IIT Kharagpur. He is in HAG scale since 2010. His specialization is Applied Mathematics. He is teaching courses on Numerical Analysis, Partial Differential Equations, Numerical solutions of PDEs and other related courses on a regular basis for the B.Tech, MSc and PhD students at IIT Khargpur for the past 29 years. His research works involve numerical solutions of PDEs and he has published more than 160 research papers inreputed international journals. He has undertaken several sponsored research projects and guided 19 PhD students. Prof. Bhattcahrayya has organized and delivered lectures in several Conferences,AICTE sponsored short term courses and GIAN courses on the topics related to Applied Mathematics.He has received several fellowships for research collaboration in USA, UK and Germany

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Free

  • Course Duration
    10 h 56 m 2 s
  • Course Level
    Intermediate
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 10 h 56 m 2 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion