This video looks at an example of how we can interpolate using cubic splines, both the Natural and clamped boundary conditions are considered.
Text Book: Numerical Analysis by Burden, Faires & Burden

Views: 47630
The Math Guy

Numerical Analysis - I, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2: SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method
2-Fixed point iterative method
3-Regula Falsi Method
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 193
SALEEM RAJA

Numerical Analysis - II, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics,Computer Science and Engineering etc.
CHAPTER-2: NUMERICAL INTEGRATION
1-Newton-Cotes formulae
2-Trapezoidal rule
3-Simpson rule
4-Boole’s rule
5-Weddle’s rule
6-Gaussian quadrature formulae
7-Errors in quadrature formulae
Recommended Books
1. Curtis F. Gerald and Patrick O. Wheatley, Applied Numerical Analysis, 6th edition,
(Addison-Wesley Publishing Co. 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, Science and Engineering, 3rd edition (Prentice Hall International, 2003)
4. V. N. Vedamurthy and N. Ch. S. N. Iyenger, Numerical Methods, (Vikas Publishing House Pvt. Ltd, 2002)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers 3rd edition (McGraw Hill International Edition, 1998)

Views: 47
SALEEM RAJA

Numerical Analysis - II, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics,Computer Science and Engineering etc.
CHAPTER-2: NUMERICAL INTEGRATION
1-Newton-Cotes formulae
2-Trapezoidal rule
3-Simpson rule
4-Boole’s rule
5-Weddle’s rule
6-Gaussian quadrature formulae
7-Errors in quadrature formulae
Recommended Books
1. Curtis F. Gerald and Patrick O. Wheatley, Applied Numerical Analysis, 6th edition,
(Addison-Wesley Publishing Co. 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, Science and Engineering, 3rd edition (Prentice Hall International, 2003)
4. V. N. Vedamurthy and N. Ch. S. N. Iyenger, Numerical Methods, (Vikas Publishing House Pvt. Ltd, 2002)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers 3rd edition (McGraw Hill International Edition, 1998)

Views: 113
SALEEM RAJA

Numerical Analysis - I, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2: SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method
2-Fixed point iterative method
3-Regula Falsi Method
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 157
SALEEM RAJA

Numerical Analysis - II, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics,Computer Science and Engineering etc.
CHAPTER-2: NUMERICAL INTEGRATION
1-Newton-Cotes formulae
2-Trapezoidal rule
3-Simpson rule
4-Boole’s rule
5-Weddle’s rule
6-Gaussian quadrature formulae
7-Errors in quadrature formulae
Recommended Books
1. Curtis F. Gerald and Patrick O. Wheatley, Applied Numerical Analysis, 6th edition,
(Addison-Wesley Publishing Co. 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, Science and Engineering, 3rd edition (Prentice Hall International, 2003)
4. V. N. Vedamurthy and N. Ch. S. N. Iyenger, Numerical Methods, (Vikas Publishing House Pvt. Ltd, 2002)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers 3rd edition (McGraw Hill International Edition, 1998)

Views: 42
SALEEM RAJA

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SALEEM RAJA

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SALEEM RAJA

Views: 8
SALEEM RAJA

Views: 33
SALEEM RAJA

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SALEEM RAJA

This video discusses three root-finding algorithms found in Section 2.3 of Burden and Faires' Numerical Analysis, 9th edition.

Views: 10436
Jen-Mei Chang

Views: 73
SALEEM RAJA

Views: 47
SALEEM RAJA

Views: 7
SALEEM RAJA

Views: 8
SALEEM RAJA

Views: 41
SALEEM RAJA

Views: 19
SALEEM RAJA

In this video I complete a set of basic questions from "Numerical Analysis" by Burden & Faires. Chapter 1 section 1 on calculus review. This chapter introduces the Intermediate Value Theorem.
Music:
Mykola Leontovych "carol of the bells"
performed by Michael Rondeau
downloaded from the website www.musopen.org
https://musopen.org/music/2731/mykola-leontovych/carol-of-the-bells/

Views: 105
Classical Maths by Hand

Views: 48
SALEEM RAJA

Lecture - 1(a) Introduction to numerical analysis / numerical Methods

Views: 10033
najam

Views: 67
SALEEM RAJA

This video looks at how we can use Lagrange interpolation to approximate functions like we use Taylor's polynomials.
The xample used in this video is taken from Numerical Analysis by Burden, Faires & Burden, Cengage learning.

Views: 715
The Math Guy

Numerical Analysis - I, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2:SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method,
2-Fixed point iterative method,
3-Regula Falsi Method,
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 167
SALEEM RAJA

Calculus Review on Taylor Polynomials which is the first baby step towards beginning a course in Numerical Analysis.
"Numerical Analysis" Burden & Faires.
music:
"Missa Susanne un Jour" Kyrie
by: Orlande de Lassus
performed by: Stanislav Ossovskiy
downloaded from musopen.org
https://musopen.org/music/3718/orlande-de-lassus/missa-susanne-un-jour/

Views: 235
Classical Maths by Hand

using the text Burden and Faires "Numerical Analysis" 10 edition we complete part b of problem 1 from chapter 3 section 4. The topic is Hermitian polynomials and their use for approximating function when given data points; x, f(x), f'(x).
the music is from musopen and is a number from Sergei Prokofiev and is performed by Vadim Chaimovich.

Views: 3056
Classical Maths by Hand

Here is an exercise on lagrange polynomial construction using Burden and Faires as our guides from their textbook "Numerical Analysis" 10 edition chapter 3 section 1 problem 1 part b.

Views: 103
Classical Maths by Hand

Numerical Analysis - I, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2: SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method
2-Fixed point iterative method
3-Regula Falsi Method
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 622
SALEEM RAJA

Numerical Solution of Ordinary Differential Equation (ODE) - 1
Prof Usha
Department Of Mathemathics
IIT Madras

Views: 4800
Numerical Analysis

Views: 37
SALEEM RAJA

Views: 82
SALEEM RAJA

Views: 81
SALEEM RAJA

Bisection Method explained with examples in a short time ;)
Presenter: Atta Ulhaye

Views: 159133
Abdullah Sagheer

Views: 83
SALEEM RAJA

Views: 38
SALEEM RAJA

Views: 85
SALEEM RAJA

This video introduces some fundamental concepts in writing computer algorithms and the concept of convergence found in Section 1.3 of Burden and Faires' Numerical Analysis, 9th edition.

Views: 1620
Jen-Mei Chang

Views: 9
SALEEM RAJA

Views: 48
SALEEM RAJA

exercise in taylor polynomial construction using a not too simple function. problem 14 from "numerical analysis" by Burden & Faires chapter 1 section 1.
music:
"Concerto for Cello and Orchestra" - D minor
- I. Prelude. Lento
- Allegro maestoso
by:
Edouard Lalo
performed by:
European Archive
downloaded from www.musopen.org

Views: 26
Classical Maths by Hand

Numerical Analysis - I, 3 Cr. Hours,For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2: SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method
2-Fixed point iterative method
3-Regula Falsi Method
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 80
SALEEM RAJA

Views: 19
SALEEM RAJA

Completing a numerical analysis exercise from chapter 3 section 1 part A in the Burden and Faires 10th edition "Numerical Analysis".
Chapter 3 is on Interpolation.
Music for this video is public domain and found on Musopen.org and this track is "Elijah" by Mendelsshon and it is performed by Matthew Hughes.

Views: 239
Classical Maths by Hand

View more information on the DOE CSGF Program at http://www.krellinst.org/csgf.
Matthew Norman
North Carolina State University
Immense distributed-memory parallelism requires prioritizing the lowering of communication burden in numerical methods, and yet the explicit time steps must be maximized. Focusing on atmospheric simulation, I propose herein various characteristics-based (CB) integration methods. With fully discrete
explicit time stepping, CB methods reduce communication and synchronization while allowing large Courant-Friedrichs-Lewy (CFL) time steps. There will be discussion of theory, GPU implementation and efficiency, results, and future work

Views: 177
Krell Institute

Views: 115
SALEEM RAJA

Numerical Analysis - I, 3 Cr. Hours, For students of B.S./M.Sc.Mathematics, and Engineering etc.
CHAPTER-2: SOLUTION OF NON-LINEAR EQUATIONS
Iterative methods and convergence:
1-Bisection method,
2-Fixed point iterative method,
3-Regula Falsi Method,
4-Secant Method
5-Newton’s method
SPECIFIC OBJECTIVE OF THIS CHAPTER
After studying this chapter, you should be able to do independently
1-The skill to apply above numerical techniques or Methods for the solution of nonlinear equations in numerical analysis.
2-The skill to do calculations about errors that can occur in numerical methods i.e. error analysis for iterative methods in numerical analysis.
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)
5. Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers, 3rd edition,(McGraw Hill International Edition, 1998)

Views: 212
SALEEM RAJA

Views: 19
SALEEM RAJA

গ্ণিতে নিউমেরিক্যাল মেথড একটি গুরুত্বপূর্ণ অংশ। আমরা এখানে এই গউস সেন্ট্রাল ইন্টারপলেশন সম্পর্কে ধারণা দেয়ার চেষ্টা করব । আশা করি আপনাদের ভালো লাগবে।
Here i tried to give concept about Gaussian forward Interpolation formula... if there is any mistake or suggestion please comment...Thanks
some info:
In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.
In engineering and science, one often has a number of data points, obtained by sampling or experimentation....
https://en.wikipedia.org/wiki/Interpolation
The gaussian interpolation comes under the Central Difference Interpolation Formulae which differs from Newton's Forward interpolation formula formula.
https://www.mathworks.com/matlabcentral/fileexchange/42741-gaussian-forward-interpolation-formula
Newton's Interpolation Formula: Difference between the forward and the backward formula. I was taught that the forward formula should be used when calculating the value of a point near x0 and the backward one when calculating near xn. However, the interpolation polynomial is unique, so the value should be the same.
https://math.stackexchange.com/questions/624894/newtons-interpolation-formula-difference-between-the-forward-and-the-backward
আধুনিক জীবনে কম্পিউটারের ভূমিকার কথা আলাদা করে বলার কিছু নেই। মুভি দেখা থেকে শুরু করে গেমস খেলা, গান শোনা, নেট ব্রাউজিং- কী না আমরা কম্পিউটার দিয়ে করি। তো এসএসসি বা এইচএসসি পড়তে পড়তে কারও মাথায় ঢুকে যেতে পারে কম্পিউটার বিজ্ঞান নিয়ে পড়ার ভাবনা।..একদম মেইন মেইন সাবজেক্ট গুলোর কথাই বলা হল উপরে। যে কোন একটি বিষয়ে থিসিসের পাশাপাশি আরও পড়ানো হয় নিউমেরিক্যাল এনালাইসিস, ডাটা বেস, কম্পিউটার আর্কিটেকচার, ইকোনমিক্স, ইংলিশ ইত্যাদি।
http://10minuteschool.com/blog/computer-science-01/
u can also read:
কম্পিউটার ফান্ডামেন্টাল এন্ড নিউমেরিক্যাল এনালাইসিস
- আবুল হোসেন চৌধুরী
Numerical Analysis
-Richard L. Burden
Numerical Methods for Scientists and Engineers
-Richard Hamming
Numerical Recipes
-Saul Teukolsky and William H. Press
Introductory Methods of Numerical Analysis
- S. S. Sastry
Analysis of Numerical Methods
-Eugene Isaacson & Herbert Kelle

Views: 882
Virtual Classroom

DSCR or Debt Service Coverage Ratio is explained in hindi. DSCR is a coverage ratio that tells us whether a company can pay off its debts or loans.
Related Videos:
Interest Coverage Ratio - https://youtu.be/6lLYAlPDISE
Capital Gearing Ratio - https://youtu.be/V8kgmYdNgCg
Liquidity Ratios & Solvency Ratios - https://youtu.be/ZMSW9BYb_Yo
Debt To Equity Ratio - https://youtu.be/1_tsp82y9-c
Debt Ratio (Debt to Asset Ratio) - https://youtu.be/rKqcT0giY_A
Debt To Capital Ratio - https://youtu.be/BhfNAnkI5iY
DSCR को हिन्दी में समझाया गया है। DSCR एक coverage ratio है जो हमें बताता है कि कोई कंपनी अपने debts और loans का भुगतान कर सकती है या नहीं।
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In this video, we have explained:
What is DSCR and its formula?
Measures of company's cash flow to meet its debt obligation?
What is acceptable DSCR?
What is good income to debt ratio?
What percent of your income should go to mortgage?
What is the meaning of EBITDA?
In corporate finance, DSCR refers to the amount of cash flow available to meet annual interest and principal payments on debt, including sinking fund payments. In personal finance, DSCR refers to a ratio used by bank loan officers in determining debt servicing ability.
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Hope you liked this video in Hindi on “DSCR (Debt service coverage ratio)”.

Views: 14163
Asset Yogi