Recommendations for Numerical Analysis book covering specific requirements?
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I have a numerical analysis course, Course content is as follows can anyone recommend me a good book or several books which covers these areas. If the book gives an intuitive idea it would be better.
Solving system of linear equations
- Direct Methods
• Algebraic Process
• Gaussian Elimination
• Gauss-Jordan Elimination
• Matrix-Factorization (Triangularization)
- Iterative Methods
• Gauss-Jacobi Method
• Gauss-Seidel Method
• Convergence of Relaxation
Interpolation Methods
•Linear Interpolation
•Newton’s Divided Difference Formula
(Polynomial Approximations)
•Newton’s Forward Difference Interpolation
•Cubic Spline Interpolation
Solving ODE
•Method of Starting the solution
(Taylor (power) series approach)
•Picard’s Method of Successive Approximations
•Euler’s Method
•Improved Euler’s Method
•Modified Euler’s Method
•Runge-KuttaMethod
•Predictor-Corrector Method
ordinary-differential-equations reference-request numerical-methods systems-of-equations interpolation
asked Dec 11 '18 at 1:44
thomsonthomson
16110
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add a comment |
$begingroup$
I have a numerical analysis course, Course content is as follows can anyone recommend me a good book or several books which covers these areas. If the book gives an intuitive idea it would be better.
Solving system of linear equations
- Direct Methods
• Algebraic Process
• Gaussian Elimination
• Gauss-Jordan Elimination
• Matrix-Factorization (Triangularization)
- Iterative Methods
• Gauss-Jacobi Method
• Gauss-Seidel Method
• Convergence of Relaxation
Interpolation Methods
•Linear Interpolation
•Newton’s Divided Difference Formula
(Polynomial Approximations)
•Newton’s Forward Difference Interpolation
•Cubic Spline Interpolation
Solving ODE
•Method of Starting the solution
(Taylor (power) series approach)
•Picard’s Method of Successive Approximations
•Euler’s Method
•Improved Euler’s Method
•Modified Euler’s Method
•Runge-KuttaMethod
•Predictor-Corrector Method
ordinary-differential-equations reference-request numerical-methods systems-of-equations interpolation
asked Dec 11 '18 at 1:44
thomsonthomson
16110
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2
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Store and Bulirsch is another good book to be aware of.
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– littleO
Dec 11 '18 at 2:55
add a comment |
$begingroup$
I have a numerical analysis course, Course content is as follows can anyone recommend me a good book or several books which covers these areas. If the book gives an intuitive idea it would be better.
Solving system of linear equations
- Direct Methods
• Algebraic Process
• Gaussian Elimination
• Gauss-Jordan Elimination
• Matrix-Factorization (Triangularization)
- Iterative Methods
• Gauss-Jacobi Method
• Gauss-Seidel Method
• Convergence of Relaxation
Interpolation Methods
•Linear Interpolation
•Newton’s Divided Difference Formula
(Polynomial Approximations)
•Newton’s Forward Difference Interpolation
•Cubic Spline Interpolation
Solving ODE
•Method of Starting the solution
(Taylor (power) series approach)
•Picard’s Method of Successive Approximations
•Euler’s Method
•Improved Euler’s Method
•Modified Euler’s Method
•Runge-KuttaMethod
•Predictor-Corrector Method
ordinary-differential-equations reference-request numerical-methods systems-of-equations interpolation
asked Dec 11 '18 at 1:44
thomsonthomson
16110
$endgroup$
I have a numerical analysis course, Course content is as follows can anyone recommend me a good book or several books which covers these areas. If the book gives an intuitive idea it would be better.
Solving system of linear equations
- Direct Methods
• Algebraic Process
• Gaussian Elimination
• Gauss-Jordan Elimination
• Matrix-Factorization (Triangularization)
- Iterative Methods
• Gauss-Jacobi Method
• Gauss-Seidel Method
• Convergence of Relaxation
Interpolation Methods
•Linear Interpolation
•Newton’s Divided Difference Formula
(Polynomial Approximations)
•Newton’s Forward Difference Interpolation
•Cubic Spline Interpolation
Solving ODE
•Method of Starting the solution
(Taylor (power) series approach)
•Picard’s Method of Successive Approximations
•Euler’s Method
•Improved Euler’s Method
•Modified Euler’s Method
•Runge-KuttaMethod
•Predictor-Corrector Method
ordinary-differential-equations reference-request numerical-methods systems-of-equations interpolation
ordinary-differential-equations reference-request numerical-methods systems-of-equations interpolation
asked Dec 11 '18 at 1:44
thomsonthomson
16110
asked Dec 11 '18 at 1:44
thomsonthomson
16110
asked Dec 11 '18 at 1:44
thomsonthomson
16110
asked Dec 11 '18 at 1:44
thomsonthomson
16110
asked Dec 11 '18 at 1:44
thomsonthomson
16110
16110
2
$begingroup$
Store and Bulirsch is another good book to be aware of.
$endgroup$
– littleO
Dec 11 '18 at 2:55
add a comment |
2
$begingroup$
Store and Bulirsch is another good book to be aware of.
$endgroup$
– littleO
Dec 11 '18 at 2:55
2
2
$begingroup$
Store and Bulirsch is another good book to be aware of.
$endgroup$
– littleO
Dec 11 '18 at 2:55
$begingroup$
Store and Bulirsch is another good book to be aware of.
$endgroup$
– littleO
Dec 11 '18 at 2:55
add a comment |
1 Answer
1
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Numerical Analysis by Richard L. Burden and J. Douglas Faires covers all the topics you have mentioned and it's a good book with proper explanations.
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
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1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
add a comment |
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1 Answer
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1 Answer
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$begingroup$
Numerical Analysis by Richard L. Burden and J. Douglas Faires covers all the topics you have mentioned and it's a good book with proper explanations.
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
$endgroup$
1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
add a comment |
$begingroup$
Numerical Analysis by Richard L. Burden and J. Douglas Faires covers all the topics you have mentioned and it's a good book with proper explanations.
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
$endgroup$
1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
add a comment |
$begingroup$
Numerical Analysis by Richard L. Burden and J. Douglas Faires covers all the topics you have mentioned and it's a good book with proper explanations.
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
$endgroup$
Numerical Analysis by Richard L. Burden and J. Douglas Faires covers all the topics you have mentioned and it's a good book with proper explanations.
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
answered Dec 11 '18 at 2:49
Thomas ShelbyThomas Shelby
3,4791525
3,4791525
1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
add a comment |
1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
1
1
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
$begingroup$
Thank you very much
$endgroup$
– thomson
Dec 11 '18 at 7:09
add a comment |
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Store and Bulirsch is another good book to be aware of.
$endgroup$
– littleO
Dec 11 '18 at 2:55