
Anna Numerical Methods SemIII Unit 2 : Interpolatation and Approximation(Interpolation with unequal intervals  Lagrange interpolation  Newton's divided difference interpolation  Cubic Splines  Interpolation with equal intervals  Newton's forward and
backward difference formulae  Least square method  Linear curve fitting) 


1. Lagrange and Newton Interpolations and Finite Difference Operators(Mathematics) 
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There are two main uses of .interpolation or 'interpolating polynomials. The first use is in reconstructing the function f(x) when it is not given explicitly and only the value of f(x) and / or its certain order derivatives at it set of points, called nodes; tabular points or arguments are known. The second use is to replace the function f(x) by and interpolating polynomial P(x) so that many commo
......
Title: Math 2.4 Numerical Analysis




2. Numerical Differentiation(Physics) 
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The method of finding derivatives analytically are well established when the functional relation between the dependent variable y and the independent variable x is known. However, in many practical situations like that of experimental data generated, the explicit relation between the dependent and independent variables is unknown
Title: Concise Physics BSc VI Semester Volume 8 (603)




3. Numerical Methods II(Mathematics) 
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Interpolation is the `art of reading between the lines in a table'. To explain this briey, suppose that a data consisting of (n + 1) ordered pairs of values of the form (xi; yi); i = 0; 1; 2; _ _ _ ; n; is available. Let yi be the value of an unknown function of x at x = xi. A question of practical importance here is, what is the value of y at x = ~x where ~x is none of xi; i = 0; 1; 2; _ _ _ ; n,
......
Title: Engineering Mathematics  III




4. Numerical MethodsII(Mathematics III) 
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This chapter is a continuation of Chapter 6. Here, we consider the topic of
Finite Differences with applications to Interpolation and Integration.
Title: Engineering Mathematics Part  III




5. Numerical Methods  I(Mathematics III) 
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In this chapter we first present some numerical methods of solving algebraic and transcendental equations. Then we consider the GaussSeidel method and the Relaxation method of solving systems of linear equations. Lastly, we consider the power method of finding the largest eigenvalue of a square matrix.
Title: Engineering Mathematics Part  III




6. Mathematical Modeling(Physics) 
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Algorithms, modeling and simulation in physics, Errors in numerical calculations, Roots of an equation : NewtonRaphson method and Bisection method. Application using Bisection method for LCR transient circuit (to determine R for given values of L and C for a prespecified rate of dissipation of energy), program in C
Title: Concise Physics BSc VI Semester Volume 8 (603)








7. Statistical MethodsI Curve Fitting, Correlation and Regression(Engineering Mathematics  IV
) 
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Review of Essential Basic Results, Curve Fitting by the Method of Least Squares, Correlation, Regression Analysis
Title: Engineering Mathematics  IV




8. Data Reduction(Computer Science) 
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Data reduction techniques can be applied to obtain a reduced representation of the data set that is much smaller in volume, yet closely maintains the integrity of the original data. That is, mining on the reduced data set should be more efficient yet produce the same (or almost the same)analytical results.
Title: MSCS516A Data Mining




9. Chapter 10 * Error Analysis(Physics) 
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Doing experiments and making measurements give the comprehension of the physical world. An
experiment is essentially an organized set of observations of a device or phenomenon. The observations
may be qualitative or quantitative. Quantitative observations require the use of some kind of measurement system. Such systems vary from the very simple to the very complex. Instrumentation is an expertis
......
Title: A Textbook on Research Methodology
Published on: 27/02/19
Author:
Publisher:
Pages:
20








10. SECOND YEAR HANDBOOK (Mechanical Engineering) 
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The Hand Book provides you the detailed Syllabus and Exam Pattern of REVA University
Title: MECHANICAL ENGINEERINGHANDBOOK





11. Hermite Interpolation, Piecewise and Spline Interpolation and Bivariate Interpolation(Mathematics) 
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The Hermite interpolating polynomial interpolates not only the function f(x) but also its (certain order) derivatives at a given set of tabular points.
Title: Math 2.4 Numerical Analysis




12. Introduction to Finite Element Method(Finite Element Method) 
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Introduction, General Description of the Finite Element Method, List of Steps Involved in the Finite Element Method, Engineering Applications of Finite Element Method, Advantages of the Finite Element Method.
Title: Finite Element Method





13. Introduction of Scientific Research and Good Scientific Practices (GSP)(Clinical Nutrition and Dietetics) 
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The scientific enterprise is built on a foundation of trust. Society trusts that scientific research results are an honest and accurate reflection of a researcher's work. Researchers equally trust that their colleagues have gathered data carefully, have used appropriate analytic and statistical techniques, have reported their results accurately, and have treated the work of other researchers with
......
Title: MSc.CND103 Research Methods and Biostatistics




14. Numerical Differentiation(Mathematics) 
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There are several methods available to find the derivative of a function f(x) in closed form. However, when f(x) is a complicated function or when it is given in a tabular form, we use numerical methods.
Title: Math 2.4 Numerical Analysis




15. Difference Equations and Generating Functions(Mathematics) 
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After going through this unit we can define and construct generating functions for sequences arising in various types of combination problems. Also we use generating functions to find the number of integer solution to linear equations. We solve recurrence relation using generating functions.
Title: Math 1.4 Discrete Mathematics




16. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) 
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Introduction, Theoretical Algorithms, Computational Algorithms, Optimization of Computational Grids , Parallel Computational Computing.
Title: Aerodynamics Airworthiness




17. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) 
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• Introduction
• Theoretical Algorithms
• Computational Algorithms, Optimization of Computational Grids
• Parallel Computational Computing
Title: Aerodynamics Airworthiness




18. Numerical Methods for Ordinary Differential Equations(Engineering Mathematics  IV
) 
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Introduction, Preliminaries, TaylorSeries Method, Modified Euler's Method, RungeKutta Methods, MultiStep Predictor  Corrector Methods
Title: Engineering Mathematics  IV




19. Numerical Methods I(Mathematics) 
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In the process of analysing problems in engineering, the analysts come across systems of equations which belong to different categories like, linear algebraic, nonlinear, transcendental, differential and integral equations. School level mathematics and elementary engineering mathematics include, among other topics, solution aspects of certain simple classes of equations. But, in many contexts, it
......
Title: Engineering Mathematics  III





20. Dynamic Analysis(Finite Element Method) 
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Introduction, Equation Of Motion, Orthogonality Of The Eigenvectors, Formulation Of Inertial Properties, Solution Techniques For Eigenproblems.
Title: Finite Element Method








21. Curve Fitting(Mathematics III) 
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In this chapter, we consider the topic of curvefitting by the method of least
squares.
Title: Engineering Mathematics Part  III





23. INPUT MODELING(Computer Science) 
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Input data provide the driving force for a simulation model. In the simulation of a queuing system, typical input data are the distributions of time between arrivals and service times
Title: System Modeling and Simulation
Published on: 05/10/18
Author:
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Pages:
9









25. Groups, subgroups and Lagrange's theorem(Mathematics) 
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Among several algebraic structures that appear in mathematics, groups are the simplest one. Originally groups consisted of only transformation groups and later in 19th century groups appeared in the context of theory of algebraic equations. Later, to be exact in 1882, these were generalized to abstract groups defined by a set of axioms.
Title: Math 1.1 Algebra






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