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MSRIT Numerical and Mathematical Biology Sem 3
Unit 3 : Finite Differences and Interpolation(Forward and backward differences, Interpolation, Newton-Gregory forward and backward Interpolation formulae, Lagrange s interpolation formula, Newton s divided difference interpolation formula (no proof))
1. Hermite Interpolation, Piecewise and Spline Interpolation and Bivariate Interpolation(Mathematics) Total View (340)

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:
 Published on: 01/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 13
 Price: Rs 9.75

2. Numerical Differentiation(Mathematics) Total View (340)

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.
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 Published on: 01/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 13
 Price: Rs 9.75

3. Lagrange and Newton Interpolations and Finite Difference Operators(Mathematics) Total View (679)

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 ......
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 Published on: 01/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 14
 Price: Rs 10.5

4. Numerical Methods-II(Mathematics III) Total View (289)

This chapter is a continuation of Chapter 6. Here, we consider the topic of Finite Differences with applications to Interpolation and Integration.
Title:
 Published on: 14/07/14 Author: Chandrasekharaiah D S (DSC) Publisher: Prism Books Pvt Ltd Pages: 69
 Price: Rs 51.75

5. Introduction to Finite Element Method(Finite Element Method) Total View (5388)

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.
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 Published on: 23/12/14 Author: Murigendrappa S M Publisher: Interlinepublishing Pages: 4
 Price: Rs 0

6. Introduction to Wildlife Biology(Environmental Science and Technology) Total View (418)

Wildlife means all living things that are found outside direct human control. It includes plants, animals and microbes that are not cultivated or reared by man. Some people use the term wildlife only to large organisms that are living in the forests. In fact wildlife includes all organisms right from bacteria, many microscopic organisms like protozoa, fungi, worms, insects, frogs, birds, mammals, ......
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 Published on: 23/09/13 Author: KSOU Publisher: Karnataka State Open University Pages: 11
 Price: Rs 8.25

7. Fundamental Numerical Computations(Mathematics) Total View (972)

In this unit, students will be able to study the Logic, algorithm, program and sample output of sum of first 10 terms of sine series, the entered number is prime number or not, sum of two matrices, A+ B, and product of two matrices A *B and finally, the factorial of a number.
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 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 12
 Price: Rs 9

8. Mathematical Modeling of Some Fundamental Problems(Mathematics) Total View (910)

Mathematical Modeling in terms of differential equations arises when the situation modeled involves some continuous variables varying with respect to other continuous variables and we have reasonable hypothesis about the rate of change of dependent variables with respect to independent variables. Mathematical models in terms of ordinary differential equations will be studied in this unit and the u ......
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 16
 Price: Rs 12

9. Mathematical Modelling through System of Differential Equations(Mathematics) Total View (989)

In mathematics, an ordinary differential equation (ODE) is an equation in which there is only one independent variable and one or more derivatives of a dependent variable with respect to the independent variable, so that all the derivatives occurring in the equation are ordinary derivatives.
Title:
 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 19
 Price: Rs 14.25

10. Numerical Differentiation and Integration(Mathematics) Total View (985)

In this unit deals with Trapezoidal rule, Simpson's 1/3rd and 3/8 rule, Weddle's rule and Runge-Kutta 2nd and 4th order. The evaluation of expressions involving these integrals can become daunting, if not indeterminate. For this reason, a wide variety of numerical methods has been developed to simplify the integral.
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 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 16
 Price: Rs 12

11. Numerical Methods II(Mathematics) Total View (330)

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, ......
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 Published on: 17/03/14 Author: Pandurangappa C Publisher: Sanguine Technical Publishers Pages: 77
 Price: Rs 57.75

12. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) Total View (5252)

Introduction, Theoretical Algorithms, Computational Algorithms, Optimization of Computational Grids , Parallel Computational Computing.
Title:
 Published on: 01/07/13 Author: Gupta S C Publisher: Interlinepublishing Pages: 28
 Price: Rs 21

13. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) Total View (5)

• Introduction • Theoretical Algorithms • Computational Algorithms, Optimization of Computational Grids • Parallel Computational Computing
Title:
 Published on: 28/10/14 Author: Gupta S C Publisher: Interlinepublishing Pages: 28
 Price: Rs 21

14. Introduction to mathematical Modeling(Mathematics) Total View (913)

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used not only in the natural sciences such as physics, biology, earth science, meteorology and engineering disciplines like computer science, artificial intelligence, but also in the social sciences Physi ......
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 17
 Price: Rs 0

15. Mathematical Modelling for Convection Diffusion and Reaction Processes(Mathematics) Total View (971)

After studying this unit, students will be able to analyse about convection diffusion processes-Burger's equation which will cover Burger's equation and the plane wave solution, Cole-Hopf transformation and the exact solution of Burger's equation. They will also be able to explain asymptotic behavior of the exact solution of Burger's equation and Burger's initial and boundary value problem and exp ......
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 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 32
 Price: Rs 24

16. Mathematical Logic -Part II(Information Technology) Total View (212)

In this unit concepts like equivalence of WFFs, tautological implication, duality of WFF, two important normal forms namely disjunctive and conjunctive forms and finally inference process given some set of premises are discussed in various sections, in detail with several examples.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 14
 Price: Rs 10.5

17. Mathematical Modelling for Suspended Particulate Matter(Mathematics) Total View (978)

Suspended Particulate Matter (SPM) is solid and liquid particle suspended in ambient air of which particle size is not more than 10 micro-m. In this unit, we have considered the effects of SPM on human body and climate etc.
Title:
 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 23
 Price: Rs 17.25

18. Mathematical Modelling through Second Order Differential Equations(Mathematics) Total View (981)

Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in price of commodities, the flow of fluids, the concentration of chemicals, etc., often lead to differential equation. Such equations may depend on one or more independent variables.
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 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 11
 Price: Rs 8.25

19. Mathematical Principles of Air Pollution(Mathematics) Total View (1000)

After studying this unit, students will be able to construct and analyse mathematical principle of air pollution using gradient diffusion model. They will also be able to explain conservation of mass, conservation of momentum and conservation of species/turbulent flow in the atmosphere.
Title:
 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 11
 Price: Rs 8.25

20. Setting up of First Order Differential Equations and their Solutions(Mathematics) Total View (927)

Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in prices of commodities, the flow of fluids, the concentration of chemicals etc., often lead to differential equations. Such equations may depend on one or more independent variables. Further, it may include the derivatives of the first or high ......
Title:
 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 21
 Price: Rs 15.75

21. Limitations of Mathematical Modeling(Mathematics) Total View (906)

A crucial part of the modeling process is the evaluation of whether or not a given mathematical model describes a system accurately. This question can be difficult to answer as it involves several different types of evaluation. In this regard we have discussed the limitations of modeling in following sections.
Title:
 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 3
 Price: Rs 2.25

22. Mathematical Logic -Part I(Information Technology) Total View (213)

Logic is the discipline that deals with the methods of reasoning. On an elementary level, logic provides rules and techniques to determine whether a given statement (argumep') is valid. Logical reasoning is used in mathematics to prove theorems, and in computer science to verify the covertness of programs. Logic has its applications in various other fields such as natural science, social science a ......
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 12
 Price: Rs 0

23. Finite Automata and Conversion from NFA to DFA(Computer Science) Total View (288)

The extension to NFA - a "feature" called epsilon transitions, denoted by E, the empty string. The E transition lets us spontaneously take a transition, without receiving an input symbol. This is another mechanism that allows NFA to be in multiple states at once.
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 Published on: 28/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 12
 Price: Rs 9

24. Numerical Solution of System of Linear Equations(Mathematics) Total View (981)

This unit deals with the various direct methods of solving linear system of simultaneous equations, the prominent methods being the Gauss elimination and the iterative procedures of Gauss-Seidels are explored.
Title:
 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 12
 Price: Rs 9

25. Predictor-Corrector Methods and Stiff System(Mathematics) Total View (359)

We shall discuss the application of the explicit and implicit multi-step methods for the solution of the initial value problems in this unit.
Title:
 Published on: 01/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 17
 Price: Rs 12.75