Questions on numerical methods

The Newton- Raphson method is applied once to get a new estimate and then the Secant method is applied once using the initial guess and this new estimate. There is no value of x that can simultaneously satisfy both the given equations. Take the step length as 1. The values of x 0 and f x 0 are The table below gives values of a function F x obtained for values of x at intervals of 0.

In the solution of the following set of linear equations by Gauss elimination using partial pivoting. The pivots for elimination of x and y are. The following equation needs to be numerically solved using the Newton-Raphson method.

This is not the official website of GATE. It is our sincere effort to help you. Numerical Methods 16 Question s Numerical solutions of linear and non-linear algebraic equationsIntegration by trapezoidal ruleIntegration by Simpson's ruleSingle-step methods for differential equationsMulti-step methods for differential equations.

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Exam-style Questions: Numerical Methods

Questions on numerical methods; methods for approximately solving various problems that often do not admit exact solutions. Such problems can be in various field. Numerical methods provide a way to solve problems quickly and easily compared to analytic solutions.

Home Questions Tags Users Unanswered. Questions tagged [numerical-methods]. Ask Question. Learn more… Top users Synonyms 2. Filter by. Sorted by. Tagged with. Apply filter. Webb 13 4 4 bronze badges. So how would I discretize the momentum term in the Boltzmann transport equation using finite differences? I see a bunch of articles on how to compute a BTE using monte Carlo method, but none using Washcloth 6 6 bronze badges.

Questions about Vandermonde matrix? I was using Greenbaum and Chartier's book on Numerical Methods, and I came across these lines, which I am confused by. Then these data points can be expressed Oishika 6 6 bronze badges. Any inputs or comments Quasar 1, 6 6 silver badges 23 23 bronze badges.Simultaneous method B.

Diagonal method C. Displacement method D. Simultaneous displacement method Answer - Click Here: D. How much significant digits in this number Which one of convergence is sensitive to starting value?

Numerical Methods Questions

Newton-Raphson method B. False position C. Gauss seidel method D. All of these Answer - Click Here: A. What is required to perform a Chi-square test? Data be measured on a nominal scale B. Each cell has an equal number of frequencies C.

Data conform to a normal distribution D. All of these Answer - Click Here: D. What is the expected value of the random variable? Is another term for the mean value B. Will also be the most likely value of the random variable C. Cannot be greater than 1 D. Is also called the variance Answer - Click Here: A. None of these Answer - Click Here: B. Newton-Raphson method is useable to? Algebraic equations only B. Transcendental equations only C.

Both algebraic and Transcendental Equations D. Both algebraic and transcendental and also used when the roots are complex Answer - Click Here: C. Your email address will not be published. Java development Trends In the Java development realm, developers are found struggling to keep themselves updated with the upcoming changes in JVM programming languages, IDEs, tools and more.

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Numerical Methods. Numerical Methods Question and Fill in the Blanks. In which of the following method, we approximate the curve of solution by the tangent in each interval. Runge Kutta method. Ans- B. The convergence of which of the following method is sensitive to starting value? False position. Gauss seidal method. Newton-Raphson method. All of these. If iterations are started from - 1, then iterations will be. Which of the following statements applies to the bisection method used for finding roots of functions? Converges within a few iterations. Is faster than the Newton-Raphson method. Requires that there be no error in determining the sign of the function.

None of these. In the Gauss elimination method for solving a system of linear algebraic equations,triangularzation leads to. Diagonal matrix. Lower triangular matrix. Upper triangular matrix. Singular matrix. Two fitted lines must coincide. Two fitted lines need not coincide. Ans - D.

Regular Falsi Method Part-II - Numerical Methods

Newton-Raphson method of solution of numerical equation is not preferred when. Graph of A B is vertical. Graph of x y is not parallel. The graph of f x is nearly horizontal-where it crosses the x-axis. Newton-Raphson method is applicable to the solution of. Both algebraic and transcendental Equations.