# Numerical Methods Questions and Answers

Our 1000+ Numerical Methods questions and answers focuses on all areas of Numerical Methods subject covering 100+ topics in Numerical Methods. These topics are chosen from a collection of most authoritative and best reference books on Numerical Methods. One should spend 1 hour daily for 2-3 months to learn and assimilate Numerical Methods comprehensively. This way of systematic learning will prepare anyone easily towards Numerical Methods interviews, online tests, examinations and certifications.

**Highlights**

– 1000+ Multiple Choice Questions & Answers in Numerical Methods with explanations

– Every MCQ set focuses on a specific topic in Numerical Methods Subject

**Who should Practice these Numerical Methods Questions?**

– Anyone wishing to sharpen their knowledge of Numerical Methods Subject

– Anyone preparing for aptitude test in Numerical Methods

– Anyone preparing for interviews (campus/off-campus interviews, walk-in interview and company interviews)

– Anyone preparing for entrance examinations and other competitive examinations

– All – Experienced, Freshers and Students

**Here’s list of Questions & Answers on Numerical Methods Subject covering 100+ topics:**

#### 1. Questions & Answers on Solution of Algebraic and Transcendental Equations

The section contains questions and answers on bisection method, regula falsi method, secant method, newton raphson method, transformation, polynomial synthetic division, iterative and iteration method, graphic solutions, convergence rate, mullers method, polynomial equations roots, multiple and complex roots using newton’s method, lin bairstow method and graeffe’s root squaring method.

Bisection Method – 1 Bisection Method – 2 Regula Falsi Method Secant Method Newton Raphson Method – 1 Newton Raphson Method – 2 Basic Properties and Transformation Synthetic Division of a Polynomial by a Linear Expression Iterative Method Graphic Solutions |
Rate of Convergence Iteration Method Deductions from Newton Raphson Method Muller’s Method Roots of Polynomials Equations Multiple Roots by Newton’s Method Complex roots by Newton’s Method Lin Bairstow Method Graeffe’s Root Squaring Method |

#### 2. Questions on Solution of Simultaneous Algebraic Equations

The section contains questions on determinants and matrices basics, ill conditioned equations, linear Simultaneous Equation solution using direct and iterative methods.

Introduction to Determinants Introduction to Matrices Solution of Linear Simultaneous Equation using Direct Methods |
Solution of Linear Simultaneous Equation using Iterative Methods ILL Conditioned Equations Solution of Non-Linear Simultaneous Equations |

#### 3. Questions & Answers on Matrix Inversion and Eigen Value Problems

The section contains questions and answers on matrix inversion, gauss elimination and jordan method, factorization, crout’s and gauss seidel methods, cramers rule, jacobi’s iteration method, partition and iterative method, eigen values and vectors, properties and bounds of eigen values, power method, given’s and house holder’s method.

Matrix Inversion Gauss Elimination Method – 1 Gauss Elimination Method – 2 Gauss Jordan Method – 1 Gauss Jordan Method – 2 Gauss Jordan Method – 3 Factorization Method Crout’s Method Gauss Seidel Method Cramer’s Rule |
Jacobi’s Iteration Method Partition Method Iterative Method Eigen Value and Eigen Vectors Properties of Eigen Values Bounds for Eigen Values Power Method Given’s Method House Holder’s Method |

#### 4. Questions on Empirical Laws and Curve Fitting

The section contains questions on graphical methods basics, linear laws, least squares principle and methods, finding curve types, unknowns plausible values, group averages and moments method.

Introduction and Graphical Methods Laws Reducible to the Linear Law Principle and Methods of Least Squares Fitting a Curve of a Type and Other Types |
Most Plausible Values of Unknowns Method of Group Averages Laws Containing Three Constants Method of Moments |

#### 5. Questions & Answers on Finite Differences

The section contains questions and answers on finite differences, polynomial differences, factorial notation, reciprocal factorial function, delta inverse operator, difference table errors, difference operators, operators relation, finding the missing tem using differences and summation series application.

Finite Differences Differences of a Polynomial Factorial Notation and Reciprocal Factorial Function Inverse Operator of Delta Error in Difference Table |
Difference Operators Relation between the Operators Finding Missing Term using Differences Application to Summation Series |

#### 6. Questions on Interpolation

The section contains questions on newton-gregory forward and backward interpolation formula, functions approximation using least square method, central difference interpolation formula, gauss forward and backward interpolation formula, stirling’s, laplace-everett’s and bessel’s formula, lagrange’s interpolation formula, divided and forward differences relation, hermite’s interpolation formula, spline, double and inverse interpolation, lagrange’s and iterative method.

Newton-Gregory Forward Interpolation Formula Approximation of Functions using Least Square Method Newton’s Backward Interpolation Formula Central Difference Interpolation Formula Gauss Forward Interpolation Formula Gauss Backward Interpolation Formula Stirling’s Formula Bessel’s Formula Laplace-Everett’s Formula Choice of an Interpolation Formula Interpolation with Unequal Intervals |
Lagrange’s Interpolation Formula Inverse Interpolation Using Lagrange’s Interpolation Formula Divided Differences Newton’s Divided Differences Formula Relation between Divided and Forward Differences Hermite’s Interpolation Formula Spline Interpolation Double Interpolation Inverse Interpolation Lagrange’s Method and Iterative Method |

#### 7. Questions & Answers on Numerical Differentiation and Integration

The section contains questions and answers on numerical differentiation, derivatives formulas, tabulated function maxima and minima, numerical integration, newton-cotes quadrature formulas, quadrature formulas errors, romberg’s method, euler-maclaurin formula, undetermined coefficients method, gaussian and numerical double integration.

Numerical Differentiation Formulas for Derivatives Maxima and Minima of a Tabulated Function Numerical Integration Newton-Cotes Quadrature Formulas Errors in Quadrature Formulas |
Romberg’s Method Euler-Maclaurin Formula Method of Undetermined Coefficients Gaussian Integration Numerical Double Integration |

#### 8. Questions on Difference Equations

The section contains questions on difference equations formation, rules for finding the complementary function and particular integral, simultaneous difference equations with constant coefficients and loaded string deflection application.

Formation of Difference Equations Rules for Finding the Complementary Function Rules for Finding the Particular Integral |
Difference Equations Reducible to Linear Form Simultaneous Difference Equations with Constant Coefficients Application to Deflection of a Loaded String |

#### 9. Questions & Answers on Numerical Solution of Ordinary Differential Equations

The section contains questions and answers on picard’s method, taylor’s and euler’s method, runge’s and runge-kutta method, predictor-corrector, milne’s and adams-bashforth-moulton method, second order differential equation, error analysis, method convergence, stability analysis, boundary value problems, finite difference and shooting method.

Picard’s Method of Successive Approximation Taylor’s Method Euler’s Method Modified Euler’s Method Runge’s Method Runge-Kutta Method Predictor-Corrector Method Milne’s Method Adams-Bashforth-Moulton Method |
Simultaneous First Order Differential Equation Second Order Differential Equation Error Analysis Convergence of a Method Stability Analysis Boundary Value Problems Finite Difference Method Shooting Method |

#### 10. Questions on Numerical Solution of Partial Differential Equations

The section contains questions on second order equation classification, partial derivatives approximations, elliptic equations, laplace’s and poisson’s equation solution, parabolic and hyperbolic equations, one and two dimensional heat equation solution, 1d and 2d wave equation numerical solutions.

Classification of Second Order Equation Finite Difference Approximations to Partial Derivatives Elliptic Equations Solution of Laplace’s Equation Solution of Poisson’s Equation Solution of Elliptic Equations by Relaxation Method |
Parabolic Equation Solution of One Dimensional Heat Equation Solution of Two Dimensional Heat Equation Hyperbolic Equations Numerical Solutions to 1D Wave Equation Numerical Solution to 2D Wave Equation |

Here’s the list of Best Reference Books in Numerical Methods.

**Wish you the best in your endeavor to learn and master Numerical Methods!**