Numerical Analysis
31 questions across 5 topics. Also examined in CNET, ISS.
Finite Differences, Lagrange/Hermite/Spline Interpolation
- 76Numerical analysis — nablaDelta=Delta-nabla=delta^2MSET June 2025Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 77Numerical analysis — nth difference of a degree-n polynomialMSET June 2025Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 78Numerical analysis — divided differences are linearMSET June 2025Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 80Numerical analysis — differences of an exponentialMSET June 2025Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 76Finite differences — the averaging operator in terms of the shiftMSET April 2024Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 78The first divided difference of 1/x^2MSET April 2024Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 81Finite differences — the nth difference of a degree-n polynomialMSET April 2024Finite Differences, Lagrange/Hermite/Spline InterpolationMedium
- 76Finite differences of the factorial polynomialMSET March 2023Finite Differences, Lagrange/Hermite/Spline InterpolationMedium
- 77nth forward difference of the exponential functionMSET March 2023Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 79Equivalent central-difference interpolation formulasMSET March 2023Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 80Fifth difference of a degree-5 polynomialMSET March 2023Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 81Finding a missing table entry by forcing the top difference to vanishMSET March 2023Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 89Third divided difference of 1/xMSET September 2021Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 90Newton's forward-difference interpolation, worked to a cubicMSET September 2021Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 89Testing the standard finite-difference operator identitiesMSET December 2020Finite Differences, Lagrange/Hermite/Spline InterpolationMedium
- 90Recovering a missing table value by forcing the fourth difference to vanishMSET December 2020Finite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 89delta is a difference E^1/2-E^-1/2, not a sumMSET June 2019Finite Differences, Lagrange/Hermite/Spline InterpolationMedium
- 65Delta^2E^-1x^2=Delta^2(x-1)^2=2MSET January 2018 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 66A repeated node and a misprinted option: the intended cubic is 2x^3-7x^2+6x+1MSET January 2018 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationMedium
- 68Delta^5u0=sumk(-1)^5-kbinom5kukMSET January 2018 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 65Delta+nabla=E-E^-1, not EMSET April 2017 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 66The linear Lagrange interpolantMSET April 2017 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationEasy
- 68Divided differences of 1/x alternate: f[a,b,c,d]=-1/(abcd)MSET April 2017 Paper IIIFinite Differences, Lagrange/Hermite/Spline InterpolationMedium
Numerical Differentiation and Integration
- 79Numerical analysis — composite trapezoidal error is O(h^2)MSET June 2025Numerical Differentiation and IntegrationEasy
- 81Numerical analysis — composite Simpson's one-third ruleMSET June 2025Numerical Differentiation and IntegrationEasy
- 91The standard Trapezoidal ruleMSET December 2020Numerical Differentiation and IntegrationMedium
- 67Simpson's one-third rule with eight stripsMSET January 2018 Paper IIINumerical Differentiation and IntegrationEasy