Engineering
Numerical Methods
Train on Numerical Methods with 315 published problems. Preview a problem, explore the course outline, and work through one problem at a time.
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Course topics
Course topics
Floating-point arithmetic, conditioning, and stability
Root finding and nonlinear systems
Linear systems, least squares, and eigenproblems
Interpolation and approximation
Numerical differentiation and quadrature
Numerical ODE and introductory PDE methods
Practice problems
Try a few Numerical Methods problems, each with a hint.
- A decimal floating-point system uses base β = 10, precision t = 4, and exponent range… Free with an accountFloating-point arithmetic, conditioning, and stability
- In four-digit decimal floating-point arithmetic with rounding to nearest, compute… Free with an accountFloating-point arithmetic, conditioning, and stability
- Let g be continuously differentiable on an open interval containing a fixed point… Root finding and nonlinear systems
- Let A ∈ ℝ^(n×n) be strictly row-diagonally dominant, and let G_J=D⁻¹(L+U) be the Jacobi… Linear systems, least squares, and eigenproblems
- The values f(1.0)=2.7183, f(1.1)=3.0042, f(1.2)=3.3201, and f(1.3)=3.6693 are given… Interpolation and approximation
- A fixed-point rearrangement is useless unless it contracts on an invariant interval Root finding and nonlinear systems
- Two conjugate-gradient steps close an SPD two-by-two residual Linear systems, least squares, and eigenproblems
- Matching values and derivatives needs repeated-node divided differences Interpolation and approximation
- Two Gauss nodes integrate cubics exactly and miss a concrete quartic Numerical differentiation and quadrature
- Linear shooting hits the far boundary in one sensitivity step Numerical ODE and introductory PDE methods