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MATH 660

Numerical Partial Differential Equations

Jianfeng Lu

Description from DukeHub

Introduction to important classes of numerical methods for partial differential equations, notably finite difference and finite element methods. Emphasis on a solid understanding of the accuracy of these methods, with a view toward the interplay between theory and practice. Topics may include finite difference and finite element methods for elliptic equations; finite difference methods for parabolic equations; and numerical methods for hyperbolic equations and conservation laws. Prerequisite: Mathematics 561, 563, or consent of instructor.

Skills

AI-resilient: 1 of 5

  • No: Physical, lab or field work
  • No: Live work with people
  • Yes: Judgment someone is accountable for · "laws"
  • No: A craft you practice with your hands or body
  • No: Small, in-person format

The checks lean on Microsoft Research, Working with AI (2025), which found generative AI applies least to physical work and hands-on work with people. A signal, not a promise. How the score works

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