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    • Tropical Cyclones
      • Tropical cyclone climatology and overview
      • Tropical cyclone life cycle and motion
      • Tropical cyclone structure
      • Hurricane forecasting learning material
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      • Storm surge
      • TUTTs and LA/MS flood event of 2016
    • Ocean applications
      • Waves
      • Tides
      • Miscellaneous ocean products
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    • Regression, MOS, and NBM
    • Forecasting baroclinic systems and other products
      • Analysis
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      • Model Output Statistics and National Blend of Models
      • Useful forecast products
  • Synoptic class
    • Syllabus
    • Exam Information
    • Homework
    • Stability
      • The Basics
      • The SkewT and related diagnostic tools
      • POP, air mass thunderstorms, sea breeze thunderstorms
      • Severe Weather
    • Map analysis
      • Upper-level synoptic charts
      • Contouring
      • Surface analysis and fronts
      • Vertical structure
      • Jet Streaks
    • Dynamics
      • Review of dynamics
      • Dynamics applications
      • QG Theory and the Omega equation
      • Cyclogenesis and baroclinic instability
    • Modeling
    • Fog
    • Winter Weather
  • Intro Dynamics
    • Syllabus
    • Homework
    • Sample exam questions
    • Introduction (Chap. 1, HH)
    • Basic equations of meteorology (Chap. 2, HH)
    • Imbedded processes in equations of meteorology (Chap. 3, HH). Exam 2 material
    • Imbedded processes in equations of meteorology (Chap. 3, HH). Exam 3 material
    • Planetary boundary layer
    • Vorticity (Chap.4, HH)
    • Pertubation method and atmospheric waves (Chap 5, HH)
  • Numerical methods
    • Syllabus
    • Homework
    • Number Series
    • Interpolation
    • Basic matrix math
    • Filters And Fourier Analysis
    • Numerical derivatives
    • Numerical integration, random numbers, and Monte Carlo
    • Numerical solutions of differential equations and atmospheric modeling
    • Parameterization, data assimilation, and overview on WRF model
    • Final computer exercises
  • Dashboard
Numerical methods is a large, encompassing field utilized throughout the sciences and engineering. These are numerical tools designed to solve mathematical problems. This class is an introduction of some common techniques used in the atmospheric sciences. Students will learn number series, interpolation, Fourier (harmonic) series, bandpass filters, and random number applications; techniques for computing derivatives and integrals;  finite difference techniques to ordinary differential equations for advection and trajectories; and numerical solutions to partial differential equations. The homework will be hand exercises, spreadsheet applications, Matlab examples, and FORTRAN code. Examples using python, Mathematica, IDL, ncl, and other tools will be shown as well. Practical examples to meteorology will be illustrated throughout the semester, as well as map projection and wind coordinate concepts.

The class will consist of two closed-book exams (45% of grade), a final (30% of grade), and homework (25% of grade). We will have many in-class sessions for the homework. The homework is imperative to the exams. Without learning the homework, you will likely do poorly on the exams. 

Tentative Schedule

Exam 1 - Wednesday, March 8
Exam 2 - Wednesday, April 12
Final exam - Friday, April 28, 8AM 

Spreadsheets are an important tool for this class. The chandoo.org website is an excellent source for Excel tutorials.
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  • Home
  • Contact information
  • Synoptic lab
    • Syllabus
    • Take-home exams
    • Homework
    • Tropical Cyclones
      • Tropical cyclone climatology and overview
      • Tropical cyclone life cycle and motion
      • Tropical cyclone structure
      • Hurricane forecasting learning material
      • Hurricane forecasting tools
      • Storm surge
      • TUTTs and LA/MS flood event of 2016
    • Ocean applications
      • Waves
      • Tides
      • Miscellaneous ocean products
    • Streamlines
    • Regression, MOS, and NBM
    • Forecasting baroclinic systems and other products
      • Analysis
      • Model guidance
      • Model Output Statistics and National Blend of Models
      • Useful forecast products
  • Synoptic class
    • Syllabus
    • Exam Information
    • Homework
    • Stability
      • The Basics
      • The SkewT and related diagnostic tools
      • POP, air mass thunderstorms, sea breeze thunderstorms
      • Severe Weather
    • Map analysis
      • Upper-level synoptic charts
      • Contouring
      • Surface analysis and fronts
      • Vertical structure
      • Jet Streaks
    • Dynamics
      • Review of dynamics
      • Dynamics applications
      • QG Theory and the Omega equation
      • Cyclogenesis and baroclinic instability
    • Modeling
    • Fog
    • Winter Weather
  • Intro Dynamics
    • Syllabus
    • Homework
    • Sample exam questions
    • Introduction (Chap. 1, HH)
    • Basic equations of meteorology (Chap. 2, HH)
    • Imbedded processes in equations of meteorology (Chap. 3, HH). Exam 2 material
    • Imbedded processes in equations of meteorology (Chap. 3, HH). Exam 3 material
    • Planetary boundary layer
    • Vorticity (Chap.4, HH)
    • Pertubation method and atmospheric waves (Chap 5, HH)
  • Numerical methods
    • Syllabus
    • Homework
    • Number Series
    • Interpolation
    • Basic matrix math
    • Filters And Fourier Analysis
    • Numerical derivatives
    • Numerical integration, random numbers, and Monte Carlo
    • Numerical solutions of differential equations and atmospheric modeling
    • Parameterization, data assimilation, and overview on WRF model
    • Final computer exercises
  • Dashboard