1 / 7

Chapter

Chapter. Term Project Applications of Computer Programming in Earth Sciences Instructor: Dr. Cheng-Chien Liu Department of Earth Sciences National Cheng Kung University Last updated: 22 September 2014. Project description. Solution of Linear Algebraic Equations

declan
Download Presentation

Chapter

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter Term Project Applications of Computer Programming in Earth Sciences Instructor: Dr. Cheng-Chien Liu Department of Earth Sciences National Cheng Kung University Last updated: 22 September 2014

  2. Project description • Solution of Linear Algebraic Equations • Gauss-Jordan matrix inversion and linear equation solution (2.1) • Linear equation solution, backsubstitution (2.3)（駱守凡） • Singular value decomposition of a matrix (2.6) • Interpolation and Extrapolation • Two-dimensional polynomial interpolation (3.6)（張家鳳） • Two-dimensional bicubic interpolation (3.6)（劉益廷） • Two-dimensional spline interpolation (3.6)

  3. Project description (cont.) • Integration of Functions • Integrate a function over a three-dimensional space (4.6) （林維芝） • Evaluation of Functions • Evaluate a polynomial and its derivatives (5.3) （李涵瑜） • Random Numbers • Random deviates from DES-like hashing (7.5)（蘇鴻林） • Adaptive multidimensional Monte Carlo integration (7.8) （王博賢）

  4. Project description (cont.) • Sorting • Sort an array by quicksort method (8.2) （王若梅） • Find the Nth largest, without altering an array (8.5)（盧旭宇） • Find M largest values, without altering an array (8.5)（黃姿勳） • Root Finding and Nonlinear Sets of Equations • Find root of a function by Ridders‘ method (9.2) （劉晃丞） • Find root of a function by Brent's method (9.3) （歐兆強） • Find root of a function by Newton-Raphson and bisection (9.4) （陳治宇） • roots of a polynomial by Laguerre's method with deflation (9.5) （蕭雅竹）

  5. Project description (cont.) • Eigensystems • Eigenvalues and eigenvectors of a symmetric matrix (11.1) (李奇峰) • Fast Fourier Transform • Fast Fourier transform in multidimensions (12.4)(江彥廷) • Fourier and Spectral Applications • Correlation or autocorrelation of data using FFT (13.2) (唐健庭) • Modeling of Data • Fit a polynomial using LFIT or SVDFIT (15.4)

More Related