NB: repl.it has a bug that erases any templated folders.
- use
runto execute main.sh; - modify
main.shto build & add linux features; or - use
gfortran sample.f -o ./Results/sampleto build your code. - type
./Results/sampleto run your code.
| Section / Title | Progress | Results |
|---|---|---|
| '01 Preliminaries' | WIP | |
| '00 Introduction' | WIP | hello.c |
| '01 Program Optimisation and Control Structures' | Not Started | |
| '02 Some C Conventions for Scientific Computing' | Not Started | |
| '03 Error, Accuracy and Stability' | Not Started | |
| '02 Solutions of Linear Algebraic Equations' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Gauss-Jordan Elimination' | Not Started | |
| '02 Gaussian Elimination with Backsubstitution' | Not Started | |
| '03 LU Decomposition and Its Applications' | Not Started | |
| '04 Tridiagonal and Band Diagonal Systems of Equations' | Not Started | |
| '05 Iterative Improvement of a Solution to Linear Equations' | Not Started | |
| '06 Singular Value Decomposition' | Not Started | |
| '07 Sparse Linear Systems' | Not Started | |
| '08 Vandermonde Matrices and Toeplitz Matrices' | Not Started | |
| '09 Cholesky Decomposition' | Not Started | |
| '10 QR Decomposition' | Not Started | |
| '11 Is Matrix Inversion an N**3 Process?' | Not Started | |
| '03 Interpolation and Extrapolation' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Polynomial Interpolation and Extrapolation' | Not Started | |
| '02 Rational Function Interpolation and Extrapolation' | Not Started | |
| '03 Cubic Spline Interpolation' | Not Started | |
| '04 How to search an Ordered Table' | Not Started | |
| '05 Coefficients of the Interpolating Polynomial' | Not Started | |
| '06 Interpolation in Two or More Dimensions' | Not Started | |
| '04 Integration of Functions' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Classical Formulas for Equally Spaced Abscissas' | Not Started | |
| '02 Elementary Algorithms' | Not Started | |
| '03 Romberg Integration' | Not Started | |
| '04 Improper Integrals' | Not Started | |
| '05 Gaussian Quadrature and Orthogonal Polynomials' | Not Started | |
| '06 Multidimensional Integrals' | Not Started | |
| '05 Evaluation of Functions' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Series and Their Convergence' | Not Started | |
| '02 Evaluation of Continued Fractions' | Not Started | |
| '03 Polynomials and Rational Functions' | Not Started | |
| '04 Complex Arithmetic' | Not Started | |
| '05 Recurrence Relations and Clenshaw's Recurrence Formula' | Not Started | |
| '06 Quadratic and Cubic Equations' | Not Started | |
| '07 Numerical Derivatives' | Not Started | |
| '08 Chebyshev approximation' | Not Started | |
| '09 Derivatives or Integrals of a Chebyshev-approximated Function' | Not Started | |
| '10 Polynomials approximation from Chebyshev Coefficients' | Not Started | |
| '11 Economisation of Power Series' | Not Started | |
| '12 Pade Approximants' | Not Started | |
| '13 Rational Chebyshev approximation' | Not Started | |
| '14 Evaluation of Functions by Path Integration' | Not Started | |
| '06 Special Functions' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Gamma Function, Beta Function, Factorials, Binomial Coefficients' | Not Started | |
| '02 Incomplete Gamma Function, Error Function, Chi-Square Probability Function, Cumulative Poisson Function' | Not Started | |
| '03 Exponential Integrals' | Not Started | |
| '04 Incomplete Beta Function, Student Distribution, F-Distribution, Cumulative Binomial Distribution' | Not Started | |
| '05 Bessel Functions of Integer Order' | Not Started | |
| '06 Modified Bessel Functions of Integer Order' | Not Started | |
| '07 Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions' | Not Started | |
| '08 Spherical Harmonics' | Not Started | |
| '09 Fresnel Integrals, Cosine and Sine Integrals' | Not Started | |
| '10 Dawson's Integrals' | Not Started | |
| '11 Elliptic Integrals and Jacobian Elliptic Functions' | Not Started | |
| '12 Hypergeometric Functions' | Not Started | |
| '07 Random Numbers' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Uniform Deviates' | Not Started | |
| '02 Transformation Method: Exponetial and Normal Deviates' | Not Started | |
| '03 Rejection Method: Gamma, Poisson, Binomial Deviates' | Not Started | |
| '04 Generation of Random Bits' | Not Started | |
| '05 Random Sequencies Based on Data Encryption' | Not Started | |
| '06 Simple Monte Carlo Integration' | Not Started | |
| '07 Quasi-(that is, Sub-) Random Sequencies' | Not Started | |
| '08 Adaptive and Recursive Monte-Carlo Methods' | Not Started | |
| '08 Sorting' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Straight Insertion and Shell's Method' | Not Started | |
| '02 Quicksort' | Not Started | |
| '03 Heapsort' | Not Started | |
| '04 Indexing and Ranking' | Not Started | |
| '05 Selecting the Mth Largest' | Not Started | |
| '06 Determination of Equivalence Classes' | Not Started | |
| '09 Root Finding and Nonlinear Sets of Equations' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Bracketing and Bisection' | Not Started | |
| '02 Secant Method, False Position Method, and Ridders' Method' | Not Started | |
| '03 Van Wijngaarden-Dekker-Brent Method' | Not Started | |
| '04 Newton-Raphson Method Using Derivatives' | Not Started | |
| '05 Roots of Polynomials' | Not Started | |
| '06 Newton-Raphson Method for Nonlinear Systems of Equations' | Not Started | |
| '07 Globally Convergent Methods for Nonlinear Systems of Equations' | Not Started | |
| '10 Minimization or Maximumization of Functions' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Golden Section Search in One Dimension' | Not Started | |
| '02 Parabolic Interpolation and Brent's Method in ONe Dimension' | Not Started | |
| '03 One Dimensional Search with First Derivatives' | Not Started | |
| '04 Downhill Simplex Method in Multidimensions' | Not Started | |
| '05 Direction Set (Powell's) Methods in Multidimensions' | Not Started | |
| '06 Conjugate Gradient Methods in Multidimensions' | Not Started | |
| '07 Variable Metric Methods in Multidimensions' | Not Started | |
| '08 Linear Programming and the Simplex Method' | Not Started | |
| '09 Simulated Annealing Methods' | Not Started | |
| '11 Eigensystems' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Jacobi Transformation of a Symmetric Matrix' | Not Started | |
| '02 Reduction of a Symmetric Matrix to a Tridiagonal Form: Givens and Householder Reductions' | Not Started | |
| '03 Eigenvalues and EigenVectors of a Tridiagonal Matrix' | Not Started | |
| '04 Hermitian Matrices' | Not Started | |
| '05 Reduction of a General Matrix to Hessenberg Form' | Not Started | |
| '06 The QR Algorithm for Real Hessenberg Matrices' | Not Started | |
| '07 Improving Eigenvalues and/or Finding Eigenvectors by Inverse Iteration' | Not Started | |
| '12 Fast Fourier Transforms' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Fourier Transform of Discretely Sampled Data' | Not Started | |
| '02 Fast Fourer Transform' | Not Started | |
| '03 FFT of Real Functions, Sine and Cosine Transforms' | Not Started | |
| '04 FFT in Two or More Dimensions' | Not Started | |
| '05 Fourier Transform of Real Data in Two and Three Dinesions' | Not Started | |
| '06 External Storage or Memory-Local FFTs' | Not Started | |
| '13 Fourier and Spectral Applications' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Convolution and Deconvolution using the FFT' | Not Started | |
| '02 Correlation and Autocorrelation using the FFT' | Not Started | |
| '03 Optimal (Wiener) Filtering using the FFT' | Not Started | |
| '04 Power Spectrum Estimation using the FFT' | Not Started | |
| '05 Digital Filtering in the Time Domain' | Not Started | |
| '06 Linear Prediction and Linear Predictive Coding' | Not Started | |
| '07 Power Sprectrum Estimation by the Maximum Entropy (All Poles) Method' | Not Started | |
| '08 Spectral Analysis of Unevenly Sampled Data' | Not Started | |
| '09 Computing Fourier Integrals using the FFT' | Not Started | |
| '10 Wavelet Tranforms' | Not Started | |
| '11 Numerical Use of the Sampling Theorem' | Not Started | |
| '14 Statistical Description of Data' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Moments of a Distribution: Mean, Variance, Skewness, and So Forth' | Not Started | |
| '02 Do Two Distributions Have the Same Means or Variances?' | Not Started | |
| '03 Are Two Distributions Different?' | Not Started | |
| '04 Contingency Table Analysis of Two Distributions' | Not Started | |
| '05 Linear Correlation' | Not Started | |
| '06 Nonparametric or Rank Correlation' | Not Started | |
| '07 Do Two-Dimensional Distributions Differ?' | Not Started | |
| '08 Savitsky-Golay Soothing Filters' | Not Started | |
| '15 Modelling of Data' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Least Squares as a Maximum Likelihood Estimator' | Not Started | |
| '02 Fitting Data to a Straight Line' | Not Started | |
| '03 Straight-Line Data with Errors in Both Coordinates' | Not Started | |
| '04 General Linear Least Squares' | Not Started | |
| '05 Nonlinear Models' | Not Started | |
| '06 Confidence Limits on Estimated Model Parameters' | Not Started | |
| '07 Robust Estimation' | Not Started | |
| '16 Integration of Ordinary Differential Equations' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Runge-Kutta Method' | Not Started | |
| '02 Adaptive Stepsize Control for Runge-Kutta' | Not Started | |
| '03 Modified Midpoint Method' | Not Started | |
| '04 Richardson Extrapolation and the Bulirsch-Stoer Method' | Not Started | |
| '05 Second Order Conservative Equations' | Not Started | |
| '06 Stiff Sets of Equations' | Not Started | |
| '07 Multistep, Multivalue, and Predictor-Corrector Methods' | Not Started | |
| '17 Two Point Boundary Value Problems' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 The Shooting Method' | Not Started | |
| '02 Shooting to a Fitting Point' | Not Started | |
| '03 Relaxation Methods' | Not Started | |
| '04 Worked Example: Spheroidal Harmonics' | Not Started | |
| '05 Automate Allocation of Mesh Points' | Not Started | |
| '06 Handling Internal Boundary Conditions or Singular Points' | Not Started | |
| '18 Integral Equations and Inverse Theory' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Fredholm Equations of the Second Kind' | Not Started | |
| '02 Volterra Equations' | Not Started | |
| '03 Integral Equations with Singular Kernels' | Not Started | |
| '04 Inverse Problems and the Use of a Priori Information' | Not Started | |
| '05 Linear Regularization Methods' | Not Started | |
| '06 Bakkus-Gilbert Method' | Not Started | |
| '07 Maximum Entropy Image Restoration' | Not Started | |
| '19 Partial Differential Equations' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Flux-Conservative Initial Value Problems' | Not Started | |
| '02 Diffusive Initial Value Problems' | Not Started | |
| '03 Initial Value Problems in Multidimensions' | Not Started | |
| '04 Fourier and Cyclic Reduction Methods for Boundary Value Problems' | Not Started | |
| '05 Relaxation Methods for Boundary Value Problems' | Not Started | |
| '06 Multigrid Methods for Boundary Value Problems' | Not Started | |
| '20 Less-Numerical Algorithms' | Not Started | |
| '00 Introduction' | Not Started | |
| '01 Diagnosing Machine Parameters' | Not Started | |
| '02 Gray Codes' | Not Started | |
| '03 Cyclic Redundancy and Other Checksums' | Not Started | |
| '04 Huffman Coding and Compression of Data' | Not Started | |
| '05 Arithmetic Coding' | Not Started | |
| '06 Arithmetic at Arbitrary Precision' | Not Started |
Results .