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Robert Canfield
Virginia Tech
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Dr. Robert A. Canfield is Professor and Assistant Head of the Aerospace and Ocean Engineering Department at Virginia Tech. Professional Interests: Multidisciplinary Design Optimization, computational methods
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Solved
Fixed-Point Iteration
Perform fixed-point iteration to estimate the root of a nonlinear equation.
11 years ago
Problem
Fixed-Point Iteration
Perform fixed-point iteration to estimate the root of a nonlinear equation.
11 years ago | 1 | 24 solvers
Problem
Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
Analytical solution to bungee jumper problem. Given time series as a vector, parameters mass and drag coefficient, and gravit...
11 years ago | 1 | 24 solvers
Solved
Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
Analytical solution to bungee jumper problem. Given time series as a vector, parameters mass and drag coefficient, and gravit...
11 years ago
Solved
Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so: x = [1 2 3 4] Commas are optional, s...
11 years ago
Problem
Composite Trapezoidal Rule for Numeric Integration
Use the trapezoidal rule to numerically integrate a function, _f(x)_, passed as the first argument, between upper and lower limi...
11 years ago | 1 | 103 solvers
Solved
Composite Trapezoidal Rule for Numeric Integration
Use the trapezoidal rule to numerically integrate a function, _f(x)_, passed as the first argument, between upper and lower limi...
11 years ago
Solved
Lagrange Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago
Problem
Lagrange Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago | 1 | 15 solvers
Problem
Polynomial Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago | 2 | 17 solvers
Solved
Polynomial Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago
Problem
Newton Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago | 3 | 12 solvers
Solved
Newton Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...
11 years ago
Solved
Gauss Eliminate 2-by-2 example
Use forward elimination to make the coefficient matrix, A, an upper triangular matrix, and then solve using back substitution, f...
12 years ago
Problem
Gauss Eliminate 2-by-2 example
Use forward elimination to make the coefficient matrix, A, an upper triangular matrix, and then solve using back substitution, f...
12 years ago | 1 | 126 solvers
Solved
Forward Elimination for Gauss Elimination
Perform forward elimination for a given pivot column in the augmented matrix, Ab=[A,b]
12 years ago
Problem
Forward Elimination for Gauss Elimination
Perform forward elimination for a given pivot column in the augmented matrix, Ab=[A,b]
12 years ago | 1 | 26 solvers
Problem
Partial pivoting for Gauss Elimination
Write a function to implement partial pivoting for Gauss elimination, given the pivot element.
12 years ago | 2 | 11 solvers
Solved
Partial pivoting for Gauss Elimination
Write a function to implement partial pivoting for Gauss elimination, given the pivot element.
12 years ago
Problem
Bisection method of finding a root.
Test the bisection algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB for E...
12 years ago | 2 | 23 solvers
Solved
Bisection method of finding a root.
Test the bisection algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB for E...
12 years ago
Problem
False position (linear interpolation) method of finding a root.
Test the false position algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB ...
12 years ago | 1 | 23 solvers
Solved
False position (linear interpolation) method of finding a root.
Test the false position algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB ...
12 years ago
Problem
Augmented Lagrange Multiplier (ALM) Method
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...
12 years ago | 0 | 5 solvers
Solved
Augmented Lagrange Multiplier (ALM) Method
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...
12 years ago
Problem
Sequential Unconstrained Minimization (SUMT) using Interior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...
12 years ago | 1 | 7 solvers
Solved
Sequential Unconstrained Minimization (SUMT) using Interior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...
12 years ago
Problem
Sequential Unconstrained Minimization (SUMT) using Exterior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_, given a f...
12 years ago | 1 | 8 solvers
Solved
Sequential Unconstrained Minimization (SUMT) using Exterior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_, given a f...
12 years ago