# 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.

10 years ago

Problem

Fixed-Point Iteration

Perform fixed-point iteration to estimate the root of a nonlinear equation.

10 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...

10 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...

10 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 | 101 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...

11 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...

11 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]

11 years ago

Problem

Forward Elimination for Gauss Elimination

Perform forward elimination for a given pivot column in the augmented matrix, Ab=[A,b]

11 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.

11 years ago | 2 | 10 solvers

Solved

Partial pivoting for Gauss Elimination

Write a function to implement partial pivoting for Gauss elimination, given the pivot element.

11 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...

11 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...

11 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 ...

11 years ago | 1 | 21 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 ...

11 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