`kernel`

Multi-threading
Computational Linear Algebra * Optimization
Numerics * Computational Mechanics
Physics Simulation
Miscellaneous

Multi-threading

Example 1: Create SimpleTasks
Example 2: Create StoppableTasks
Example 5: Parallel Sum Array Elements
Example 9: parallel_for pattern with ThreadPool class
Example 12: Producer-Consumer pattern
Example 13: parallel_for pattern with OMPExecutor class
Example 40: Using OpenMP tasks

Computational Linear Algebra

Example 4: Multithreaded Jacobi Iterator
Example 6: Multithreaded Conjugate Gradient solver
Example 34: Use Trilinos Epetra_Vector and Epetra_CrsMatrix
Example 33: Use Amesos2 Trilinos Package

Optimization

Example 30: Nonlinear optimization
Example 36: Alternating Direction Method of Multipliers
Example 37: Unconstrained optimization with Stochastic Gradient Descent
Example 38: Unconstrained optimization with Gradient Descent
Multithreaded gradient descent

Numerics

Example 8: Serial Monte Carlo integration
Example 10: Calculate the area of a circle using Monte Carlo integration
Example 11: Radio active deacay simulation
Example 14: Monte Carlo integration with OMPExecutor class
Example 15: Calculate MSE error with MSEFunction class
Example 16: Calculate SSE error with SSEFunction class
Example 26: Bisection method
Example 27: Monte Carlo simulation for the Monty Hall Problem
Example 28: Newton's method
Example 29: Markov chain sampling

Computational Mechanics

Example 19: Solve Laplace equation with collocated FVM
Example 20: Solve Laplace equation with collocated FVM and multiple threads
Example 21: Solve convection equation with FVM
Example 22: Use volume terms with FVM
Example 23: Use Backward Euler time stepper
Example 24: Solve incompressible Stokes equations
Example 25: Solve incompressible Navier-Stokes equations

Physics Simulation

Example 7: Longitudinal Vehicle Model
Example 17: Simulate differential drive system
Example 35: Bicycle vehicle model

Miscellaneous

Example 18: Create a rectangular grid
Example 24: Create a SerialBoostGraph from a Mesh