Welcome to ASC-ODE’s documentation!

Welcome to ASC-ODE’s documentation!#

ASC-ODE is is a C++ library for solving ordinary differential equations (ODEs). The equation is defined by the right hand side function. ASC-ODE provides various time-steppers which may be used for odes with right hand sides given by a function object.

A small demo for solving a mass-spring model as first order ODE

\[\begin{split}\begin{aligned} y_0' &= y_1 \\ y_1' &= -\frac{k}{m} y_0 \end{aligned} \end{split}\]

is here:

double tend = 4*M_PI;
int steps = 100;
double tau = tend/steps;

Vector<> y = { 1, 0 };  // initial conditions
shared_ptr<NonlinearFunction> rhs = std::make_shared<MassSpring>(mass, stiffness);
  
ExplicitEuler stepper(rhs);

std::cout << 0.0 << "  " << y(0) << " " << y(1) << std::endl;
for (int i = 0; i < steps; i++)
  {
     stepper.DoStep(tau, y);
     std::cout << (i+1) * tau << "  " << y(0) << " " << y(1) << std::endl;
  }

The result of this simulation in phase space is shown here:

_images/massspring_phase.png

Installation#

install XXX-odesolver it via git-clone:

git clone https://github.com/my-github-clone/my-ode-solver.git

To configure and build some tests do

cd my-ode-solver
mkdir build
cd build
cmake ..
make

Available time-stepping methods are#

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