Exponential integrators represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...

Asymptotic error expansions have been obtained for certain numerical methods for linear Volterra integro-differential equations. These results permit the application ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

The continuation method is developed with a special emphasis on its suitability for numerical solutions on fast computers. Four problems are treated in detail: finding roots of a polynomial, boundary ...

Find the forces on the object. Find the new momentum (based on the force and the small time interval) Find the new position (based on the velocity and time interval). Simple. And it even works most of ...

Everyone already uses computers in physics. At the very least, students use handheld calculators (I doubt anyone is still using a slide-rule calculator). Also, it's becoming more common to have ...

The mere attendance of the lecture is valued at 2 CP. If the tutorials are completed as well (> 70 %), 3 CP are awarded. For this, the solutions to the problems must be handed in before the next ...