"applied to solve" is grammatically correct and can be used in written English.
For example: "Advanced algorithms are often applied to solve complex mathematical problems."
Then, MOEA/D is applied to solve these problems.
Genetic algorithm is applied to solve the first stage.
Gear's method was applied to solve the dynamic model.
However, the method is applied to solve multilayer dielectric structures.
Hence, a BDF-scheme is applied to solve those equations.
Therefore, soft computing can be applied to solve it.
GDQ is then applied to solve some free vibration problems.
Lessons learned on R5.13 were subsequently applied to solve the embedding of the regular map R5.6.
Techniques from optics, differential geometry and interval analysis are applied to solve these problems.
In turn, the geometry of a Grassmannian can often be applied to solve an enumerative problem.
A previous developed solution strategy is applied to solve the single objective optimization problem and the ε-constrained method is applied to solve the multi-objective optimization model.
