Implicit vs Explicit Analysis
Implicit analysis is described as a stable approach that handles large time increments by solving complex, simultaneous equations to ensure global equilibrium at every step. Conversely, explicit analysis progresses through a series of tiny "baby steps" that avoid heavy matrix inversions, making it ideal for rapid, high-energy events like car crashes or explosions. While implicit solvers are more efficient for static or slow-moving loads, they require significant memory and iterative corrections to converge on a solution. Explicit solvers are conditionally stable, meaning they can "explode" if the time step exceeds the limit it takes for a sound wave to cross an element. Ultimately, the choice between these two mathematical frameworks depends on the duration and speed of the physical process being modelled.
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