solver-numerics

What problem does it solve?

Numerical cores for discrete-time circuit simulations require robust nonlinear solving and stable time integration. This skill provides guidance on using implicit methods (trapezoidal, backward Euler, GEAR/BDF), Newton-Raphson convergence handling, and sparse linear algebra using Eigen or UMFPACK to debug slow or oscillatory behavior in stiff circuits.

Core Features & Use Cases

• Implicit integration options (trapezoidal, backward Euler, GEAR/BDF) for stiff, switching, and nonlinear networks.
• Newton-Raphson iteration with convergence checks and damping strategies to ensure reliable stepping.
• Sparse linear solver guidance (Eigen, UMFPACK) and topology-change factorization reuse to optimize performance.
• Diagnostic routines for convergence, step-size selection, and accuracy validation with history states.

Quick Start

Run a time-domain simulation with implicit integration to observe nonlinear MNA circuit behavior under switching events.