Solve nonlinear MNA circuit models using Newton-Raphson iteration with implicit time stepping.
npx skills add https://github.com/lgili/skillex --skill solver-numerics
Please help me install this Agent Skill. Skill: solver-numerics Source: https://github.com/lgili/skillex/tree/main/skills/solver-numerics Command: npx skills add https://github.com/lgili/skillex --skill solver-numerics
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.
Run a time-domain simulation with implicit integration to observe nonlinear MNA circuit behavior under switching events.
High-intent search queries and answers about installing and using this skill.
Solve nonlinear circuit equations by applying Newton-Raphson iterative linearization to Modified Nodal Analysis (MNA) formulations during implicit time stepping, using convergence checks and damping strategies to ensure reliable iteration steps.
Handle stiff circuit simulations by applying implicit integration methods like trapezoidal, backward Euler, or GEAR/BDF, which provide the numerical stability required for stiff, switching, and nonlinear networks.
Optimize sparse linear solver performance by using Eigen or UMFPACK backends and reusing matrix factorizations across switching events to handle topology changes efficiently without full refactorization.
Newton-Raphson iteration fails to converge due to oscillatory behavior in stiff circuits; applying damping strategies, convergence checks, and implicit integration like backward Euler ensures reliable stepping.
Yes, you can use Eigen or UMFPACK as reusable sparse solver backends for SPICE-like Newton-Raphson convergence handling, optimizing sparse linear algebra across nonlinear components.
Yes, you need diagnostic routines for step-size selection and accuracy validation to monitor convergence and maintain history states during nonlinear MNA circuit behavior under switching events.
lgiliConvert circuit netlists into Modified Nodal Analysis systems for solving.
AlterLab-IEUModel and analyze discrete-event systems with SimPy processes, resources, and events.
letta-aiOptimize largest eigenvalue computation for small dense matrices using Cython and LAPACK.
xjtulycSolve physics initial value problems and discretize PDEs with SciPy numerical methods.
