harmonic-balance

Lightweight cross-platform RF circuit simulator — DC, S-parameters, harmonic balance, loadpull. Not a SPICE simulator.

Frequency domain, multi-tone harmonic balance, simulation of scattering parameters and noise in nonlinear circuits containing Josephson junctions. Scattering parameter conversion and interconnection.

A Julia package for solving nonlinear differential equations using the harmonic balance method.

An example about application of multitone harmonic balance method to Duffing Van Der Pol equation

MATLAB code for harmonic balance method applied to Nonlinear Oscillators

educational material on the Harmonic Balance Method

Simulating the sediment transport equations using the Harmonic Balance Method in Julia

1D nonsmooth modal analysis via BEM/HBM

HBSS_Cont is a MATLAB toolbox for nonlinear frequency response analysis using Harmonic Balance in extended state space with pseudo-arc-length continuation and stability analysis.

Topology-independent dynamic-phasor circuit simulation (ECCE 2026 reference implementation): netlist in, result out, solver auto-decided.

PhD dissertation (Univ. of Florence, 2011–2013): contributions to finite element analysis in electromagnetics — wave equation, domain decomposition, and harmonic-balance nonlinear analysis. Includes defense slides and published work.

2D/3D finite element software in C++, Python and MATLAB