• ls.auto_direct: The automatically selected linear direct solver.

• ls.auto_iterative: The automatically selected linear iterative solver.

• ts.adaptive: Implicit time stepping solver with an adaptive time step.

• ts.bathe: Solve elastodynamics problems by the Bathe method.

• ts.euler: Simple forward euler method

• ts.generalized_alpha: Solve elastodynamics problems by the generalized \alpha method.

• ts.multistaged: Explicit time stepping solver with multistage solve_step method

• ts.newmark: Solve elastodynamics problems by the Newmark method.

• ts.runge_kutta_4: Classical 4th order Runge-Kutta method,

• ts.simple: Implicit time stepping solver with a fixed time step.

• ts.stationary: Solver for stationary problems without time stepping.

• ts.tvd_runge_kutta_3: 3rd order Total Variation Diminishing Runge-Kutta method

• ts.velocity_verlet: Solve elastodynamics problems by the velocity-Verlet method.

• nls.newton: Solves a nonlinear system f(x) = 0 using the Newton method.

• nls.oseen: The Oseen solver for Navier-Stokes equations.

• nls.petsc: Interface to PETSc SNES (Scalable Nonlinear Equations Solvers).

• nls.scipy_broyden_like: Interface to Broyden and Anderson solvers from scipy.optimize.

• nls.semismooth_newton: The semi-smooth Newton method.

• ls.cm_pb: Conjugate multiple problems.

• ls.mumps: Interface to MUMPS solver.

• ls.mumps_par: Interface to MUMPS parallel solver.

• ls.petsc: PETSc Krylov subspace solver.

• ls.pyamg: Interface to PyAMG solvers.

• ls.pyamg_krylov: Interface to PyAMG Krylov solvers.

• ls.schur_mumps: Mumps Schur complement solver.

• ls.scipy_direct: Direct sparse solver from SciPy.

• ls.scipy_iterative: Interface to SciPy iterative solvers.

• ls.scipy_superlu: SuperLU - direct sparse solver from SciPy.

• ls.scipy_umfpack: UMFPACK - direct sparse solver from SciPy.

• eig.matlab: Matlab eigenvalue problem solver.

• eig.scipy: SciPy-based solver for both dense and sparse problems.

• eig.scipy_lobpcg: SciPy-based LOBPCG solver for sparse symmetric problems.

• eig.sgscipy: SciPy-based solver for dense symmetric problems.

• eig.slepc: General SLEPc eigenvalue problem solver.

• eig.qevp: Quadratic eigenvalue problem solver based on the problem linearization.

• nls.scipy_fmin_like: Interface to SciPy optimization solvers scipy.optimize.fmin_*.

• opt.fmin_sd: Steepest descent optimization solver.