• Nek5000

  • Referenced in 73 articles [sw08064]
  • Stability tools for the spectral-element code Nek5000: application to jet-in-crossflow ... demonstrate the use of advanced linear stability tools developed for the spectral-element code Nek5000 ... moderately complex geometries. The aim of stability calculations is to identify the driving mechanism ... wavemaker. We concentrate on global linear stability analysis, which considers the linearised Navier--Stokes equations...
  • RSOLVER

  • Referenced in 71 articles [sw04334]
  • dimensions, or parametric robust stability of linear differential equations can be directly formulated as such...
  • GEPASI

  • Referenced in 34 articles [sw07916]
  • model, perform metabolic control analysis and linear stability analysis. Gepasi simplifies the task of model...
  • SDPT3

  • Referenced in 657 articles [sw04009]
  • special case of determinant maximization problems with linear matrix inequalities. It employs an infeasible primal ... Various techniques to improve the efficiency and stability of the algorithm are incorporated. For example...
  • TRACE-DDE

  • Referenced in 30 articles [sw12801]
  • computation of characteristic roots and stability charts of linear autonomous systems of delay differential equations...
  • MA57

  • Referenced in 88 articles [sw00536]
  • symmetric linear equations that solves indefinite systems with 2 x 2 pivoting for stability. This...
  • ImplicitLNLMethods

  • Referenced in 8 articles [sw23184]
  • Runge-Kutta methods with high linear order. Strong stability preserving (SSP) time discretizations preserve ... restriction. The search for high order strong stability preserving time-stepping methods with high order ... restrict ourselves to solving only linear autonomous problems, the order conditions simplify ... also find implicit methods with large linear stability regions that pair with known explicit...
  • quadeig

  • Referenced in 32 articles [sw11532]
  • eigenvalues, a choice of linearization with favorable conditioning and backward stability properties, and a preprocessing...
  • AEGIS

  • Referenced in 10 articles [sw02688]
  • shooting code for axisymmetric plasma stability. A new linear ideal-magnetohydrodynamics stability code for axisymmetric ... poloidal direction. The general solution is a linear combination of the independent solutions...
  • SuperLU

  • Referenced in 181 articles [sw00930]
  • solution of large, sparse, nonsymmetric systems of linear equations on high performance machines. The library ... refinement subroutines are provided for improved backward stability. Routines are also provided to equilibrate...
  • BiCGstab

  • Referenced in 126 articles [sw04022]
  • solution of a system of linear algebraic equations with a non-singular n×n matrix ... BiCG residue and for improving the numerical stability. Both parts are studied in detail...
  • ERATO

  • Referenced in 39 articles [sw11922]
  • treats the stability of a Tokamak-like plasma described by the ideal linearized magnetohydrodynamic...
  • Stabhyli

  • Referenced in 5 articles [sw20122]
  • Stabhyli -- a tool for automatic stability verification of non-linear hybrid systems. We present Stabhyli ... tool that automatically proves stability of non-linear hybrid systems. Hybrid systems are systems that ... discrete as well as continuous behavior. The stability property basically ensures that a system exposed ... automatically derive a certificate of stability for non-linear hybrid systems. Certificates are obtained...
  • GFORCE

  • Referenced in 21 articles [sw06607]
  • manner, resulting in linearly stable schemes that have the same stability regions as the straightforward...
  • QUALIMUWABA

  • Referenced in 4 articles [sw18130]
  • code is an eigenvalue solver performing linear stability analysis from given mean radial profiles ... spatial characteristics of unstable modes in the linear growth phase...
  • CYLGYR

  • Referenced in 4 articles [sw18131]
  • code is an eigenvalue solver performing linear stability analysis from given mean radial profiles ... spatial characteristics of unstable modes in the linear growth phase...
  • HIFOO

  • Referenced in 56 articles [sw05188]
  • controller design for linear systems is a difficult, nonconvex, nonsmooth optimization problem when the order ... desired to compute a single controller which stabilizes multiple plants simultaneously. HIFOO is aimed...
  • Alya

  • Referenced in 20 articles [sw08539]
  • unstructured linear finite elements, tetrahedras and prisms. A Variational Multiscale Stabilization technique known as Algebraic...
  • SuperLU-DIST

  • Referenced in 87 articles [sw00002]
  • solution of large, sparse, nonsymmetric systems of linear equations on high performance machines. The library ... refinement subroutines are provided for improved backward stability. Routines are also provided to equilibrate...
  • XTOR

  • Referenced in 19 articles [sw03221]
  • emphasis on critical issues leading to numerical stability and robustness. This includes the time advance ... used in XTOR is unconditionally stable for linear MHD. First, both the ideal ... linear one and are automatically defined by a set of nonlinear stability criteria. The robustness...