• FEniCS

  • Referenced in 699 articles [sw04314]
  • error control and adaptivity, a comprehensive library of finite elements, high performance linear algebra...
  • redbKIT

  • Referenced in 208 articles [sw12977]
  • implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors ... both a priori and a posteriori error analysis. Reduced basis methods for partial differential equations...
  • Z

  • Referenced in 279 articles [sw10291]
  • number of minor unclarities, inconsistencies and errors (both in semantics and spelling). This gives ... from the relational calculus are introduced, its algebraic properties are not mentioned; many...
  • bvpsuite

  • Referenced in 25 articles [sw08540]
  • equations and differential algebraic equations. We also discuss the a posteriori error estimate...
  • AIR tools

  • Referenced in 82 articles [sw09203]
  • problem. Two classes of methods are implemented: Algebraic reconstruction techniques and simultaneous iterative reconstruction techniques ... provided are the discrepancy principle, the monotone error rule, and the normalixed cumulative periodogram criterion...
  • SLICOT

  • Referenced in 83 articles [sw01095]
  • control theory. Based on numerical linear algebra routines from BLAS and LAPACK libraries, SLICOT provides ... must either return reliable results or an error or warning indicator; 3. numerical stability...
  • iRRAM

  • Referenced in 39 articles [sw08769]
  • very efficient C++ package for error-free real arithmetic based on the concept ... ordinary arithmetic over trigonometric functions to linear algebra even with sparse matrices. We discuss...
  • hlib

  • Referenced in 72 articles [sw04080]
  • using BLAS and LAPACK for lower-level algebraic operations. The library contains functions ... progress, so there may be undiscovered errors and you can expect new features to appear...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • algebra, spatial adaptivity, and visualization. The software uses unstructured triangular meshes and adaptive local error...
  • DLR PADGE

  • Referenced in 11 articles [sw18096]
  • reducing output error and techniques for solving the nonlinear algebraic equations. The performance...
  • QuantumCircuit

  • Referenced in 5 articles [sw09246]
  • problem of quantum error correction and its simulation with the computer algebra system Mathematica. Basic...
  • FrodoKEM

  • Referenced in 15 articles [sw35260]
  • errors problem, which in turn has close connections to conjectured-hard problems on generic, algebraically...
  • BLUEVERI

  • Referenced in 1 article [sw10899]
  • reasoning based on computational algebraic geometry. Algebraic error correcting codes (ECC) are widely used ... conclusively by using an apparatus of computational algebraic geometry (Buchberger’s algorithm for Gr”obner ... successfully applied to prove correctness of large error correcting circuits on IBM’s POWER systems...
  • EST_MINRES

  • Referenced in 1 article [sw20180]
  • posteriori estimator for the PDE approximation error. This leads to a robust and optimally efficient ... terminated as soon as the algebraic error is insignificant compared to the approximation error...
  • AptoFEM

  • Referenced in 7 articles [sw12628]
  • posteriori error estimation. Interfaces to a variety of third party linear algebra packages...
  • DAISY

  • Referenced in 46 articles [sw09059]
  • under ideal conditions (noise-free observations and error-free model structure). Of course, determining ... describe a software tool implementing a differential algebra algorithm to perform parameter identifiability analysis...
  • ALADINS

  • Referenced in 10 articles [sw09563]
  • ALADINS: an ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations. We address ... identification of a reliable a posteriori error estimator. Typical strategies are based on the combination ... paper, we move from the pressure correction algebraic factorizations formerly proposed by F. Saleri...
  • rrgmrestbx

  • Referenced in 13 articles [sw11496]
  • nonsymmetric linear discrete ill-posed problems with error-contaminated data (right-hand side). Several derivations ... linear discrete ill-posed problems. Linear Algebra Appl (to appear)]. We describe MATLAB codes...
  • Mathpert

  • Referenced in 18 articles [sw24047]
  • explicitly designed to support the learning of algebra, trigonometry, and first semester calculus. This paper ... dynamically generates individualized and helpful error messages by comparing user errors to its own internal...
  • BACOLI

  • Referenced in 6 articles [sw13810]
  • earlier package, BACOL, for the error controlled numerical solution of 1D Parabolic PDEs. Both BACOL ... boundary conditions represents a system of differential-algebraic equations (DAEs) that are solved using...