• ITPACK

  • Referenced in 47 articles [sw00459]
  • large systems of linear algebraic equations with sparse coefficient matrices. The emphasis is on linear ... systems arising in the solution of partial differential equations by discretizations such as finite difference ... methods. Among other things this project has resulted in the development of a computer package...
  • TAUCS

  • Referenced in 32 articles [sw04014]
  • Matrix Input/Output. Routines to read and write sparse matrices using a simple file format with ... discretizations of 2- and 3-dimensional partial differential equations. Useful for testing the solvers. Iterative ... nonzeros, but they don’t factor the resulting matrix completely. Instead, they eliminate rows...
  • PINEAPL

  • Referenced in 6 articles [sw00708]
  • solution of partial differential equations problems using parallel sparse linear algebra modules. This talk provides ... number of performance results which demonstrate the efficiency and scalability of core computational routines...
  • JDINAC

  • Referenced in 2 articles [sw40329]
  • Parametric Differential Interaction Network Analysis and Classification Using High- Dimensional Sparse Omics Data. Results ... Analysis and Classification (JDINAC) method to identify differential interaction patterns of network activation between ... relations between molecular interactions using high-dimensional sparse data as well as to adjust confounding...
  • FiPy

  • Referenced in 23 articles [sw10791]
  • Python. FiPy is an object oriented, partial differential equation (PDE) solver, written in Python, based ... expensive and difficult to customize. As a result, scientists spend considerable resources repeatedly developing limited ... existing suite of tools for array calculations, sparse matrices and data rendering. The FiPy framework...
  • SBA

  • Referenced in 24 articles [sw05242]
  • points and cameras results in the underlying normal equations exhibiting a sparse block structure (click ... example). sba exploits this sparseness by employing a tailored sparse variant of the LM algorithm ... hand, generated with a tool supporting symbolic differentiation (e.g. maple), or obtained using automatic differentiation...
  • SPAR

  • Referenced in 3 articles [sw02379]
  • general and powerful technique for solving partial differential equations. The computationally intensive step of this ... equations. Very large and very sparse system matrices result from large finite-element applications...
  • CARP-CG

  • Referenced in 10 articles [sw00105]
  • sparse linear systems. CARP performs Kaczmarz (KACZ) row projections within the blocks, and the results ... allow cyclic relaxation parameters, so the resulting method, called CGMNC, can be applied ... using CARP in a double sweep. The resulting algorithm, CARP-CG, is as robust ... systems derived from convection dominated elliptic partial differential equations. The results indicate that CARP...
  • PERMON

  • Referenced in 5 articles [sw16719]
  • mechanics may be described by partial differential equations. To be solved with computers, they have ... Element Method (FEM). We typically get large sparse linear systems of equations, but in case ... solvable. This is an expensive process and results reflect less accurately physical phenomena. Moreover...
  • HPC2

  • Referenced in 3 articles [sw26407]
  • only three algebraic operations: the sparse matrix-vector product, the linear combination of vectors ... hybrid cluster. Finally, results of the direct numerical simulation of a turbulent flow ... filled differentially heated cavity are presented to show the capabilities of the HPC 2 dealing...
  • Chronos

  • Referenced in 2 articles [sw40312]
  • arising from the discretization of the partial differential equations governing physical processes. This work presents ... specifically designed for the solution of large, sparse linear systems on massively parallel computers ... especially from an implementation standpoint. Several numerical results arising from practical mechanics and fluid dynamics...
  • DSelect-k

  • Referenced in 1 article [sw41672]
  • DSelect-k: Differentiable Selection in the Mixture of Experts with Applications to Multi-Task Learning ... Experts (MoE) architecture is showing promising results in improving parameter sharing in multi-task learning ... models use a trainable sparse gate to select a subset of the experts for each ... input example. While conceptually appealing, existing sparse gates, such as Top-k, are not smooth...
  • Livarh

  • Referenced in 2 articles [sw31778]
  • Pushing (EP)] for computing Hessians using Automatic Differentiation (AD) recently proposed by Gower and Mello ... preaccumulation to further reduce execution time—the resulting algorithm is called Livarhacc. We engineer robust ... results show that the new algorithms outperform state-of-the-art sparse methods (based...
  • Livarhacc

  • Referenced in 2 articles [sw31779]
  • Pushing (EP)] for computing Hessians using Automatic Differentiation (AD) recently proposed by Gower and Mello ... preaccumulation to further reduce execution time—the resulting algorithm is called Livarhacc. We engineer robust ... results show that the new algorithms outperform state-of-the-art sparse methods (based...
  • PYROBOCOP

  • Referenced in 1 article [sw38825]
  • optimization of robotic systems described by nonlinear Differential Algebraic Equations (DAEs). In particular, the package ... performing orthogonal collocation on finite elements. The resulting optimization problem belongs to the class ... interfaced with ADOLC for obtaining sparse derivatives by automatic differentiation and IPOPT for performing optimization...
  • fenicsR13

  • Referenced in 1 article [sw41153]
  • FEniCS’ Unified Form Language to define required differential operators for tensors above second degree ... documentation and literature seem to be very sparse. Using the software abstraction levels provided ... correspondence between the underlying mathematics and the resulting source code. Test cases support the correctness...
  • Jive

  • Referenced in 2 articles [sw17737]
  • toolkit that is aimed at solving partial differential equations (PDEs). It provides ... building grids and meshes; storing and building (sparse) matrices; solving systems of equations; evaluating shape ... making checkpoints (enabling restarts); and for visualizing results in real time. Jive...
  • bip-pde-vi

  • Referenced in 1 article [sw42055]
  • inverse problems using sparse precision matrices. Inverse problems involving partial differential equations (PDEs) are widely ... placed on the quantity of interest. The resulting posterior probability measure is usually analytically intractable...
  • CPDES2

  • Referenced in 1 article [sw00165]
  • problems require the solution of coupled partial differential equations (PDE’s) on two-dimensional domains ... needed to perform the algorithm.par The resulting sparse matrix equation is solved by either...
  • TTCA

  • Referenced in 0 articles [sw15535]
  • often cannot cope with irregular and sparse measurements. The method proposed here is specifically designed ... replicate numbers and irregular sampling times. The results are given in the form of tables ... package for the identification of differentially expressed genes in time course microarray data...