
Janet
 Referenced in 35 articles
[sw07776]
 linear systems of partial differential equations. It works with left modules over differential algebras defined ... over differential fields of characteristic zero which exist in Maple. Janet also provides a number ... differential operators. A generic linearization for a nonlinear system of partial differential equations ... Weyl algebra representing ordinary differential operators in characteristic zero whose coefficients are rational functions...

LPDO
 Referenced in 3 articles
[sw11549]
 package to work with linear partial differential operators. The paper describes package LPDO, which ... designed for work with linear partial differential operators with symbolic coefficients in the computer algebra...

LEON
 Referenced in 1 article
[sw11425]
 states that every nonzero linear partial differential operator with constant coefficients has a Green...

COFFEE
 Referenced in 18 articles
[sw20274]
 composed with the aim of reducing the operation count. Code specialisation, to maximise the impact ... automated system for the solution of partial differential equations using the finite element method ... finite element integration kernels, namely linearity of operators in test and trial functions...

NSWC
 Referenced in 11 articles
[sw09119]
 elementary operations, geometry, special functions, polynomials, vectors, matrices, large dense systems of linear equations, banded ... eigenvectors, l1 solution of linear equations, leastsquares solution of linear equations, optimization, transforms, approximation ... fitting, numerical integration, integral equations, ordinary differential equations, partial differential equations, and random number generation...

TAUCS
 Referenced in 31 articles
[sw04014]
 Factor and Solve. Can solve huge unsymmetric linear systems. Ordering Codes and Interfaces to Existing ... these are symmetric orderings. Matrix Operations. Matrixvector multiplication, triangular solvers, matrix reordering. Matrix Input/Output ... discretizations of 2 and 3dimensional partial differential equations. Useful for testing the solvers. Iterative...

FastDer++
 Referenced in 10 articles
[sw07041]
 linear systems of partial differential equations (PDEs) and ODEs. Although automatic differentiation is traditionally considered ... slow for implementation in nonlinear PDE and ODE solvers, it has recently been demonstrated ... Tijskens, H. Ramon, J. De Baerdemaeker, Efficient operator overloading AD for solving nonlinear PDEs...

LDA
 Referenced in 3 articles
[sw21695]
 like monomial divisions associated with finite difference operators. The package can be used, for example ... automatic generation of difference schemes for linear partial differential equations and for reduction of multiloop...

RBmatlab
 Referenced in 5 articles
[sw12864]
 methods implementing gridbased discretization operators of partial differential equations. (M2) Reduced basis generation routines ... routines for specific problem classes, such as: Linear evolution equations, Nonlinear evolution equations, Linear...

rSQP++
 Referenced in 5 articles
[sw01434]
 massively parallel iterative solvers used in partial differential equationconstrained optimization have not yet been ... fully parallel linear algebra, but could also greatly restrict the kinds of operations that need...

CARPCG
 Referenced in 8 articles
[sw00105]
 values from the different blocks. The averaging operations are equivalent to a sequence of certain ... double sweep on the equations of a linear system, using a fixed relaxation parameter. CGMN ... some stiff linear systems derived from convection dominated elliptic partial differential equations. The results indicate...

ExaGeoStat
 Referenced in 6 articles
[sw30062]
 contrast to simulation based on partial differential equations derived from firstprinciples modeling, ExaGeoStat employs ... Gaussian loglikelihood function, which operates on a large dense covariance matrix. Generated ... storage and ${mathcal O}(n^3)$ operations are required. While many approximation methods have been ... stateoftheart high performance dense linear algebra libraries associated with various leading edge...

JET
 Referenced in 2 articles
[sw33765]
 symmetry analysis of evolution partial differential systems with two independent variables and related problems: computation ... differential substitutions and Bäcklund transformations, computation of recursion operators and Noether operators; several computations ... antisymmetry, symplectic and cosymplectic conditions of linear integrodifferential operators and some others. All routines...

Fastflo
 Referenced in 3 articles
[sw12889]
 package for the numerical solution of partial differential equations (PDEs) in one, two and three ... well known (such as fluid flow, linear elasticity, heat conduction, electromagnetism, eigenvalue problems ... finite element environment. Finite element operations like assembly and solving are invoked by simple commands...

OpenCurrent
 Referenced in 1 article
[sw11883]
 open source C++ library for solving Partial Differential Equations (PDEs) over regular grids using ... single precision. Grids support operations like computing linear combinations, managing hostdevice memory transfers, interpolating...

CPDES2
 Referenced in 1 article
[sw00165]
 gradient solver for linear asymmetric matrix equations arising from coupled partial differential equations ... problems require the solution of coupled partial differential equations (PDE’s) on twodimensional domains ... difference approximations employed. CPDES2 allows each spatial operator to have 5 or 9 point stencils...

ParElag
 Referenced in 1 article
[sw34861]
 efficient solution of the algebraic linear system arising from mixed finite element discretization of saddle ... upscaled discretization for wide classes of partial differential equations and unstructured meshes in an element ... original finite element discretization but also are operator dependent. ParElag uses the MFEM library...

Numerical Solutions
 Referenced in 0 articles
[sw06013]
 integrals (including multiple integrals), find derivatives (including partial derivatives), find maxima and minima (even ... systems of such (linear ones are better solved by LINEAR ALGEBRA), Linear Algebra performs ... computations with real matrices, including solution of linear systems of equations (even least squares solution ... general matrices, Ordinary Differential Equations solves linear or nonlinear differential equations and systems of such...

ADOLC
 Referenced in 233 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

ALBERT
 Referenced in 81 articles
[sw00025]
 ALBERT  Software for scientific computations and applications. Adaptive...