
XPPAUT
 Referenced in 423 articles
[sw05543]
 Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily solved...

PETSc
 Referenced in 1218 articles
[sw04012]
 suite of parallel linear, nonlinear equation solvers and time integrators that may be used...

Octave
 Referenced in 294 articles
[sw00646]
 problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary...

ode23
 Referenced in 292 articles
[sw06600]
 with tspan = [t0 tf] integrates the system of differential equations y′ = f(t,y) from ... options) solves as above with default integration parameters replaced by property values specified in options...

NEURON
 Referenced in 180 articles
[sw03059]
 support parallel network simulations. Each processor integrates the equations for its subnet over an interval ... linear speedup on 2000 processors, with an integration time of 9.8 seconds and communication time...

bvp4c
 Referenced in 248 articles
[sw06178]
 problems for ordinary differential equations. sol = bvp4c(odefun,bcfun,solinit) integrates a system of ordinary...

BEMECH
 Referenced in 111 articles
[sw10847]
 plasticity; b) the formulation of boundary integral equations for elastoplasticity; c) the description...

SincPack
 Referenced in 71 articles
[sw13600]
 Sinc theory – 2. Sinc convolutionboundary integral equation methods for partial differential equations (PDEs ... integral equations – 3. Explicit 1D program solutions via SincPack – 4. Explicit program solutions...

REDUCE
 Referenced in 741 articles
[sw00789]
 integration; factorization of polynomials; facilities for the solution of a variety of algebraic equations; facilities...

AUTO
 Referenced in 903 articles
[sw01059]
 systems of ordinary differential equations of the form ... subject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more ... applicable to rather large systems of differential equations...

Stata
 Referenced in 813 articles
[sw06029]
 Stata is a complete, integrated statistical package that provides everything you need for data analysis ... adds many new features such as structural equation modeling (SEM), contrasts, ARFIMA, business calendars, chained...

INTLAB
 Referenced in 435 articles
[sw04004]
 fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... sequential approach, slow for many variables) verified integration of (simple) univariate functions univariate and multivariate...

Maxima
 Referenced in 154 articles
[sw00560]
 expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations...

CRACK
 Referenced in 57 articles
[sw07754]
 classification of integrable systems. The classifications of integrable systems are obtained by using a computer ... method to reduce the length of the equations for large bilinear ... algebraic systems is presented. The integrable polynomial vector evolution equations, quadratic Hamiltonians with...

AUTO86
 Referenced in 276 articles
[sw04220]
 Rnand of systems of ordinary differential equations of the formu ... Rnsubject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more ... applicable to rather large systems of differential equations...

Fastcap
 Referenced in 28 articles
[sw08926]
 boundaryelement technique for solving the integral equation associated with the multiconductor capacitance extraction problem ... number of conductors. Performance comparisons on integrated circuit bus crossing problems show that for problems...

Taylor
 Referenced in 88 articles
[sw10816]
 numerical integration of initial value problems of ordinary differential equations (ODEs). The main goal ... computer program that outputs a specific numerical integrator for a given set of ODEs...

TABI
 Referenced in 22 articles
[sw18194]
 linear PoissonBoltzmann equation. The method employs a wellconditioned boundary integral formulation ... surface is triangulated and the integral equations are discretized by centroid collocation. The linear system...

elsA
 Referenced in 35 articles
[sw07602]
 Refinement and Chimera techniques. The discrete equations are integrated either by multistage RungeKutta schemes ... dual time stepping method or the Gear integration scheme are employed. Preconditioning is used ... dealing with calculation of gradients by linearized equation or by adjoint solver techniques is very...

hlib
 Referenced in 69 articles
[sw04080]
 treatment of partial differential equations and a number of integral operators as well as support...