
BEMECH
 Referenced in 111 articles
[sw10847]
 elastoplasticity; b) the formulation of boundary integral equations for elastoplasticity; c) the description ... numerical algorithms for the implementation of boundary element method; d) the description of methods...

AUTO
 Referenced in 911 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...

SincPack
 Referenced in 72 articles
[sw13600]
 dimensional Sinc theory – 2. Sinc convolutionboundary integral equation methods for partial differential equations (PDEs...

bvp4c
 Referenced in 252 articles
[sw06178]
 Solve boundary value problems for ordinary differential equations. sol = bvp4c(odefun,bcfun,solinit) integrates ... interval [a,b] subject to twopoint boundary value conditions...

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...

AFMPB
 Referenced in 9 articles
[sw08875]
 applied to solve a wellconditioned boundary integral equation of the linearized PoissonBoltzmann equation...

Algorithm 788
 Referenced in 6 articles
[sw04670]
 Algorithm 788: Automatic boundary integral equation programs for the planar Laplace equation Algorithms with automatic ... equation on both interior and exterior regions, with both Dirichlet and Neumann boundary conditions ... each boundary value problem as a boundary integral equation of the second kind. The Nystr ... integral equations, and convergence of arbitrary high order is observed when the boundary data...

TABI
 Referenced in 22 articles
[sw18194]
 biomolecules. We present a treecodeaccelerated boundary integral (TABI) solver for electrostatics of solvated biomolecules ... 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...

Fastcap
 Referenced in 28 articles
[sw08926]
 acceleration of the boundaryelement technique for solving the integral equation associated with the multiconductor ... number of conductors. Performance comparisons on integrated circuit bus crossing problems show that for problems ... conductors the multipole accelerated boundary element method can be nearly 500 times faster than Gaussian...

SIMSON
 Referenced in 38 articles
[sw13385]
 SIMSON: a pseudospectral solver for incompressible boundary layer flows. This report is a part ... spectral integration technique to solve the NavierStokes equations for incompressible channel and boundary layer ... equations in a channel flow geometry. That algorithm has been reimplemented in a boundary layer ... this an artificial freestream boundary condition was introduced, and for spatial simulations a fringe...

BIEPACK
 Referenced in 6 articles
[sw16496]
 Boundary Integral Equation Package. BIEPACK is a package of programs, written in Fortran 77, which...

INSANE
 Referenced in 4 articles
[sw08848]
 four integral equations: the displacement boundary integral equation, and the Somigliana’s integral identities...

AUTO2000
 Referenced in 51 articles
[sw04643]
 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...

CompEcon
 Referenced in 49 articles
[sw04789]
 other functional families, a set of numerical integration routines for general functions and for common ... general solvers for Ordinary Differential Equations (both initial and boundary value problems), routines for solving...

HILBERT
 Referenced in 23 articles
[sw08683]
 adaptive Galerkin boundary element methods for the numerical solution of the Poisson equation ... several purposes: The stable implementation of the integral operators may be used in research code ... Matlab ensures usability in lectures on boundary element methods or scientific computing. Finally, we emphasize...

PREMIX
 Referenced in 34 articles
[sw27815]
 transport. After stating the appropriate governing equations and boundary conditions, we discuss the finite difference ... boundary value problem. Global convergence of this algorithm is aided by invoking time integration procedures...

LIMbook
 Referenced in 44 articles
[sw14520]
 numerical solution of differential equations within the framework of geometric integration, a branch of numerical ... begins with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered ... line integral methods: the energyconserving RungeKutta methods, also known as Hamiltonian boundary value ... numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions of the energyconserving...

channelflow
 Referenced in 49 articles
[sw07526]
 spectral CFD1) algorithm for integrating the NavierStokes equations. This engine drives a number ... expansions appropriate for rectangular geometries with periodic boundary conditions in two directions and rigid walls...

AsymptoticDLP
 Referenced in 1 article
[sw34463]
 doublelayer potentials. When using boundary integral equation methods to solve a boundary value problem ... evaluation of the solution near the boundary is challenging to compute because the layer potentials ... that represent the solution are nearly singular integrals. To address this close evaluation problem ... asymptotic analysis of these nearly singular integrals and obtaining an asymptotic approximation. We derive...

BEMDYN
 Referenced in 1 article
[sw01190]
 program is based on a boundary integral equation that relates to the Laplace transformed boundary ... theoretical basis is presented. Further, an optimal integration scheme is proposed and novel analytical expressions...