• BEMECH

  • Referenced in 111 articles [sw10847]
  • elasto-plasticity; b) the formulation of boundary integral equations for elasto-plasticity; 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...
  • Sinc-Pack

  • Referenced in 72 articles [sw13600]
  • dimensional Sinc theory – 2. Sinc convolution-boundary 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 two-point boundary value conditions...
  • AUTO-86

  • 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 well-conditioned boundary integral equation of the linearized Poisson-Boltzmann 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 treecode-accelerated boundary integral (TABI) solver for electrostatics of solvated biomolecules ... linear Poisson-Boltzmann equation. The method employs a well-conditioned 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 boundary-element 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 pseudo-spectral solver for incompressible boundary layer flows. This report is a part ... spectral integration technique to solve the Navier-Stokes 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 free-stream 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 energy-conserving Runge-Kutta methods, also known as Hamiltonian boundary value ... numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions of the energy-conserving...
  • channelflow

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

  • Referenced in 1 article [sw34463]
  • double-layer 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...