• LIMbook

  • Referenced in 43 articles [sw14520]
  • Line Integral Methods for Conservative Problems. The book explains the numerical solution ... differential equations within the framework of geometric integration, a branch of numerical analysis that devises ... reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book ... begins with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered...
  • TRIC

  • Referenced in 47 articles [sw02165]
  • involves only exact integrations; its stiffness, mass and geometrical matrices are all explicitly derived...
  • XFEM

  • Referenced in 370 articles [sw01026]
  • near-tip, and discontinuous quadrature rules); domain integral methods for homogeneous and bi-material interface ... approximations are independent; enrichment detection schemes: topological, geometrical, narrow-band, etc.; multi-material problem with...
  • GniCodes

  • Referenced in 8 articles [sw21086]
  • GniCodes – Matlab programs for geometric numerical integration. Geometric numerical integration is synonymous with structure-preserving ... integration of ordinary differential equations. These notes, prepared for the Durham summer school ... Hairer, C. Lubich and G. Wanner [Geometric numerical integration. Structure-preserving algorithms for ordinary differential ... symmetry. The improved performance of such geometric integrators is best understood with the help...
  • GeoThms

  • Referenced in 25 articles [sw06216]
  • based framework for exploring geometrical knowledge that integrates dynamic geometry software (DGS), automatic theorem provers...
  • DiffMan

  • Referenced in 10 articles [sw01598]
  • recent development within the area of geometric integration. Through the use of elements from differential...
  • G23FM

  • Referenced in 6 articles [sw06635]
  • finite element grids that maintain the geometric integrity of input surfaces, and geologic data...
  • NetNUMPAC

  • Referenced in 6 articles [sw19081]
  • functions of exponential functionals represented as integrals of geometric Brownian motion. The purpose of this ... exponential functionals represented as integrals in time of geometric Brownian motions and to present results...
  • Electronic Geometry Textbook

  • Referenced in 8 articles [sw08745]
  • knowledge management system that manages geometric textbook knowledge to enable users to construct and share ... each resulting textbook. By integrating an external geometric theorem prover and an external dynamic geometry...
  • VarInt

  • Referenced in 2 articles [sw11255]
  • VarInt: variational integrator design with maple. Geometric numerical integration refers to a class of numerical ... integration algorithms that preserve the differential geometric structure that defines the evolution of dynamical systems ... intrinsic time scales, standard (non-geometric) integrators are often advantageous, as they include adaptive ... fast. Extended computations require a different, geometric approach, as non-geometric methods tend to generate...
  • GA-Coupling Analyzer

  • Referenced in 4 articles [sw16834]
  • multi-temporal geographical model simulation data, the geometric algebra (GA) is introduced to design methods ... prototype system “GA-Coupling Analyzer” to integrate all the methods. The system is demonstrated with ... that our approach can provide a unified geometric meaningful approach for complex geo-simulation data ... analysis. The representation can well integrate the geometric representation and algebraic computation. With the powerful...
  • TABI

  • Referenced in 22 articles [sw18194]
  • surface. The surface is triangulated and the integral equations are discretized by centroid collocation ... relatively simple implementation, efficient memory usage, and geometric adaptability...
  • D-NURBS

  • Referenced in 16 articles [sw09123]
  • NURBS geometric substrate. Their dynamic behavior, resulting from the numerical integration ... wide range of computer-aided geometric design (CAGD) applications...
  • AVL

  • Referenced in 18 articles [sw09036]
  • adjustable modeling depth, user extendable, ready for integration in your CAx environment - specialized in accurate ... most demanding flow problems in respect to geometric complexity and chemical and physical modeling. FIRE ... features and capabilities, pre-and post-processing integrated in a common environment and workflows...
  • Pcp2Nurb

  • Referenced in 18 articles [sw00689]
  • patch. If the subnet does not have geometrically redundant edges, this patch joins smoothly with ... regular C 1 surface. The patch integrates smoothly with untrimmed biquadratic tensor-product surfaces derived ... retained in this representation by using geometrically redundant edges in the planar-cut polyhedron...
  • MSC/DYTRAN

  • Referenced in 8 articles [sw09028]
  • time integration and incorporates features that simulate a wide range of material and geometric nonlinearity...
  • FACET

  • Referenced in 2 articles [sw36117]
  • computer code FACET calculates the radiation geometric view factor (alternatively called shape factor, angle factor ... second section presents the defining integral equation for the geometric view factor between two surfaces ... section are the numerical algorithms used to integrate this equation for the various geometries...
  • MorphoJ

  • Referenced in 2 articles [sw08244]
  • MorphoJ: an integrated software package for geometric morphometrics. Increasingly, data on shape are analysed ... ecological information, so that tools for geometric morphometric analysis are required. Morphometric studies most often ... different biological contexts. The program offers an integrated and user-friendly environment for standard multivariate...
  • GAviewer

  • Referenced in 10 articles [sw10858]
  • framework for geometric programming. It has new, geometrically meaningful products to calculate directly with ... computer graphics and robotics. It naturally integrates other useful frameworks (such as complex numbers, quaternions...
  • CDE

  • Referenced in 6 articles [sw23345]
  • integrable systems. We describe CDE, a Reduce package devoted to differential-geometric computations on Differential...