• # CSparse

• Referenced in 216 articles [sw20382]
• Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution ... matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide ... MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with...
• # redbKIT

• Referenced in 208 articles [sw12977]
• methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering ... general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic...
• # HyENA

• Referenced in 7 articles [sw20711]
• numerical solution of partial differential equations using the boundary element method (BEM). The following features ... spatial discretization; Convolution Quadrature Method (CQM) for temporal discretization; Fundamental solutions for different elliptic...
• # COMET

• Referenced in 77 articles [sw03051]
• decades, constraint programming has emerged as a fundamental methodology to solve a variety of combinatorial ... near-optimal solutions within reasonable time constraints. This book introduces a method for solving combinatorial...
• # COFFEE

• Referenced in 22 articles [sw20274]
• solution of partial differential equations using the finite element method. An optimisation pipeline in COFFEE ... designed to exploit a fundamental mathematical property of finite element integration kernels, namely linearity...
• # MPSalsa

• Referenced in 24 articles [sw06960]
• spatial dimensions when coupled with a detailed, fundamental chemistry model. The goal of our research ... coupled, implicit solution strategies that are based on robust MP iterative solution methods...
• # Algorithm 967

• Referenced in 6 articles [sw23693]
• distributed-memory fast multipole method for volume potentials. The solution of a constant-coefficient elliptic ... integral transform: A convolution with the fundamental solution of the PDE, also known ... volume potential. We present a fast multipole method (FMM) for computing volume potentials...
• # QPLIB

• Referenced in 10 articles [sw31286]
• solution methods, ranging from entirely combinatorial approaches to completely continuous algorithms, including many methods ... which both aspects are fundamental. Selecting a set of instances of QP that...
• # elastoplastic contact

• Referenced in 3 articles [sw39190]
• This method is based on a new derivation of the Mindlin fundamental solution in Fourier ... Fourier transform. The use of this Mindlin solution allows a dramatic reduction of the memory ... integral operators. We validate our method against an elastic-plastic FEM Hertz normal contact simulation...
• # SUPERCALC

• Referenced in 6 articles [sw00928]
• computation of anomalies in string theory. Solution method: Using the algebraic properties of bracket structures ... operators is expressed by the commutators of fundamental operators. For ordered products, the theorem...
• # 2D-WFMM

• Referenced in 5 articles [sw10424]
• complex Helmholtz equation. A wideband fast multipole method (FMM) for the 2D Helmholtz equation ... between $N$ particles governed by the fundamental solution of 2D complex Helmholtz equation...
• # rogue-waves

• Referenced in 15 articles [sw32953]
• hierarchy. We study the fundamental rogue wave solutions of the focusing nonlinear Schrödinger equation ... Riemann-Hilbert representation of the rogue wave solution of arbitrary order (k), we establish ... solution is viewed in appropriate rescaled variables capturing the near-field region where the solution ... limit solution and compare the asymptotic formulas with the exact solution using numerical methods...
• # PARTY

• Referenced in 10 articles [sw20518]
• number of pieces is one of the fundamental tasks in computer science and occurs ... terms of computation time as well as solution quality is heavily influenced by choices ... library serves a variety of different partitioning methods. Instead of implementing the methods by himself...
• # XELOPES

• Referenced in 1 article [sw12850]
• intelligence library which unites classical data mining methods and new real time analytics. The library ... standalone software, offering pre-fabricated solutions to fundamental analytics problems. It can also be integrated ... modules, allow for the development of adequate solutions. The XELOPES library focuses on the prudsys ... offering universal access to all real time methods. At the centre of this framework...
• # CART_TUB

• Referenced in 1 article [sw38621]
• Computational classification of tubular algebras. The effective method (based on Theorem 5.3) of classifying tubular ... indecomposable direct summands in some finite “fundamental domain” , by the reduction to the two elementary ... problems of discrete mathematics having algorithmic solutions is presented in details (see Problem ... CART_TUB being an implementation of this method yields the precise classification...
• # Z2pack

• Referenced in 3 articles [sw20875]
• established band structure topology as a fundamental material property. Consequently, identifying band topologies has become ... often challenging problem, with no exhaustive solution at the present time. In this work ... solution to this problem for a large set of the possible band topologies. The method...
• # SKRYN

• Referenced in 2 articles [sw16771]
• SKRYN: a fast semismooth-Krylov-Newton method for controlling Ising spin systems. The modeling ... control of Ising spin systems is of fundamental importance in NMR spectroscopy applications. In this ... able to provide fast and accurate solutions to the Ising spin quantum optimization problem...
• # ReHaG

• Referenced in 2 articles [sw16772]
• SKRYN: a fast semismooth-Krylov-Newton method for controlling Ising spin systems. The modeling ... control of Ising spin systems is of fundamental importance in NMR spectroscopy applications. In this ... able to provide fast and accurate solutions to the Ising spin quantum optimization problem...
• # MLPart

• Referenced in 2 articles [sw08415]
• Fiduccia-Mattheyses (FM) algorithm, which is a fundamental partitioning algorithm for the circuit partitioning problem ... show both computationally and theoretically that our method can escape successfully from previous discrete local ... same set of benchmarks show that the solutions obtained in this way have...