• # redbKIT

• Referenced in 255 articles [sw12977]
• presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses ... highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies ... proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed ... posteriori error analysis. Reduced basis methods for partial differential equations. An introduction. The whole mathematical...
• # 2EBD-HPE

• Referenced in 15 articles [sw31879]
• first-order block-decomposition method for solving two-easy-block structured semidefinite programs. The paper ... deals with a new first-order block-decomposition method which is proposed to minimize...
• # Modulef

• Referenced in 39 articles [sw01072]
• biharmonic operator by a mixed finite element method of order 1 or 2. Calculation ... Computation of homogenised coefficients of composite structures. Decomposition of domains. Several modules are available...
• # MONACO

• Referenced in 34 articles [sw20793]
• simulation Monte Carlo (DSMC) method. It uses a localized data structure based on a computational ... structure makes it possible to freely assign any cell to any processor, a domain decomposition...

• Referenced in 36 articles [sw04866]
• structural parameters is often essential. Applications include parametric optimization, saddle point problems, Benders decompositions ... optimal values. The result is a method that yields large savings in time and memory...
• # LOBPCG

• Referenced in 33 articles [sw09638]
• Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic ... eigenvalue problem Ax=λx exhibits Kronecker product structure. In particular, we are concerned with ... this paper, we use the hierarchical Tucker decomposition to develop a low-rank variant ... show how the ALS and MALS (DMRG) methods known from computational quantum physics...
• # FE2TI

• Referenced in 6 articles [sw13908]
• macroscopic problem. On the RVEs nonlinear implicit structural mechanics problems have to be solved ... decomposition methods of the FETI type are well established solution methods in implicit structural mechanics...
• # jmcm

• Referenced in 3 articles [sw23057]
• mean and covariance structures, namely modified Cholesky decomposition (MCD), alternative Cholesky decomposition (ACD) and hyperspherical ... distribution using the MCD, ACD and HPC methods. The use of package jmcm is illustrated...
• # PCPATCH

• Referenced in 9 articles [sw41124]
• construction of multigrid relaxation methods. Effective relaxation methods are necessary for good multigrid convergence ... space decompositions are required; examples include problems with semidefinite terms or saddle point structure ... topological construction of space decompositions for multigrid relaxation methods. Space decompositions are specified by collecting...
• # SPAMS

• Referenced in 1 article [sw32070]
• coordinate descent, OMP, SOMP, proximal methods; Solving structured sparse decomposition problems (l1/l2, l1/linf, sparse group...
• # FaCSI

• Referenced in 18 articles [sw18530]
• coupled problem, namely the fluid, the structure and the geometry. In the fluid subproblem, after ... preconditioners, e.g., based on domain decomposition or the multigrid method. We measure the parallel performances...
• # JIVE

• Referenced in 22 articles [sw09511]
• integrated analysis of such data sets. The decomposition consists of three terms: a low-rank ... across data types, low-rank approximations for structured variation individual to each data type ... exploration of joint and individual structures. The proposed method represents an extension of Principal Component...
• # NSPCG

• Referenced in 35 articles [sw00636]
• wide range of structures from highly structured ones such as those with all nonzeros along ... available are point methods such as Jacobi, incomplete $LU$ decomposition and symmetric successive overrelaxation...
• # CHAMP

• Referenced in 6 articles [sw08494]
• used this method to compute the Calogero–Moser families, the decomposition matrices of the Verma ... modules, and the structure of the simple modules as graded G-modules for generic restricted...
• # CTF

• Referenced in 8 articles [sw25687]
• electronic structure method to massively-parallel supercomputers. The framework preserves tensor structure by subdividing tensors ... cyclically, producing a regular parallel decomposition. An internal virtualization layer provides completely general mapping support...
• # BaPCod

• Referenced in 20 articles [sw09871]
• offer a “black-box” implementation of the method: the input is the set of constraints ... which the decomposition is based (it is handy to test different decompositions); the reformulation ... branching scheme that preserves the pricing problem structure is offered by default; it runs based...
• # Algorithm 870

• Referenced in 2 articles [sw12986]
• domain decomposition method uses an approximation of a Medial Axis as an auxiliary structure ... subdomains (separators). The N-way decomposition is based on the “divide and conquer” algorithmic paradigm...