A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Using dense storage to solve small sparse linear systems
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Experiences of sparse direct symmetric solvers
ACM Transactions on Mathematical Software (TOMS)
deal.II—A general-purpose object-oriented finite element library
ACM Transactions on Mathematical Software (TOMS)
FiberMesh: designing freeform surfaces with 3D curves
ACM SIGGRAPH 2007 papers
On the development of PSBLAS-based parallel two-level Schwarz preconditioners
Applied Numerical Mathematics
Modular hp-FEM system HERMES and its application to Maxwell's equations
Mathematics and Computers in Simulation
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Rigid shape interpolation using normal equations
NPAR '08 Proceedings of the 6th international symposium on Non-photorealistic animation and rendering
A domain decomposition solver for acoustic scattering by elastic objects in layered media
Journal of Computational Physics
Computation of viscoelastic fluid flows using continuation methods
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Scaling and pivoting in an out-of-core sparse direct solver
ACM Transactions on Mathematical Software (TOMS)
DOLFIN: Automated finite element computing
ACM Transactions on Mathematical Software (TOMS)
Spatial relationship preserving character motion adaptation
ACM SIGGRAPH 2010 papers
Modelling intravasation of liquid distension media in surgical simulators
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
A tearing-based hybrid parallel sparse linear system solver
Journal of Computational and Applied Mathematics
ACM Transactions on Mathematical Software (TOMS)
Algorithm 907: KLU, A Direct Sparse Solver for Circuit Simulation Problems
ACM Transactions on Mathematical Software (TOMS)
Modeling and computation of two phase geometric biomembranes using surface finite elements
Journal of Computational Physics
Sparse non-linear least squares optimization for geometric vision
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Neural, Parallel & Scientific Computations
Large Time Step Finite Volume Evolution Galerkin Methods
Journal of Scientific Computing
Biomechanically-inspired motion path editing
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
FATODE: a library for forward, adjoint and tangent linear integration of stiff systems
Proceedings of the 19th High Performance Computing Symposia
Towards the automatic generation of 3D photo-realistic avatars using 3D scanned data
MIRAGE'11 Proceedings of the 5th international conference on Computer vision/computer graphics collaboration techniques
Harmonic response computation of viscoelastic multilayered structures using a ZPST shell element
Computers and Structures
A CPU-GPU hybrid approach for the unsymmetric multifrontal method
Parallel Computing
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
SIAM Journal on Scientific Computing
A Krylov Method for the Delay Eigenvalue Problem
SIAM Journal on Scientific Computing
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Design of a Multicore Sparse Cholesky Factorization Using DAGs
SIAM Journal on Scientific Computing
A Contour Integral Method for the Black-Scholes and Heston Equations
SIAM Journal on Scientific Computing
A two-dimensional domain decomposition technique for the simulation of quantum-scale devices
Journal of Computational Physics
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations
Journal of Computational Physics
2011 TAU power grid simulation contest: benchmark suite and results
Proceedings of the International Conference on Computer-Aided Design
Model order reduction for large scale engineering models developed in ANSYS
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
On the necessity of Nitsche term. Part II: An alternative approach
Applied Numerical Mathematics
Applied Numerical Mathematics
Fine granularity sparse QR factorization for multicore based systems
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
Proceedings of the 49th Annual Design Automation Conference
Dynamic river network simulation at large scale
Proceedings of the 49th Annual Design Automation Conference
Efficient determination of the hyperparameter in regularized total least squares problems
Applied Numerical Mathematics
A Fast Solver for a Nonlocal Dielectric Continuum Model
SIAM Journal on Scientific Computing
Asymptotic-preserving scheme for highly anisotropic non-linear diffusion equations
Journal of Computational Physics
Structure Preserving Manipulation and Interpolation for Multi-element 2D Shapes
Computer Graphics Forum
Constrained Dogleg methods for nonlinear systems with simple bounds
Computational Optimization and Applications
Automated Comparison of State-Based Software Models in Terms of Their Language and Structure
ACM Transactions on Software Engineering and Methodology (TOSEM)
An efficient algorithm for sparse null space basis problem using ABS methods
Numerical Algorithms
Multi-threaded nested filtering factorization preconditioner
PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing
Worst-case structural analysis
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Harmonic response computation of poroelastic multilayered structures using ZPST shell elements
Computers and Structures
Interactive partner control in close interactions for real-time applications
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
Algorithm 930: FACTORIZE: An object-oriented linear system solver for MATLAB
ACM Transactions on Mathematical Software (TOMS)
Harmonic parameterization by electrostatics
ACM Transactions on Graphics (TOG)
Computers & Mathematics with Applications
Shape-aware skeletal deformation for 2D characters
The Visual Computer: International Journal of Computer Graphics
Applying microprocessor analysis methods to river network modelling
Environmental Modelling & Software
Journal of Computational Physics
Advances in Engineering Software
Time integration for diffuse interface models for two-phase flow
Journal of Computational Physics
An analysis of the Prothero-Robinson example for constructing new DIRK and ROW methods
Journal of Computational and Applied Mathematics
Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems
Scientific Programming
| Hi-index | 0.04 |
An ANSI C code for sparse LU factorization is presented that combines a column pre-ordering strategy with a right-looking unsymmetric-pattern multifrontal numerical factorization. The pre-ordering and symbolic analysis phase computes an upper bound on fill-in, work, and memory usage during the subsequent numerical factorization. User-callable routines are provided for ordering and analyzing a sparse matrix, computing the numerical factorization, solving a system with the LU factors, transposing and permuting a sparse matrix, and converting between sparse matrix representations. The simple user interface shields the user from the details of the complex sparse factorization data structures by returning simple handles to opaque objects. Additional user-callable routines are provided for printing and extracting the contents of these opaque objects. An even simpler way to use the package is through its MATLAB interface. UMFPACK is incorporated as a built-in operator in MATLAB 6.5 as x = A\b when A is sparse and unsymmetric.