Search Results - Packaged methods for numerical algorithms

Evaluating numerical ODE/DAE methods, algorithms and software

Authors: Lina Wang Gustaf Söderlind

Source: Journal of Computational and Applied Mathematics. 185:244-260

Subject Terms: Numerical methods for differential-algebraic equations, ODE software, Work/precision, ODE, Numerical examples, Applied Mathematics, General topics in the theory of software, Nonlinear ordinary differential equations and systems, ordinary differential equation, Mathematical software, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Software testing, differential-algebraic equation, Computational Mathematics, Computational stability, Packaged methods for numerical algorithms, DAE software, Algorithm analysis, Test protocols, DAE, 0101 mathematics, Adaptive time-stepping, Implicit ordinary differential equations, differential-algebraic equations

File Description: application/xml

Access URL: https://zbmath.org/2217913
https://doi.org/10.1016/j.cam.2005.03.009
https://core.ac.uk/display/83745903
https://www.sciencedirect.com/science/article/abs/pii/S0377042705001135
https://dialnet.unirioja.es/servlet/articulo?codigo=1276508
http://www.lunduniversity.lu.se/lup/publication/1c6013f2-3795-44df-a100-653f34d9cabc
https://portal.research.lu.se/portal/sv/publications/evaluating-numerical-odedae-methods-algorithms-and-software(1c6013f2-3795-44df-a100-653f34d9cabc).html
https://ui.adsabs.harvard.edu/abs/2006JCoAM.185..244S/abstract

Algorithm 796: a Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method

Authors: D'AMORE, LUISA LACCETTI, GIULIANO MURLI, ALMERICO

Source: ACM Transactions on Mathematical Software. 25:306-315

Subject Terms: Laplace transform, 4. Education, automatic stopping criterion, Laplace transform inversion, Packaged methods for numerical algorithms, Fourier series methods, 0101 mathematics, algorithms, 01 natural sciences, Numerical methods for integral transforms, Fortran software package

File Description: application/xml

Access URL: http://hdl.handle.net/11588/310352
https://dblp.uni-trier.de/db/journals/toms/toms25.html#DAmoreLM99a
https://dialnet.unirioja.es/servlet/articulo?codigo=2646253
https://dl.acm.org/doi/10.1145/326147.326149
https://doi.org/10.1145/326147.326149
https://hdl.handle.net/11588/310352

An immersed boundary method using online sequential data assimilation

Authors: Miguel M. Valero Marcello Meldi

Source: Journal of Computational Physics. 524:113697

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, DA, wall turbulence, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Packaged methods for numerical algorithms, EnKF, IBM

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Access URL: https://zbmath.org/7996112
https://doi.org/10.1016/j.jcp.2024.113697

Numerical linear algebra algorithms and software

Authors: Jack Dongarra Victor Eijkhout

Source: Numerical Analysis: Historical Developments in the 20th Century ISBN: 9780444506177

Subject Terms: software libraries, Iterative numerical methods for linear systems, nested dissections, Applied Mathematics, Numerical computation of matrix norms, conditioning, scaling, block methods, Direct numerical methods for linear systems and matrix inversion, 01 natural sciences, survey paper, preconditioners, Computational methods for sparse matrices, Computational Mathematics, dense algorithms, iteration methods, Research exposition (monographs, survey articles) pertaining to numerical analysis, LU factorization, Krylov subspace methods, Packaged methods for numerical algorithms, bandwidth reduction, 0101 mathematics, incomplete factorization, performance, sparse algorithms

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Access URL: https://ui.adsabs.harvard.edu/abs/2000JCoAM.123..489D/abstract
https://www.sciencedirect.com/science/article/pii/S0377042700004003
https://www.sciencedirect.com/science/article/abs/pii/S0377042700004003
http://www.netlib.org/utk/people/JackDongarra-20130-07-11/PAPERS/111_1999_numerical-linear-algebra-algorithms-and-software.pdf
https://www.icl.utk.edu/files/publications/1999/icl-utk-62-1999.pdf
http://jupiter.math.nctu.edu.tw/~smchang/0101/MC/2001NLAAS.pdf

Sapphire++: A Particle Transport Code Combining a Spherical Harmonic Expansion and the Discontinuous Galerkin Method: Sapphire++: a particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method

Authors: Nils W. Schween Florian Schulze Brian Reville

Source: Journal of Computational Physics. 523:113690

Subject Terms: High Energy Astrophysical Phenomena (astro-ph.HE), particle acceleration, Vlasov-Fokker-Planck, spherical harmonics, FOS: Physical sciences, discontinuous Galerkin method, Physics - Plasma Physics, Plasma Physics (physics.plasm-ph), cosmic rays, numerical methods, Packaged methods for numerical algorithms, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Astrophysics - High Energy Astrophysical Phenomena, Astrophysics - Instrumentation and Methods for Astrophysics, Instrumentation and Methods for Astrophysics (astro-ph.IM), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: http://arxiv.org/abs/2501.05110

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method

Authors: Timothy A. Davis

Source: ACM Transactions on Mathematical Software. 30:196-199

Subject Terms: Computational methods for sparse matrices, sparse LU factorization, 4. Education, UMFPACK, right-looking unsymmetric-pattern multifrontal numerical factorization, Packaged methods for numerical algorithms, column pre-ordering strategy, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, 01 natural sciences

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Access URL: https://dl.acm.org/doi/pdf/10.1145/992200.992206
https://dblp.uni-trier.de/db/journals/toms/toms30.html#Davis04a
https://dialnet.unirioja.es/servlet/articulo?codigo=1055971
https://doi.org/10.1145/992200.992206

An algorithm for Adomian decomposition method

Authors: Wenhai Chen Zhengyi Lu

Source: Applied Mathematics and Computation. 159:221-235

Subject Terms: nonlinear differential equations, 0209 industrial biotechnology, algorithm, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical solutions to equations with nonlinear operators, nonlinear operator equation, 02 engineering and technology, Symbolic computation and algebraic computation, Adomian polynomials, 01 natural sciences, symbolic computation, Iterative procedures involving nonlinear operators, Packaged methods for numerical algorithms, Adomian decomposition method, 0101 mathematics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/2128801
https://doi.org/10.1016/j.amc.2003.10.037
https://www.sciencedirect.com/science/article/abs/pii/S0096300303011135
https://dblp.uni-trier.de/db/journals/amc/amc159.html#ChenL04
https://www.sciencedirect.com/science/article/pii/S0096300303011135#!
https://dl.acm.org/doi/10.1016/j.amc.2003.10.037

Decomposition of Methods and Parallelization of Algorithms for Solving Aerodynamics and Physical Gas Dynamics Problems: Computer System Potok-3: Decomposition of methods and parallelization of algorithms for solving aerodynamics and physical gas dynamics problems: Computer system Potok-3

Authors: G. A. Tarnavskii S. I. Shpak

Source: Programming and Computer Software. 26:326-334

Subject Terms: concurrent programming, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Packaged methods for numerical algorithms, Gas dynamics (general theory), Basic methods in fluid mechanics, Parallel numerical computation, 02 engineering and technology, Parallel algorithms in computer science, Potok-3, General aerodynamics and subsonic flows, 01 natural sciences

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Access URL: https://dblp.uni-trier.de/db/journals/pcs/pcs26.html#TarnavskiiS00
https://link.springer.com/article/10.1023/A%3A1026656522839

An adaptive numerical cubature algorithm for simplices

Authors: Alan Genz Ronald Cools

Source: ACM Transactions on Mathematical Software. 29:297-308

Subject Terms: Complexity and performance of numerical algorithms, numerical cubature, subdivision, CUBPACK, Packaged methods for numerical algorithms, 0101 mathematics, Numerical quadrature and cubature formulas, 01 natural sciences

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/toms/toms29.html#GenzC03
https://doi.org/10.1145/838250.838254
https://dl.acm.org/doi/10.1145/838250.838254
https://core.ac.uk/display/34329974
https://dialnet.unirioja.es/servlet/articulo?codigo=2646242
https://dl.acm.org/citation.cfm?id=838254

Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method

Authors: José Luis Morales Jorge Nocedal

Source: ACM Transactions on Mathematical Software. 27:83-91

Subject Terms: Iterative numerical methods for linear systems, 4. Education, Numerical computation of matrix norms, conditioning, scaling, 0211 other engineering and technologies, Packaged methods for numerical algorithms, 02 engineering and technology, 0101 mathematics, 01 natural sciences

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Access URL: http://www.ece.northwestern.edu/~nocedal/PDFfiles/preqn.pdf
https://dl.acm.org/doi/10.1145/382043.382343
https://doi.acm.org/10.1145/382043.382343
https://dialnet.unirioja.es/servlet/articulo?codigo=2646279
https://dblp.uni-trier.de/db/journals/toms/toms27.html#MoralesN01
https://www.scholars.northwestern.edu/en/publications/algorithm-809-preqn-fortran-77-subroutines-for-preconditioning-th

C++ implementations of numerical methods for solving differential-algebraic equations: design and optimization considerations

Authors: Cass T. Miller Christopher E. Kees

Source: ACM Transactions on Mathematical Software. 25:377-403

Subject Terms: Numerical methods for differential-algebraic equations, numerical examples, languages, initial-value problems, design, object-oriented programming, test problems, algorithms, differential-algebraic equations, 01 natural sciences, experimentation, Complexity and performance of numerical algorithms, Fortran 77, comparison, Packaged methods for numerical algorithms, 0101 mathematics, C++, performance, Implicit ordinary differential equations, differential-algebraic equations, multistep method

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Access URL: https://dl.acm.org/doi/10.1145/332242.334001
https://doi.org/10.1145/332242.334001
https://dialnet.unirioja.es/servlet/articulo?codigo=2646249
https://dblp.uni-trier.de/db/journals/toms/toms25.html#KeesM99
https://dl.acm.org/citation.cfm?id=334001
http://portal.acm.org/citation.cfm?id=334001

Computational solution of the atomic mixing equations: special methods and algorithm of IMPETUS II: Computational solution of the atomic mixing equations: Special methods and algorithm of IMPETUS II

Authors: Stephen Martin Kirkup M. Wadsworth

Source: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields. 11:207-219

Subject Terms: Applications to the sciences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Packaged methods for numerical algorithms, particle emission, atomic mixing, Electromagnetic interaction, quantum electrodynamics, Fortran code, finite difference method, PDEs in connection with quantum mechanics

File Description: application/xml

Access URL: http://clok.uclan.ac.uk/13807/

High-performance numerical algorithms and software for structured total least squares

Authors: Markovsky, I. Van Huffel, S.

Source: Journal of Computational and Applied Mathematics. 180:311-331

Subject Terms: Numerical optimization and variational techniques, block-Hankel matrix, numerical examples, software package, 0209 industrial biotechnology, Numerical solutions to overdetermined systems, pseudoinverses, computational complexity, Applied Mathematics, Numerical linear algebra, Deconvolution, 02 engineering and technology, Structured total least squares, Computational Mathematics, block-Toeplitz matrix, Parameter estimation, 0202 electrical engineering, electronic engineering, information engineering, Software, source code, etc. for problems pertaining to linear algebra, Packaged methods for numerical algorithms, unstructured matrix, System identification

File Description: application/xml; text

Access URL: https://zbmath.org/2175281
https://doi.org/10.1016/j.cam.2004.11.003
https://www.sciencedirect.com/science/article/abs/pii/S0377042704005254
https://eprints.soton.ac.uk/263301/
https://core.ac.uk/display/34291822
https://eprints.soton.ac.uk/263301/1/stls_pack_published.pdf
https://dl.acm.org/doi/10.1016/j.cam.2004.11.003
http://ui.adsabs.harvard.edu/abs/2005JCoAM.180..311M/abstract
https://eprints.soton.ac.uk/263301/

Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method

Authors: Eric Barth Ralph Byers Peter Benner

Source: ACM Transactions on Mathematical Software. 26:49-77

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, 4. Education, Packaged methods for numerical algorithms, 0101 mathematics, Symbolic computation and algebraic computation, algorithms, documentation, 01 natural sciences, performance

File Description: application/xml

Access URL: https://dl.acm.org/doi/10.1145/347837.347852
https://dialnet.unirioja.es/servlet/articulo?codigo=2646311
http://pubman.mpdl.mpg.de/pubman/item/escidoc:2082557
https://doi.org/10.1145/347837.347852
https://dblp.uni-trier.de/db/journals/toms/toms26.html#BennerBB00
https://doi.acm.org/10.1145/347837.347852

Algorithm 791: TSHEP2D: cosine series Shepard method for bivariate interpolation of scattered data

Authors: Ron Brown Robert J. Renka

Source: ACM Transactions on Mathematical Software. 25:74-77

Subject Terms: Numerical interpolation, scattered data interpolation, 4. Education, Numerical smoothing, curve fitting, surface fitting, 0202 electrical engineering, electronic engineering, information engineering, Packaged methods for numerical algorithms, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Shepard method

File Description: application/xml

Access URL: https://zbmath.org/1532827
https://doi.org/10.1145/305658.305754
https://dblp.uni-trier.de/db/journals/toms/toms25.html#RenkaB99
https://dl.acm.org/doi/abs/10.1145/305658.305754
https://doi.org/10.1145/305658.305754

Algorithm 765: STENMIN—a software package for large, sparse unconstrained optimization using tensor methods: Algorithm 765: STENMIN: A software package for large, sparse unconstrained optimization using tensor methods

Authors: Ali Bouaricha

Source: ACM Transactions on Mathematical Software. 23:81-90

Subject Terms: Large-scale problems in mathematical programming, large, sparse optimization problems, Numerical mathematical programming methods, Nonlinear programming, 0211 other engineering and technologies, Packaged methods for numerical algorithms, unconstrained optimization, tensor method, 02 engineering and technology, 0101 mathematics, 01 natural sciences, rank-deficient matrices

File Description: application/xml

Access URL: https://doi.acm.org/10.1145/244768.244788
https://doi.org/10.1145/244768.244788
https://dblp.uni-trier.de/db/journals/toms/toms23.html#Bouaricha97
https://dl.acm.org/doi/10.1145/244768.244788

Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form

Authors: Yi-Feng Tsai Rida T. Farouki

Source: ACM Transactions on Mathematical Software. 27:267-296

Subject Terms: Computer-aided design (modeling of curves and surfaces), Computation of special functions and constants, construction of tables, Numerical aspects of computer graphics, image analysis, and computational geometry, 0202 electrical engineering, electronic engineering, information engineering, Computational aspects of field theory and polynomials, Packaged methods for numerical algorithms, 02 engineering and technology, 0101 mathematics, Real polynomials: analytic properties, etc, 01 natural sciences

File Description: application/xml

Algorithm 798: high-dimensional interpolation using the modified Shepard method

Authors: Michael W. Berry Karen S. Minser

Source: ACM Transactions on Mathematical Software. 25:353-366

Subject Terms: modified Shepard method, Multidimensional problems, 0211 other engineering and technologies, 02 engineering and technology, 15. Life on land, algorithms, C++ implementation, netCDF file format, 01 natural sciences, 12. Responsible consumption, Numerical interpolation, Packaged methods for numerical algorithms, measurement, 0101 mathematics, multivariate interpolation, Interpolation in approximation theory, performance

File Description: application/xml

Access URL: https://dl.acm.org/doi/10.1145/326147.326154
https://doi.acm.org/10.1145/326147.326154
https://dblp.uni-trier.de/db/journals/toms/toms25.html#BerryM99
https://dialnet.unirioja.es/servlet/articulo?codigo=2646258
https://doi.org/10.1145/326147.326154

Algorithm 768: TENSOLVE: a software package for solving systems of nonlinear equations and nonlinear least-squares problems using tensor methods

Authors: Ali Bouaricha Robert B. Schnabel

Source: ACM Transactions on Mathematical Software. 23:174-195

Subject Terms: software package, trust region approach, Numerical computation of solutions to systems of equations, 0211 other engineering and technologies, Packaged methods for numerical algorithms, quadratic model, 02 engineering and technology, systems of nonlinear equations, tensor methods, 0101 mathematics, line search approach, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1113651
https://doi.org/10.1145/264029.264032
https://dblp.uni-trier.de/db/journals/toms/toms23.html#BouarichaS97
https://doi.org/10.1145/264029.264032
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902136424520986
https://dl.acm.org/doi/10.1145/264029.264032

Numerical integration software for projection and projection-grid methods

Authors: V. V. Veretel'nik V. L. Rvachev A. N. Shevchenko

Source: Cybernetics and Systems Analysis. 30:154-158

Subject Terms: \(R\)-function method, numerical integration software, Boundary element methods for boundary value problems involving PDEs, projection-grid methods, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, quadrature formulas, Numerical quadrature and cubature formulas, 01 natural sciences, Approximate quadratures, Numerical differentiation, Boundary value problems for second-order elliptic equations, POLE system, boundary element methods, projection methods, 0202 electrical engineering, electronic engineering, information engineering, Packaged methods for numerical algorithms, finite element methods, numerical differentiation, 0101 mathematics

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF02366376
https://link.springer.com/content/pdf/10.1007/BF02366376.pdf