The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity: The boundary mapped collocation method for heat conduction problems with heat generation spatially varying conductivity

Authors: Huang, Zhentian, Lei, Dong, Han, Zi, Xie, Heping, Zhu, Jianbo

Source: Advances in Applied Mathematics and Mechanics. 17:240-262

Subject Terms: boundary mapped collocation method, Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer, Software, source code, etc. for problems pertaining to computer science, heat generation, heat conduction, meshless method, Software, source code, etc. for problems pertaining to numerical analysis, spatially varying conductivity

File Description: application/xml

Access URL: https://zbmath.org/7976958
https://doi.org/10.4208/aamm.oa-2022-0250

Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code: Numerical solution of FDE-IVPs by using fractional HBVMs: the \texttt{fhbvm} code

Authors: Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

Contributors: Brugnano, L., Gurioli, G., Iavernaro, F.

Source: Numerical Algorithms. 99:463-489

Subject Terms: FHBVM, FHBVMs, 65R20, fractional integrals, fractional differential equations, 34A08, Fractional ordinary differential equations, Numerical Analysis (math.NA), fractional Hamiltonian boundary value methods, Numerical methods for Hamiltonian systems including symplectic integrators, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, Fractional differential equation, Caputo derivative, Fractional derivatives and integrals, Fractional hamiltonian boundary value method, 65-04, Fractional differential equations, Fractional integrals, Jacobi polynomials, Fractional hamiltonian boundary value methods, FOS: Mathematics, Mathematics - Numerical Analysis, 34A08, 65R20, 65-04, 0101 mathematics, Fractional integral

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2403.04916
https://zbmath.org/8032138
https://doi.org/10.1007/s11075-024-01884-y
https://hdl.handle.net/2158/1371523
https://link.springer.com/article/10.1007/s11075-024-01884-y?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=oa_20240716&utm_content=10.1007/s11075-024-01884-y
https://doi.org/10.1007/s11075-024-01884-y

NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators: NeuralUQ: a comprehensive library for uncertainty quantification in neural differential equations and operators

Authors: Zongren Zou, Xuhui Meng, Apostolos F. Psaros, George E. Karniadakis

Source: SIAM Review. 66:161-190

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, scientific machine learning, uncertainty quantification, Python library, Numerical methods for partial differential equations, boundary value problems, PINNs, deep learning, FOS: Physical sciences, Computational Physics (physics.comp-ph), Software, source code, etc. for problems pertaining to numerical analysis, Machine Learning (cs.LG), Numerical methods for ordinary differential equations, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, DeepONet, Physics - Computational Physics, Artificial neural networks and deep learning

File Description: application/xml

Access URL: http://arxiv.org/abs/2208.11866

Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms

Authors: Kim, Jaewoong, Yoon, Jasang

Source: Communications in Nonlinear Science and Numerical Simulation. 147:108818

Subject Terms: Functional calculus for linear operators, Invariant subspaces of linear operators, linear pencil, Operators on Hilbert spaces (general), Several-variable operator theory (spectral, Fredholm, etc.), Aluthge transforms, hyperinvariant subspaces, Operator matrices, Spectrum, resolvent, invariant subspaces, Software, source code, etc. for problems pertaining to numerical analysis

File Description: application/xml

Access URL: https://zbmath.org/8035183
https://doi.org/10.1016/j.cnsns.2025.108818

MFEM: A modular finite element methods library: MFEM: a modular finite element methods library

Authors: Robert Anderson, Julian Andrej, Andrew Barker, Jamie Bramwell, Jean-Sylvain Camier, Jakub Cerveny, Veselin Dobrev, Yohann Dudouit, Aaron Fisher, Tzanio Kolev, Will Pazner, Mark Stowell, Vladimir Tomov, Ido Akkerman, Johann Dahm, David Medina, Stefano Zampini

Contributors: Extreme Computing Research Center, Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, Lawrence Livermore National Laboratory, Livermore, USA, Delft University of Technology, Netherlands, Vulcan Inc., Seattle, USA, Occalytics LLC, New York, USA

Source: Computers & Mathematics with Applications. 81:42-74

Subject Terms: Finite element methods, FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, finite element methods, numerical PDEs, Mathematics - Numerical Analysis, 0101 mathematics, High-performance computing, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Open-source scientific software, matrix-free algorithms, high-performance computing, Parallel numerical computation, Numerical Analysis (math.NA), Software, source code, etc. for problems pertaining to numerical analysis, Matrix-free algorithms, high-order methods, Computer Science - Mathematical Software, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, open-source scientific software, Numerical PDEs, Mathematical Software (cs.MS), Finite element methods applied to problems in fluid mechanics

File Description: application/xml; application/pdf

Access URL: https://www.sciencedirect.com/science/article/am/pii/S0898122120302583
http://arxiv.org/abs/1911.09220
https://zbmath.org/7288706
https://doi.org/10.1016/j.camwa.2020.06.009
https://ui.adsabs.harvard.edu/abs/2019arXiv191109220A/abstract
https://repository.tudelft.nl/islandora/object/uuid%3A553103d4-1337-44a3-9638-47ff85dbd5d1
http://export.arxiv.org/pdf/1911.09220
http://doi.org/10.1016/j.camwa.2020.06.009
https://dblp.uni-trier.de/db/journals/corr/corr1911.html#abs-1911-09220
https://arxiv.org/abs/1911.09220
http://resolver.tudelft.nl/uuid:553103d4-1337-44a3-9638-47ff85dbd5d1

GPU implementation of lattice Boltzmann method for flows with curved boundaries

Authors: Kefa Cen, Hao Zhou, Guiyuan Mo, Miao Rui, Jiapei Zhao, Feng Wu

Source: Computer Methods in Applied Mechanics and Engineering. :65-73

Subject Terms: curved boundaries, lattice Boltzmann method, Software, source code, etc. for problems pertaining to fluid mechanics, 0103 physical sciences, GPU, Particle methods and lattice-gas methods, CUDA, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0045782512000874
http://ui.adsabs.harvard.edu/abs/2012CMAME.225...65Z/abstract

Using semiclassical trajectories for the time-evolution of interacting quantum-mechanical systems

Authors: Dean E. Dauger, V. K. Decyk, John M. Dawson

Source: Journal of Computational Physics. 209:559-581

Subject Terms: Path integral, Feynman, Semiclassical, Path integrals in quantum mechanics, Plasma PIC, Parallel computation, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Computational methods for problems pertaining to quantum theory, 01 natural sciences, 0103 physical sciences, Lagrangian, Grid method, Particle-based, WKB, Feynman integrals and graphs, applications of algebraic topology and algebraic geometry, Stochastic particle methods, Simulation of dynamical systems, Interacting, Software, source code, etc. for problems pertaining to numerical analysis, Time evolving, Quantum particle-in-cell, Applications to the sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Numerical problems in dynamical systems, Parallel algorithms in computer science, Simulation, Stationary phase

File Description: application/xml

Access URL: https://zbmath.org/2191913
https://doi.org/10.1016/j.jcp.2005.03.028
http://ui.adsabs.harvard.edu/abs/2005JCoPh.209..559D/abstract
https://www.sciencedirect.com/science/article/pii/S0021999105001877
https://dl.acm.org/doi/10.1016/j.jcp.2005.03.028
http://www.osti.gov/scitech/biblio/20687261-using-semiclassical-trajectories-time-evolution-interacting-quantum-mechanical-systems

Parallel Finite Element Software Development and Performance Analysis in an Object-Oriented Programming Framework: Parallel finite element software development and performance analysis in an object-oriented programming framework

Authors: Dale R. Shires, Brian J. Henz

Source: Journal of Mathematical Modelling and Algorithms. 4:17-34

Subject Terms: resin transfer molding, Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.), parallel processing, finite element method, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, object-oriented programming, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 02 engineering and technology, Software, source code, etc. for problems pertaining to numerical analysis

File Description: application/xml

Access URL: https://zbmath.org/2176459
https://doi.org/10.1007/s10852-004-3520-4
https://dblp.uni-trier.de/db/journals/jmma/jmma4.html#HenzS05
https://link.springer.com/article/10.1007/s10852-004-3520-4
https://link.springer.com/content/pdf/10.1007/s10852-004-3520-4.pdf

Simulations of the Whirling Instability by the Immersed Boundary Method: Simulations of the whirling instability by the immersed boundary method

Authors: Charles S. Peskin, Sookkyung Lim

Source: SIAM Journal on Scientific Computing. 25:2066-2083

Subject Terms: whirling, immersed boundary method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, Software, source code, etc. for problems pertaining to numerical analysis, overwhirling, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, twirling

File Description: application/xml

Access URL: http://www.math.nyu.edu/faculty/peskin/papers/lim_siam41747.pdf
https://zbmath.org/2138725
https://doi.org/10.1137/s1064827502417477
https://epubs.siam.org/doi/abs/10.1137/S1064827502417477
https://math.cims.nyu.edu/faculty/peskin/papers/lim_siam41747.pdf
https://nyuscholars.nyu.edu/en/publications/simulations-of-the-whirling-instability-by-the-immersed-boundary-
http://math.cims.nyu.edu/faculty/peskin/papers/lim_siam41747.pdf
http://www.math.nyu.edu/faculty/peskin/papers/lim_siam41747.pdf
https://dblp.uni-trier.de/db/journals/siamsc/siamsc25.html#LimP04

Use of shallow class hierarchies to facilitate object-oriented nonlinear structural simulations: Use of shallow class hierarchies to facilitate object-oriented nonlinear structural simulations.

Authors: V. D. Balopoulos, John F. Abel

Source: Finite Elements in Analysis and Design. 38:1047-1074

Subject Terms: shallow class hierarchies, Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.), nonlinear structural analysis, co-operating fine-grained objects, 0211 other engineering and technologies, object-oriented programming, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Software, source code, etc. for problems pertaining to numerical analysis, 0201 civil engineering

File Description: application/xml

Access URL: https://zbmath.org/1774125
https://doi.org/10.1016/s0168-874x(02)00051-3
http://www.sciencedirect.com/science/article/pii/S0168874X02000513
https://www.sciencedirect.com/science/article/pii/S0168874X02000513

EULAIR: a novel finite–element–based Cartesian grid Euler flow solver that does not require cut–cell geometric information at solid boundaries: \texttt{EULAIR}: a novel finite-element-based Cartesian grid Euler flow solver that does not require cut-cell geometric information at solid boundaries

Authors: Chittur S. Venkatasubban

Source: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 458:1825-1844

Subject Terms: Cartesian grid, 0203 mechanical engineering, 0211 other engineering and technologies, computational fluid dynamics, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Euler equations, Software, source code, etc. for problems pertaining to numerical analysis, compressible flow, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/2149050
https://doi.org/10.1098/rspa.2001.0944
https://ui.adsabs.harvard.edu/abs/2002RSPSA.458.1825V/abstract
https://rspa.royalsocietypublishing.org/content/458/2024/1825
https://royalsocietypublishing.org/doi/10.1098/rspa.2001.0944

Parallel Implementation of Stability Analysis of Difference Schemes with MATHEMATICA: Parallel implementation of stability analysis of difference schemes with \textit{MATHEMATICA}.

Authors: Victor Ganzha, Evgenij Vorozhtsov

Source: Journal of Mathematical Sciences. 108:1070-1088

Subject Terms: 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Parallel numerical computation, 02 engineering and technology, Software, source code, etc. for problems pertaining to numerical analysis, Finite difference methods applied to problems in fluid mechanics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1726681
https://doi.org/10.1023/a:1013500723898
https://mediatum.ub.tum.de/1460049
https://link.springer.com/article/10.1023/A%3A1013500723898

parallel implementation of stability analysis of difference schemes with mathematica: Parallel implementation of stability analysis of difference schemes with \textit{MATHEMATICA}.

Authors: Victor Ganzha, Evgenij Vorozhtsov

Source: Journal of Mathematical Sciences. 258(4):231-255

Subject Terms: Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Parallel numerical computation, Software, source code, etc. for problems pertaining to numerical analysis, Finite difference methods applied to problems in fluid mechanics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1726681
https://doi.org/10.1023/a:1013500723898
https://mediatum.ub.tum.de/1460049
https://link.springer.com/article/10.1023/A%3A1013500723898

Matlab code for sorting real Schur forms: Matlab code for sorting real Schur forms.

Authors: Brandts, J.H.

Source: Numerical Linear Algebra with Applications. 9:249-261

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, real Schur form, Invariant subspaces of linear operators, Wiskunde en computerwetenschappen, Other matrix algorithms, swapping, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, Landbouwwetenschappen, invariant subspace, Wiskunde: algemeen, eigenvalue, 0101 mathematics, Wiskunde en Informatica, Mathematics, sorting, Matlab

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2206695
https://doi.org/10.1002/nla.274
https://research-portal.uu.nl/en/publications/f5195d96-b807-4f80-93e6-006d0595849f
https://dspace.library.uu.nl/handle/1874/3209

Software review: 'Decision Lab 2000': Software review: Decision Lab 2000

Authors: Geldermann, Jutta, Zhang, Kejing

Source: Journal of Multi-Criteria Decision Analysis. 10:317-323

Subject Terms: Management decision making, including multiple objectives, multi-criteria analysis, Computational methods for problems pertaining to operations research and mathematical programming, 0211 other engineering and technologies, 02 engineering and technology, Wirtschaftswissenschaften, decision support software, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mcda.311

Multiple-Rank Modifications of a Sparse Cholesky Factorization: Multiple-rank modifications of a sparse Cholesky factorization

Authors: Davis, Timothy A., Hager, William W.

Source: SIAM Journal on Matrix Analysis and Applications. 22:997-1013

Subject Terms: sparse matrices, 4. Education, matrix updates, 02 engineering and technology, Direct numerical methods for linear systems and matrix inversion, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, mathematical software, direct methods, Computational methods for sparse matrices, numerical linear algebra, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Cholesky factorization

File Description: application/xml

Access URL: http://faculty.cse.tamu.edu/davis/publications_files/MultipleRank_Modifications_of_a_Sparse_Cholesky_Factorization.pdf
https://zbmath.org/1578926
https://doi.org/10.1137/s0895479899357346
https://epubs.siam.org/doi/abs/10.1137/S0895479899357346
http://faculty.cse.tamu.edu/davis/publications_files/MultipleRank_Modifications_of_a_Sparse_Cholesky_Factorization.pdf
https://dblp.uni-trier.de/db/journals/siammax/siammax22.html#DavisH01
https://dialnet.unirioja.es/servlet/articulo?codigo=2848080
https://locus.siam.org/doi/abs/10.1137/S0895479899357346
https://dl.acm.org/doi/10.1137/S0895479899357346

Algorithm 807: The SBR Toolbox—software for successive band reduction

Authors: Bruno Lang, Christian Bischof, Xiaobai Sun

Source: ACM Transactions on Mathematical Software. 26:602-616

Subject Terms: Computational methods for sparse matrices, Complexity and performance of numerical algorithms, 4. Education, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, algorithms, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, Orthogonalization in numerical linear algebra, performance

File Description: application/xml

Access URL: https://zbmath.org/1935037
https://doi.org/10.1145/365723.365736
https://dialnet.unirioja.es/servlet/articulo?codigo=2646265
https://core.ac.uk/display/36502125
https://dl.acm.org/doi/10.1145/365723.365736
https://dblp.uni-trier.de/db/journals/toms/toms26.html#BischofLS00a
https://dl.acm.org/doi/pdf/10.1145/365723.365736
https://dl.acm.org/citation.cfm?id=365736

PSBLAS: a library for parallel linear algebra computation on sparse matrices

Authors: S. FILIPPONE, COLAJANNI, Michele

Source: ACM Transactions on Mathematical Software. 26:527-550

Subject Terms: Computational methods for sparse matrices, design, 0202 electrical engineering, electronic engineering, information engineering, Packaged methods for numerical algorithms, Algorithms, Basic linear algebra subphrases, Parallel numerical computation, 02 engineering and technology, 0101 mathematics, algorithms, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1935033
https://doi.org/10.1145/365723.365732
https://iris.unimore.it/handle/11380/304570
https://dl.acm.org/citation.cfm?id=365732
https://dblp.uni-trier.de/db/journals/toms/toms26.html#FilipponeC00
https://dl.acm.org/doi/10.1145/365723.365732
https://dialnet.unirioja.es/servlet/articulo?codigo=2646290
https://core.ac.uk/display/53961591

A simple method for generating gamma variables: A simple method for generating gamma variables.

Authors: Tsang, WW, Marsaglia, G

Source: ACM Transactions on Mathematical Software. 26:363-372

Subject Terms: Other computational problems in probability, Gamma distribution, Ziggurat method, Performance, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Random number generation, 0101 mathematics, algorithms, Software, source code, etc. for problems pertaining to numerical analysis, 01 natural sciences, Algorithms, performance

File Description: application/xml

Access URL: https://dl.acm.org/doi/10.1145/358407.358414
https://doi.acm.org/10.1145/358407.358414
https://dl.acm.org/citation.cfm?id=358414
https://dblp.uni-trier.de/db/journals/toms/toms26.html#MarsagliaT00
http://portal.acm.org/citation.cfm?doid=358407.358414
https://core.ac.uk/display/37917282
http://hdl.handle.net/10722/89056

Automatic Computation of Zeros of Bessel Functions and Other Special Functions: Automatic computation of zeros of Bessel functions and other special functions

Authors: James S. Ball

Source: SIAM Journal on Scientific Computing. 21:1458-1464

Subject Terms: Bessel functions, zeros, Other wave functions, Bessel and Airy functions, cylinder functions, \({}_0F_1\), 0101 mathematics, Software, source code, etc. for problems pertaining to numerical analysis, Coulomb wave functions, 01 natural sciences

File Description: application/xml

Access URL: https://epubs.siam.org/doi/abs/10.1137/S1064827598339074
https://dblp.uni-trier.de/db/journals/siamsc/siamsc21.html#Ball99
https://locus.siam.org/doi/abs/10.1137/S1064827598339074