Výsledky vyhledávání - Computational methods for problems pertaining to operator theory*

Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions: Render unto numerics: orthogonal polynomial neural operator for PDEs with nonperiodic boundary conditions

Autoři: Ziyuan Liu Haifeng Wang Hong Zhang a další

Zdroj: SIAM Journal on Scientific Computing. 46:C323-C348

Témata: scientific machine learning, deep learning-based PDE solver, Computational methods for problems pertaining to operator theory, Computational learning theory, spectral method, Numerical Analysis (math.NA), neural operator, 01 natural sciences, Algorithms for approximation of functions, AI4science, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2206.12698
https://zbmath.org/7883828
https://doi.org/10.1137/23m1556320

Computer Assistance for 'Discovering' Formulas in System Engineering and Operator Theory: Computer assistance for ``discovering'' formulas in system engineering and operator theory

Autoři: Helton, J. W. Stankus, Mark

Zdroj: Journal of Functional Analysis. 161:289-363

Témata: Bart-Gohberg-Kaashoek-van Dooren theorem, 0209 industrial biotechnology, Operator-theoretic methods, Software, source code, etc. for problems pertaining to systems and control theory, algebraic theorems, 02 engineering and technology, 01 natural sciences, Software, source code, etc. for problems pertaining to operator theory, operator theory, non-commutative Gröbner basis algorithms, \(H^\infty\) control, 0101 mathematics, system engineering, computer assistance, matrix completion, Mathematics, Computational methods in systems theory, Analysis

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/1270850
https://doi.org/10.1006/jfan.1998.3249
http://www.ricam.oeaw.ac.at/Groebner-Bases-Bibliography/gbbib_files/publication_674.pdf
https://digitalcommons.calpoly.edu/math_fac/17/
https://www.sciencedirect.com/science/article/pii/S0022123698932499
https://works.bepress.com/mstankus/13/download/
https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1018&context=math_fac

Quantum Monte Carlo methods and general decomposition theory of exponential operators and symplectic integrators

Autoři: Masuo Suzuki

Zdroj: Physica A: Statistical Mechanics and its Applications. 205:65-79

Témata: 0103 physical sciences, Monte Carlo methods, Computational methods for problems pertaining to quantum theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/551580
https://doi.org/10.1016/0378-4371(94)90491-x
http://www.sciencedirect.com/science/article/pii/037843719490491X
https://econpapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:1:p:65-79
https://www.sciencedirect.com/science/article/pii/037843719490491X#!
https://www.sciencedirect.com/science/article/pii/037843719490491X
https://ideas.repec.org/a/eee/phsmap/v205y1994i1p65-79.html
https://ui.adsabs.harvard.edu/abs/1994PhyA..205...65S/abstract

The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/ dynamic applications: The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications

Autoři: Xiangmin Zhou Kumar K. Tamma Desong Sha

Zdroj: Archives of Computational Methods in Engineering. 7:67-290

Témata: Numerical and other methods in solid mechanics, Research exposition (monographs, survey articles) pertaining to numerical analysis, computational algorithms, 0211 other engineering and technologies, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, 0101 mathematics, 01 natural sciences, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids, time-discretized operators

Popis souboru: application/xml

Přístupová URL adresa: https://experts.umn.edu/en/publications/the-time-dimension-a-theory-towards-the-evolution-classification-
https://dialnet.unirioja.es/servlet/articulo?codigo=5274854
https://rd.springer.com/article/10.1007/BF02736209
https://link.springer.com/article/10.1007/BF02736209

Projection methods for discrete Schrödinger operators

Autoři: Lyonell Boulton

Zdroj: Proceedings of the London Mathematical Society. 88:526-544

Témata: Jacobi (tridiagonal) operators (matrices) and generalizations, 47B36, 47B39, 81-08, Linear difference operators, discrete Schrödinger operator, Computational methods for problems pertaining to quantum theory, 01 natural sciences, spectrum, Mathematics - Spectral Theory, FOS: Mathematics, 0101 mathematics, Spectral Theory (math.SP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0201227v2.pdf
http://arxiv.org/abs/math/0201227
https://documat.unirioja.es/servlet/articulo?codigo=2210733
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611503014448
https://researchportal.hw.ac.uk/en/publications/projection-methods-for-discrete-schrödinger-operators
https://academic.oup.com/plms/article/88/2/526/1524506
https://dialnet.unirioja.es/servlet/articulo?codigo=2210733
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024611503014448

Numerical methods for the QCDd overlap operator. I. Sign-function and error bounds: Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds

Autoři: H.A. van der Vorst J. van den Eshof K. Schilling a další

Zdroj: Computer Physics Communications. 146:203-224

Témata: Lanczos method, overlap fermions, High Energy Physics - Lattice (hep-lat), matrix sign function, FOS: Physical sciences, error bounds, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Quantum field theory on lattices, Strong interaction, including quantum chromodynamics, High Energy Physics - Lattice, partial fraction expansion, 0103 physical sciences, 0101 mathematics, lattice quantum chromodynamics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/hep-lat/0202025
http://arxiv.org/abs/hep-lat/0202025
https://zbmath.org/1794123
https://doi.org/10.1016/s0010-4655(02)00455-1
https://www.sciencedirect.com/science/article/abs/pii/S0010465502004551
http://ui.adsabs.harvard.edu/abs/2002CoPhC.146..203V/abstract
http://www.sciencedirect.com/science/article/pii/S0010465502004551
https://arxiv.org/pdf/hep-lat/0202025.pdf
https://arxiv.org/abs/hep-lat/0202025

On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

Autoři: Dimitri P. Bertsekas Jonathan Eckstein

Zdroj: Mathematical Programming. 55:293-318

Témata: Programming in abstract spaces, Convex programming, decomposition, Douglas-Rachford splitting method, 0211 other engineering and technologies, sum of two monotone operators, 02 engineering and technology, Variational inequalities, Numerical methods involving duality, proximal point algorithm, alternating direction method, Computational methods for problems pertaining to operations research and mathematical programming, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, Monotone operators and generalizations

Popis souboru: application/xml

Přístupová URL adresa: http://web.mit.edu/afs/athena.mit.edu/user/d/i/dimitrib/www/Eckstein_Bertsekas_D-R.pdf
https://zbmath.org/90811
https://doi.org/10.1007/bf01581204

Eigenvalues and eigenforms on Calabi–Yau threefolds: Eigenvalues and eigenforms on Calabi-Yau threefolds

Autoři: Anthony Ashmore HEP, INSPIRE

Přispěvatelé: Anthony Ashmore HEP, INSPIRE

Zdroj: Journal of Geometry and Physics

Témata: High Energy Physics - Theory, Mathematics - Differential Geometry, metric: Calabi-Yau, space: Calabi-Yau, eigenvalue problems on manifolds, FOS: Physical sciences, numerical metrics, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Calabi-Yau manifolds (algebro-geometric aspects), computational differential geometry, 01 natural sciences, Computational methods for problems pertaining to differential geometry, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Calabi-Yau manifolds, 0103 physical sciences, FOS: Mathematics, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], Spectral theory, Calabi-Yau theory (complex-analytic aspects), Laplace-de Rham operator, operator: Laplace

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2011.13929
https://zbmath.org/7783025
https://doi.org/10.1016/j.geomphys.2023.105028
https://hal.science/hal-03070624v1
https://doi.org/10.1016/j.geomphys.2023.105028

Genetic operators for the atomic cluster problem: Genetic operators for the atomic cluser problem

Autoři: Wayne Pullan

Zdroj: Computer Physics Communications. 107:137-148

Témata: molecular clusters, molecular conformation, atomic cluster problem, 0103 physical sciences, genetic algorithm, global optimisation, 02 engineering and technology, Molecular physics, 0210 nano-technology, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Atomic physics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1414005
https://doi.org/10.1016/s0010-4655(97)00092-1
https://www.sciencedirect.com/science/article/pii/S0010465597000921
https://ui.adsabs.harvard.edu/abs/1997CoPhC.107..137P/abstract

A method for computing compressible, highly stratified flows in astrophysics based on operator splitting

Autoři: A. Hujeirat Rolf Rannacher

Zdroj: International Journal for Numerical Methods in Fluids. 28:1-22

Témata: Reaction effects in flows, Computational methods for problems pertaining to astronomy and astrophysics, third-order upwinding, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, boundary layer, adaptive time step control, monotonic multilevel grid distribution, time-dependent Navier-Stokes equations, second-order finite volume scheme, second-order time discretization, hydrodynamical code, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, accretion disk

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1235103
https://doi.org/10.1002/(sici)1097-0363(19980715)28:1<1::aid-fld690>3.0.co;2-b
http://ui.adsabs.harvard.edu/abs/1998IJNMF..28....1H/abstract

An effective method to compute closure ordering for nilpotent orbits of θ-representations: An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations

Autoři: De Graaf, Willem Adriaan E. B. Vinberg O. S. Yakimova

Zdroj: Journal of Algebra. 371:38-62

Témata: Simple Lie algebras, Finite order automorphisms, Nilpotent orbits, Closure, Algebra and Number Theory, finite order automorphisms, Automorphisms, derivations, other operators for Lie algebras and super algebras, closure, 01 natural sciences, Mathematics - Algebraic Geometry, Coadjoint orbits, nilpotent varieties, simple Lie algebras, Computational methods for problems pertaining to nonassociative rings and algebras, nilpotent orbits, FOS: Mathematics, Representation Theory (math.RT), 0101 mathematics, Algebraic Geometry (math.AG), Mathematics - Representation Theory

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/1107.1864
https://zbmath.org/6166649
https://doi.org/10.1016/j.jalgebra.2012.07.040
https://www.sciencedirect.com/science/article/abs/pii/S0021869312003869
https://www.sciencedirect.com/science/article/pii/S0021869312003869
https://hdl.handle.net/11572/93692
https://www.sciencedirect.com/science/article/pii/S0021869312003869
https://doi.org/10.1016/j.jalgebra.2012.07.040

Accurate numerical bounds for the spectral points of singular Sturm–Liouville problems over 0

Autoři: Hasan Taşeli

Zdroj: Journal of Computational and Applied Mathematics. :707-722

Témata: Sturm-Liouville eigenvalue problems, Bessel functions of the first kind, Applied Mathematics, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), diatomic molecules, Schrödinger equation, semi-infinite positive real axis, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Sturm–Liouville eigenvalue problems, Atomic physics, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Computational Mathematics, harmonic oscillator, Dirichlet and Neumann boundary conditions, Eigenvalue enclosures, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spherical harmonics, Molecular physics, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.), truncated interval, Selfadjoint operator theory in quantum theory, including spectral analysis

Popis souboru: application/xml

Přístupová URL adresa: http://users.metu.edu.tr/taseli/CAM04.pdf
https://dlnext.acm.org/doi/10.1016/S0377-0427%2899%2900302-7
http://ui.adsabs.harvard.edu/abs/2004JCoAM.164..707T/abstract
https://www.sciencedirect.com/science/article/pii/S0377042703006460
https://dl.acm.org/doi/10.1016/S0377-0427%2803%2900646-0
https://dialnet.unirioja.es/servlet/articulo?codigo=800251

Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups: Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman-Kac semigroups

Autoři: Laurent Miclo Pierre Del Moral

Zdroj: ESAIM: Probability and Statistics. 7:171-208

Témata: Schrödinger operator, spectral radius, Stochastic approximation, Monte Carlo methods, Feynman-Kac formula, Computational methods for problems pertaining to quantum theory, 01 natural sciences, spectral decomposition, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Interacting particle systems in time-dependent statistical mechanics, 0101 mathematics, Lyapunov exponent, Selfadjoint operator theory in quantum theory, including spectral analysis, semigroups on Banach spaces

Popis souboru: application/xml

Přístupová URL adresa: https://www.esaim-ps.org/articles/ps/pdf/2003/01/ps104.pdf
https://zbmath.org/1932967
https://doi.org/10.1051/ps:2003001
https://www.cambridge.org/core/journals/esaim-probability-and-statistics/article/particle-approximations-of-lyapunov-exponents-connected-to-schrodinger-operators-and-feynmankac-semigroups/5A1B34F4BF89026F503BB52D43227391
http://perso.math.univ-toulouse.fr/miclo/files/2012/04/S1292810003000016a.pdf
https://www.esaim-ps.org/articles/ps/abs/2003/01/ps104/ps104.html
https://www.esaim-ps.org/articles/ps/pdf/2003/01/ps104.pdf
http://www.numdam.org/articles/10.1051/ps:2003001/
http://archive.numdam.org/article/PS_2003__7__171_0.pdf

Self-Similar Perturbation Theory: Self-similar perturbation theory

Autoři: Vyacheslav I. Yukalov E.P. Yukalova

Zdroj: Annals of Physics. 277:219-254

Témata: approximations, Condensed Matter (cond-mat), Perturbation theories for operators and differential equations in quantum theory, self-similar perturbation, FOS: Physical sciences, Condensed Matter, stability analysis, Computational methods for problems pertaining to quantum theory, 01 natural sciences, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), perturbative algorithm, 0103 physical sciences, method of multipliers

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/hep-ph/9911357
http://arxiv.org/abs/hep-ph/9911357
https://zbmath.org/1382923
https://doi.org/10.1006/aphy.1999.5953
https://www.arxiv-vanity.com/papers/hep-ph/9911357v1/
https://ui.adsabs.harvard.edu/abs/1999AnPhy.277..219Y/abstract
https://www.sciencedirect.com/science/article/pii/S0003491699959535
https://arxiv.org/pdf/hep-ph/9911357v1
https://arxiv.org/abs/hep-ph/9911357

Inversion of second-difference operators with application to infrared astronomy

Autoři: Mario Bertero Massimo Robberto Patrizia Boccacci

Zdroj: Inverse Problems. 19:1427-1443

Témata: Signal theory (characterization, reconstruction, filtering, etc.), non-negative least-squares solution, Numerical solutions to overdetermined systems, pseudoinverses, iterative algorithm, Computational methods for problems pertaining to astronomy and astrophysics, Image reconstruction, Infrared astronomy, image restoration, least-squares problem, 01 natural sciences, ill-conditioned, Dirichlet boundary conditionsl inversion formula, second-difference operator, Ill-posedness and regularization problems in numerical linear algebra, numerical stability, Radiative transfer in astronomy and astrophysics, Difference operators, inverse operator, 14. Life underwater, Numerical methods for functional equations, 0101 mathematics, astronomical imaging

Popis souboru: application/xml

Přístupová URL adresa: http://iopscience.iop.org/article/10.1088/0266-5611/19/6/011/pdf
http://ui.adsabs.harvard.edu/abs/2003InvPr..19.1427B/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/19/6/011/pdf
https://core.ac.uk/display/54750161
https://hdl.handle.net/11567/245495

A Multidomain Spectral Method for Scalar and Vectorial Poisson Equations with Noncompact Sources: A multidomain spectral method for scalar and vectorial Poisson equations with noncompact sources

Autoři: E. Gourgoulhon P. Grandclément Silvano Bonazzola a další

Zdroj: Journal of Computational Physics. 170:231-260

Témata: Error bounds for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, error bound, Astrophysics (astro-ph), elliptic equations, spherical harmonics, FOS: Physical sciences, spectral method, General Relativity and Quantum Cosmology (gr-qc), Computational Physics (physics.comp-ph), Astrophysics, 01 natural sciences, General Relativity and Quantum Cosmology, Poisson equations, 0103 physical sciences, Gibbs phenomenon, general relativity, Computational methods for problems pertaining to relativity and gravitational theory, Spectral, collocation and related methods for boundary value problems involving PDEs, Chebyshev polynomials, Physics - Computational Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/gr-qc/0003072
http://arxiv.org/abs/gr-qc/0003072
https://zbmath.org/1648829
https://doi.org/10.1006/jcph.2001.6734
https://arxiv.org/abs/gr-qc/0003072
https://arxiv.org/pdf/gr-qc/0003072.pdf
https://www.sciencedirect.com/science/article/pii/S0021999101967348

Single Level Multipole Expansions and Operators for Potentials of the Form $r^-\lambda$: Single level multipole expansions and operators for potentials of the form \(r^-\lambda\)

Autoři: Indranil Chowdhury Vikram Jandhyala

Zdroj: SIAM Journal on Scientific Computing. 26:930-943

Témata: fast multipole method, 02 engineering and technology, Computational methods for problems pertaining to mechanics of particles and systems, van der Waals force, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, \(n\)-body problems, Potentials and capacities, extremal length and related notions in higher dimensions, Probabilistic models, generic numerical methods in probability and statistics, Software, source code, etc. for problems pertaining to potential theory, Gegenbauer polynomials, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Discrete potential theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2138776
https://doi.org/10.1137/030602241
https://dblp.uni-trier.de/db/journals/siamsc/siamsc26.html#ChowdhuryJ05
https://locus.siam.org/doi/abs/10.1137/030602241
https://epubs.siam.org/doi/abs/10.1137/030602241

A family of multiderivative methods for the numerical solution of the Schr�dinger equation: A family of multiderivative methods for the numerical solution of the Schrödinger equation

Autoři: T. E. Simos Damianos P. Sakas

Zdroj: Journal of Mathematical Chemistry. 37:317-332

Témata: Dispersion theory, dispersion relations arising in quantum theory, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, dispersion, phase-lag, stability, 0101 mathematics, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Selfadjoint operator theory in quantum theory, including spectral analysis, methods

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2192641
https://doi.org/10.1007/s10910-004-1472-6
https://link.springer.com/content/pdf/10.1007/s10910-004-1472-6.pdf
https://link.springer.com/article/10.1007%2Fs10910-004-1472-6

Quasilinearization method and its verification on exactly solvable models in quantum mechanics

Autoři: V. B. Mandelzweig

Zdroj: Journal of Mathematical Physics. 40:6266-6291

Témata: nonlinear differential equations, method to scattering length, Perturbation theories for operators and differential equations in quantum theory, linear programming, variable phase method, Nonlinear ordinary differential equations and systems, uniform and quadratic convergence, Computational methods for problems pertaining to quantum theory, 01 natural sciences, infinite domains, infinite values of the coupling constant, Bellman and Kalaba, singular functionals, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, super singular potentials, perturbation theory

Popis souboru: application/xml

Přístupová URL adresa: https://aip.scitation.org/doi/abs/10.1063/1.533092
https://ui.adsabs.harvard.edu/abs/1999JMP....40.6266M/abstract
https://scitation.aip.org/content/aip/journal/jmp/40/12/10.1063/1.533092

Helmholtz equation in parabolic rotational coordinates: application to wave problems in quantum mechanics and acoustics: Helmholtz equation in parabolic rotational coordinates: Application to wave problems in quantum mechanics and acoustics

Autoři: L. C. Lew Yan Voon Morten Willatzen

Zdroj: Mathematics and Computers in Simulation. 65:337-349

Témata: numerical examples, Spectral methods applied to problems in fluid mechanics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Quantum dots, Hydro- and aero-acoustics, Acoustic cavities, spectral method, eigenfunctions, Frobenius power series expansion, Computational methods for problems pertaining to quantum theory, 01 natural sciences, 0103 physical sciences, Parabolic rotational coordinates, Spectral, collocation and related methods for boundary value problems involving PDEs, Helmholtz equation, PDEs in connection with quantum mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://ideas.repec.org/a/eee/matcom/v65y2004i4p337-349.html
https://www.sciencedirect.com/science/article/pii/S0378475404000217
https://dblp.uni-trier.de/db/journals/mcs/mcs65.html#VoonW04
http://www.sciencedirect.com/science/article/pii/S0378475404000217
https://econpapers.repec.org/RePEc:eee:matcom:v:65:y:2004:i:4:p:337-349