A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates: A boundary mapped collocation method for the analysis of the arbitrarily shaped plates

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

Πηγή: Advances in Applied Mathematics and Mechanics. 17:350-372

Θεματικοί όροι: moving least squares, Software, source code, etc. for problems pertaining to partial differential equations, Boundary value problems for higher-order elliptic equations, boundary mapped collocation method, Software, source code, etc. for problems pertaining to computer science, meshless method, Spectral, collocation and related methods for boundary value problems involving PDEs, Kirchhoff plate

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7976962
https://doi.org/10.4208/aamm.oa-2022-0166

PELLPACK: A Problem Solving Environment for PDE Based Applications on Multicomputer Platforms: a problem-solving environment for PDE-based applications on multicomputer platforms

Συγγραφείς: Ann Christine Catlin, Elias N. Houstis, Margaret Gaitatzes, P. N. Papachiou, John R. Rice, Sanjiva Weerawarana, K.-Y. Wang

Πηγή: Enabling Technologies for Computational Science ISBN: 9781461370499

Θεματικοί όροι: software architecture, Software, source code, etc. for problems pertaining to partial differential equations, Applications to the sciences, Numerical methods for partial differential equations, boundary value problems, PELLPACK, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, 01 natural sciences, Computer aspects of numerical algorithms, mesh partitioning, visualization

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2323&context=cstech
https://dl.acm.org/doi/10.1145/285861.285864
https://link.springer.com/chapter/10.1007/978-1-4615-4541-5_14
https://core.ac.uk/display/20804250
https://docs.lib.purdue.edu/cstech/1324/
https://dblp.uni-trier.de/db/journals/toms/toms24.html#HoustisRWCPWG98

Application of the finite element method in self-consistent relativistic mean field calculations

Συγγραφείς: W. Pöschl, Peter Ring, Dario Vretenar

Συνεισφορές: Bertulani,CA, Canto,LF, Hussein,MS

Πηγή: Computer Physics Communications. 99:128-148

Θεματικοί όροι: Numerical computation of eigenvalues and eigenvectors of matrices, bisection method, Klein-Gordon equations, Software, source code, etc. for problems pertaining to partial differential equations, algebraic eigenvalue problem, finite element method, relativistic mean field theory, Methods of quantum field theory in general relativity and gravitational theory, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, one-dimensional slab of nuclear matter, coupled system of Dirac and Klein-Gordon equations, C++ code, 01 natural sciences, classes, Software, source code, etc. for problems pertaining to quantum theory, nuclear matter, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Dirac equation, PDEs in connection with quantum mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.bib.irb.hr/10618
https://www.bib.irb.hr/70636
https://zbmath.org/1308862
https://doi.org/10.1016/s0010-4655(96)00100-2
https://inis.iaea.org/search/search.aspx?orig_q=RN:30011752
https://www.sciencedirect.com/science/article/abs/pii/S0010465596001002
https://elsevier.digitalcommonsdata.com/datasets/29jzn8xvk3/1
https://data.mendeley.com/datasets/29jzn8xvk3
https://ui.adsabs.harvard.edu/abs/1996CoPhC..99..128P/abstract

Symbolic software for soliton theory

Συγγραφείς: W. Zhuang, Willy Hereman

Πηγή: KdV ’95 ISBN: 9789401040112

Θεματικοί όροι: Painlevé integrability test, Soliton equations, Software, source code, etc. for problems pertaining to partial differential equations, conserved densities, 4. Education, Symbolic computation and algebraic computation, 01 natural sciences, Solutions to PDEs in closed form, symbolic programs, KdV equations (Korteweg-de Vries equations), 0103 physical sciences, Hirota's bilinear method, Lie symmetries, Software, source code, etc. for problems pertaining to ordinary differential equations, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://rd.springer.com/chapter/10.1007/978-94-011-0017-5_20
https://core.ac.uk/display/21756556
https://link.springer.com/article/10.1007/BF00994643
https://inside.mines.edu/~whereman/papers/Hereman-Zhuang-PROC-KDV95-1995.pdf

The extended Jacobi elliptic function method to solve a generalized Hirota–Satsuma coupled KdV equations: The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations

Συγγραφείς: Qi Wang, Yaxuan Yu, Hong-qing Zhang

Πηγή: Chaos, Solitons & Fractals. 26:1415-1421

Θεματικοί όροι: Jacobi elliptic function, KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, solitary wave, 01 natural sciences, symbolic computation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189747
https://doi.org/10.1016/j.chaos.2005.04.011
https://ideas.repec.org/a/eee/chsofr/v26y2005i5p1415-1421.html
http://www.sciencedirect.com/science/article/pii/S0960077905003012
https://www.sciencedirect.com/science/article/pii/S0960077905003012

Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations

Συγγραφείς: Xiaohong Chen, Deng-yuan Chen, Tiecheng Xia

Πηγή: Chaos, Solitons & Fractals. 26:889-896

Θεματικοί όροι: Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Software, source code, etc. for problems pertaining to partial differential equations, NLS equations (nonlinear Schrödinger equations), 0103 physical sciences, 01 natural sciences, symbolic computation, new soliton-like solutions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2194530
https://doi.org/10.1016/j.chaos.2005.01.030
https://www.sciencedirect.com/science/article/pii/S0960077905001311#!
https://ideas.repec.org/a/eee/chsofr/v26y2005i3p889-896.html
https://ui.adsabs.harvard.edu/abs/2005CSF....26..889X/abstract
https://www.sciencedirect.com/science/article/pii/S0960077905001311
http://www.sciencedirect.com/science/article/pii/S0960077905001311

New exact travelling wave solutions for some nonlinear evolution equations

Συγγραφείς: Huiqun Zhang

Πηγή: Chaos, Solitons & Fractals. 26:921-925

Θεματικοί όροι: KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://ui.adsabs.harvard.edu/abs/2005CSF....26..921Z/abstract
https://www.sciencedirect.com/science/article/pii/S0960077905001414
https://ideas.repec.org/a/eee/chsofr/v26y2005i3p921-925.html

New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method: New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method

Συγγραφείς: Zhenya Yan, Yong Chen

Πηγή: Chaos, Solitons & Fractals. 26:399-406

Θεματικοί όροι: KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, solitary wave solutions, 01 natural sciences, Solutions to PDEs in closed form, symbolic computation, doubly periodic solutions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ui.adsabs.harvard.edu/abs/2005CSF....26..399C/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0960077905000755
https://ideas.repec.org/a/eee/chsofr/v26y2005i2p399-406.html

New Weierstrass elliptic function solutions of the N-coupled nonlinear Klein–Gordon equations: New Weierstrass elliptic function solutions of the \(N\)-coupled nonlinear Klein-Gordon equations

Συγγραφείς: Zhenya Yan, Yong Chen

Πηγή: Chaos, Solitons & Fractals. 26:393-398

Θεματικοί όροι: Weierstrass elliptic function, Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Jacobi elliptic function solutions, 01 natural sciences, symbolic computation, PDEs in connection with quantum mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ideas.repec.org/a/eee/chsofr/v26y2005i2p393-398.html
https://www.sciencedirect.com/science/article/pii/S0960077905000743
http://ui.adsabs.harvard.edu/abs/2005CSF....26..393C/abstract

Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I: Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I

Συγγραφείς: Takayuki Tsuchida, Thomas Wolf

Πηγή: Journal of Physics A: Mathematical and General. 38:7691-7733

Θεματικοί όροι: lists of second-order systems, Soliton equations, Software, source code, etc. for problems pertaining to partial differential equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Lax representation, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), weighting of variables, FOS: Physical sciences, classification of integrable systems, Mathematical Physics (math-ph), 01 natural sciences, KdV equations (Korteweg-de Vries equations), 0103 physical sciences, higher symmetries, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Mathematical Physics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/nlin/0412003
http://arxiv.org/abs/nlin/0412003
https://zbmath.org/2212335
https://doi.org/10.1088/0305-4470/38/35/006
https://arxiv.org/pdf/nlin/0412003.pdf
https://arxiv.org/abs/nlin/0412003
https://ui.adsabs.harvard.edu/abs/2005JPhA...38.7691T/abstract
http://lie.math.brocku.ca/twolf/papers/tsuchi_final.pdf
http://iopscience.iop.org/article/10.1088/0305-4470/38/35/006/meta

Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements: Algorithm 840: Computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions -- prolate elements

Συγγραφείς: John P. Boyd

Πηγή: ACM Transactions on Mathematical Software. 31:149-165

Θεματικοί όροι: Multigrid methods, domain decomposition for boundary value problems involving PDEs, Software, source code, etc. for problems pertaining to partial differential equations, Spectral, collocation and related methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dl.acm.org/doi/10.1145/1055531.1055538
https://dialnet.unirioja.es/servlet/articulo?codigo=1145346
https://dblp.uni-trier.de/db/journals/toms/toms31.html#Boyd05
https://doi.acm.org/10.1145/1055531.1055538

Transmission, Reflection, and Second-Harmonic Generation in a Nonlinear Waveguide: Transmission, reflection, and second-harmonic generation in a nonlinear waveguide

Συγγραφείς: Grant Lythe, Roberto Camassa, Alp T. Findikoglu

Πηγή: SIAM Journal on Applied Mathematics. 66:1-28

Θεματικοί όροι: transmission and reflection, tunable nonlinearity, noise, numerical solution, Software, source code, etc. for problems pertaining to partial differential equations, finite length nonlinear medium, 02 engineering and technology, Antennas, waveguides in optics and electromagnetic theory, Experimental work for problems pertaining to optics and electromagnetic theory, 01 natural sciences, differential capacitance, 0103 physical sciences, second harmonic, method of characteristics, 0210 nano-technology, Finite difference methods applied to problems in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory, boundaries, Second-order nonlinear hyperbolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://cdr.lib.unc.edu/downloads/qb98mq80t
https://zbmath.org/2220470
https://doi.org/10.1137/040615183

Algorithm 839: FIAT, a new paradigm for computing finite element basis functions

Συγγραφείς: Robert C. Kirby

Πηγή: ACM Transactions on Mathematical Software. 30:502-516

Θεματικοί όροι: Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.), Software, source code, etc. for problems pertaining to partial differential equations, Packaged methods for numerical algorithms, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2187998
https://doi.org/10.1145/1039813.1039820
https://sites.baylor.edu/robert_kirby/files/2015/01/fiat-toms-2004-1xo44jy.pdf
https://dblp.uni-trier.de/db/journals/toms/toms30.html#Kirby04
https://dialnet.unirioja.es/servlet/articulo?codigo=1094292
https://dl.acm.org/doi/10.1145/1039813.1039820
https://doi.org/10.1145/1039813.1039820

BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs

Συγγραφείς: Rong Wang, Paul H. Muir, Patrick Keast

Πηγή: ACM Transactions on Mathematical Software. 30:454-470

Θεματικοί όροι: Error bounds for initial value and initial-boundary value problems involving PDEs, Software, source code, etc. for problems pertaining to partial differential equations, 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, Initial value problems for second-order parabolic equations, 0101 mathematics, 01 natural sciences, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dialnet.unirioja.es/servlet/articulo?codigo=1094289
https://dl.acm.org/doi/10.1145/1039813.1039817
http://www.mscs.dal.ca/~keast/research/toms.pdf
http://www.mathstat.dal.ca/~keast/research/toms.pdf
https://dblp.uni-trier.de/db/journals/toms/toms30.html#WangKM04

An Implementation for the Algorithm of Janet bases of Linear Differential Ideals in the Maple System: An implementation for the algorithm of Janet bases of linear differential ideals in the Maple system

Συγγραφείς: Zhi-bin Li, Shan-qing Zhang

Πηγή: Acta Mathematicae Applicatae Sinica, English Series. 20:605-616

Θεματικοί όροι: Computational aspects and applications of commutative rings, Software, source code, etc. for problems pertaining to partial differential equations, 0101 mathematics, Symbolic computation and algebraic computation, 01 natural sciences, Geometric theory, characteristics, transformations in context of PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2130930
https://doi.org/10.1007/s10255-004-0198-3
https://rd.springer.com/article/10.1007/s10255-004-0198-3
https://link.springer.com/article/10.1007/s10255-004-0198-3

Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

Συγγραφείς: Yong Chen, Beibei Li, Hao Zhang

Πηγή: Acta Mechanica. 174:77-89

Θεματικοί όροι: KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, concentric KdV equation, exact analytic solutions, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, variable-coefficient Fisher-type equation, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2Fs00707-004-0156-4.pdf
http://faculty.ecnu.edu.cn/picture/article/202/37/d2/9918de0349a7a94cda13161052b7/b91bdc0d-3351-47f7-93b6-ba13f9f65259.pdf.x
https://link.springer.com/article/10.1007%2Fs00707-004-0156-4

AN ALGORITHM OF CONSTRUCTING THE CONSERVATION LAWS OF NONLINEAR EVOLUTION EQUATIONS: An algorithm of constructing the conservation laws of nonlinear evolution equations

Συγγραφείς: Zhibin Li, Ruoxia Yao

Πηγή: International Journal of Modern Physics B. 18:2633-2639

Θεματικοί όροι: KdV equation, scaling symmetry, KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, Hyperbolic conservation laws, 0103 physical sciences, conservation law, nonlinear evoluton equation, integrability, 01 natural sciences, symbolic computation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://ui.adsabs.harvard.edu/abs/2004IJMPB..18.2633Y/abstract

On the parallelization of boundary element codes using standard and portable libraries

Συγγραφείς: M. T. F. Cunha, Jose Claudio de Faria Telles, Alvaro L. G. A. Coutinho, Jairo Panetta

Πηγή: Engineering Analysis with Boundary Elements. 28:893-902

Θεματικοί όροι: Software, source code, etc. for problems pertaining to partial differential equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Parallel programming, OpenMP, Boundary element methods for boundary value problems involving PDEs, Parallel numerical computation, Laplace equation, Boundary elements, Poisson equation, 01 natural sciences, Shared memory, boundary element method (BEM), 0103 physical sciences, LAPACK, Packaged methods for numerical algorithms, 0101 mathematics, numerical experiments

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S095579970400030X
https://core.ac.uk/display/37687704
http://www.sciencedirect.com/science/article/pii/S095579970400030X

On exact solutions of the coupled Klein–Gordon–Schrödinger and the complex coupled KdV equations using mapping method: On exact solutions of the coupled Klein--Gordon--Schrödinger and the complex coupled KdV equations using mapping method

Συγγραφείς: Emmanuel Yomba

Πηγή: Chaos, Solitons & Fractals. 21:209-229

Θεματικοί όροι: KdV equations (Korteweg-de Vries equations), Software, source code, etc. for problems pertaining to partial differential equations, 0103 physical sciences, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, 01 natural sciences, Solutions to PDEs in closed form

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093230
https://doi.org/10.1016/j.chaos.2003.10.028
https://www.sciencedirect.com/science/article/pii/S0960077903005551
https://ui.adsabs.harvard.edu/abs/2004CSF....21..209Y/abstract
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124546

On exact solutions of the nonlinear Schrödinger equations in optical fiber

Συγγραφείς: Yong Chen, Biao Li

Πηγή: Chaos, Solitons & Fractals. 21:241-247

Θεματικοί όροι: Soliton equations, Software, source code, etc. for problems pertaining to partial differential equations, NLS equations (nonlinear Schrödinger equations), 0103 physical sciences, Lasers, masers, optical bistability, nonlinear optics, PDEs in connection with optics and electromagnetic theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2093232
https://doi.org/10.1016/j.chaos.2003.10.029
https://www.sciencedirect.com/science/article/pii/S0960077903005599
https://ui.adsabs.harvard.edu/abs/2004CSF....21..241L/abstract