Found 219 Documents (Results 1–100)
Solution of the initial boundary value problem in symbolic form. (Russian. English summary) Zbl 1538.65473
Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047
Reviewer: Gema Maria Diaz Toca (Murcia)
Numerical solution of singularly perturbed 2D parabolic initial-boundary-value problems based on reproducing kernel theory: error and stability analysis. (English) Zbl 1533.65203
Symbolic-numeric methods on computing isolated singular solutions of algebraic systems. (Chinese. English summary) Zbl 1499.65189
Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision. (English) Zbl 1535.03231
Solving determinantal systems using homotopy techniques. (English) Zbl 1461.13034
Reviewer: Amir Hashemi (Isfahan)
Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method. (English) Zbl 1485.35383
Practical MATLAB modeling with Simulink. Programming and simulating ordinary and partial differential equations. (English) Zbl 1483.65002
Berkeley, CA: Apress (ISBN 978-1-4842-5798-2/pbk; 978-1-4842-5799-9/ebook). xxii, 473 p. (2020).
Reviewer: Michael Jung (Dresden)
Real monodromy action. (English) Zbl 1433.65094
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients. (English) Zbl 1415.65171
Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. (English) Zbl 1459.34033
Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. (English) Zbl 1412.65059
Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194
Reviewer: Sonia Pérez Díaz (Madrid)
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. (English) Zbl 1382.65216
The method of collocations and least residuals combining the integral form of collocation equations and the matching differential relations at the solution of PDEs. (English) Zbl 1455.65217
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 19th international workshop, CASC 2017, Beijing, China, September 18–22, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10490, 346-361 (2017).
Symbolic-numeric integration of the dynamical Cosserat equations. (English) Zbl 1455.65202
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 19th international workshop, CASC 2017, Beijing, China, September 18–22, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10490, 301-312 (2017).
Computing real witness points of positive dimensional polynomial systems. (English) Zbl 1390.14188
Reviewer: David Sevilla (Merida)
A robust and efficient method for solving point distance problems by homotopy. (English) Zbl 1372.65057
Symbolic-numeric algorithms for solving BVPs for a system of ODEs of the second order: multichannel scattering and eigenvalue problems. (English) Zbl 1453.65187
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 212-227 (2016).
Computing all space curve solutions of polynomial systems by polyhedral methods. (English) Zbl 1453.13084
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 73-86 (2016).
Numerical methods in engineering with MATLAB. 3rd edition. (English) Zbl 1347.65002
Cambridge: Cambridge University Press (ISBN 978-1-107-12057-0/hbk). xi, 417 p. (2016).
Book review of: D. J. Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1325.00015
Applying Monte Carlo methods to analysis of nonlinear regression models. (Russian, English) Zbl 1349.62591
Sib. Zh. Vychisl. Mat. 18, No. 4, 425-434 (2015); translation in Numer. Analysis Appl. 8, No. 4, 344-350 (2015).
Inertia transfer concept based general method for the determination of the base inertial parameters. (English) Zbl 1335.70025
Combinatorial excess intersection. (English) Zbl 1316.14111
Reviewer: Carlos D’Andrea (Barcelona)
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. (English) Zbl 1410.65205
Finding the symbolic solution of a geometric problem through numerical computations. (English) Zbl 1352.68292
Feng, Ruyong (ed.) et al., Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14–17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26–28, 2012. Contributed papers and invited talks. Berlin: Springer (ISBN 978-3-662-43798-8/hbk; 978-3-662-43799-5/ebook). 223-241 (2014).
An a posteriori certification algorithm for Newton homotopies. (English) Zbl 1325.65074
Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 248-255 (2014).
Book review of: Daniel Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1314.00023
The Adomian decomposition method for solving two dimensional Helmholtz equations. (Chinese. English summary) Zbl 1313.65325
Symbolic-numerical solution of boundary-value problems with self-adjoint second-order differential equation using the finite element method with interpolation Hermite polynomials. (English) Zbl 1416.68218
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 16th international workshop, CASC 2014, Warsaw, Poland, September 8–12, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8660, 138-154 (2014).
A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1327.13102
Numerically solving polynomial systems with Bertini. (English) Zbl 1295.65057
Software - Environments - Tools 25. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-69-6/pbk). xx, 352 p. (2013).
Reviewer: Guillermo Matera (Buenos Aires)
Robust certified numerical homotopy tracking. (English) Zbl 1267.14075
Reviewer: Hang Lau (Montréal)
Approximate diagonalization of variable-coefficient differential operators through similarity transformations. (English) Zbl 1268.65101
Denominators of rational solutions of linear difference systems of an arbitrary order. (English. Russian original) Zbl 1261.65134
Program. Comput. Softw. 38, No. 2, 84-91 (2012); translation from Programmirovanie 38, No. 2 (2012).
Reviewer: Petr Zemanek (Brno)
Symbolic analysis for boundary problems: from rewriting to parametrized Gröbner bases. (English) Zbl 1250.65104
Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 273-331 (2012).
Transforming problems from analysis to algebra: a case study in linear boundary problems. (English) Zbl 1241.65066
Computing isolated singular solutions of polynomial systems: case of breadth one. (English) Zbl 1247.65065
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
An improved method for evaluating Max Noether conditions: case of breadth one (extended abstract). (English) Zbl 1345.65036
Moreno Maza, Marc (ed.), Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0515-0). 102-103 (2011).
Supersparse black box rational function interpolation. (English) Zbl 1323.68606
Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 177-186 (2011).
Nonlinear equations. Paper from the 28th Brazilian mathematics colloquium – 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2011. (English) Zbl 1237.65051
Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0329-3/pbk). xiv, 177 p. (2011).
Reviewer: Hang Lau (Montréal)
An analytic approach for some equations arising in heat transfer in a quiescent medium with exponential nonlinearities. (English) Zbl 1223.65080
Regular and singular boundary problems in Maple. (English) Zbl 1308.65127
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 13th international workshop, CASC 2011, Kassel, Germany, September 5–9, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23567-2/pbk). Lecture Notes in Computer Science 6885, 280-293 (2011).
Regeneration homotopies for solving systems of polynomials. (English) Zbl 1221.65121
Reviewer: Alyson Reeves (Bowie)
An analytical approach for solving nonlinear boundary value problems in finite domains. (English) Zbl 1206.65186
A parallel algorithm for analytical solving of partial differential equations systems. (English) Zbl 1219.65128
Chebfun: A new kind of numerical computing. (English) Zbl 1220.65100
Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 69-87 (2010).
Application of adapted homotopy perturbation method for approximate solution of Henon-Heiles system. (English) Zbl 1202.65091
Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations. (English) Zbl 1205.65281
MSC:
65M70
Scientific computing with MATLAB and Octave. 3rd ed. (English) Zbl 1205.65002
Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 978-3-642-12429-7/hbk; 978-3-642-12430-3/ebook). xiv, 360 p. (2010).
Reviewer: Robert Plato (Siegen)
Computer aided solution of the invariance equation for two-variable Stolarsky means. (English) Zbl 1194.65078
Approximate solutions to a parameterized sixth order boundary value problem. (English) Zbl 1189.65147
MSC:
65L10
A new algorithm for solving nonlinear stationary shock problems with mechanization. (English) Zbl 1241.65069
Reviewer: Ahmet Duran (Istanbul)
Symbolic computation of exact solutions for the compound KdV-Sawada-Kotera equation. (English) Zbl 1182.65163
Numerical methods in engineering with MATLAB. 2nd ed. (English) Zbl 1188.65001
Cambridge: Cambridge University Press (ISBN 978-0-521-19133-3/hbk). xi, 431 p. (2010).
Reviewer: Jacek Gilewicz (Marseille)
Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. (English) Zbl 1221.65281
MSC:
65M99
Analysis of the dynamics of mechanical systems of large dimension using computer algebra methods. (Russian) Zbl 1240.70032
An efficient analytical approach for solving fourth order boundary value problems. (English) Zbl 1197.65109
MSC:
65L99
Towards geometric completion of differential systems by points. (English) Zbl 1191.65053
Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 79-97 (2009).
Variational iteration method for solving a generalized pantograph equation. (English) Zbl 1189.65172
MSC:
65L99
Construction of an automatic validated computation for boundary value problems of ODEs. (English) Zbl 1186.68588
Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 306-309 (2009).
Numerical treatment of singular BVPs: the new Matlab code bvpsuite. (English) Zbl 1182.65122
Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 39-42 (2009).
Hybrid solution of two-point linear boundary value problems. (English) Zbl 1239.65051
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 11th international workshop, CASC 2009, Kobe, Japan, September 13–17, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-04102-0/pbk). Lecture Notes in Computer Science 5743, 373-391 (2009).
A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations \(K(n,n)\). (English) Zbl 1173.65053
The novel solitary wave structures and interactions in the \((2+1)\)-dimensional Korteweg-de Vries system. (The novel solitary wave structures and interactions in the \((2+1)\)-dimensional Kortweg-de Vries system.) (English) Zbl 1159.65083
MSC:
65M70
A new expanded method for solving nonlinear differential-difference equation. (English) Zbl 1229.65145
A fast algorithm for a class of nonlinear systems in signal processing. (Chinese. English summary) Zbl 1199.65172
A hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1168.65025
Reviewer: Costică Moroşanu (Iaşi)
New generalized method to construct new non-travelling wave solutions and travelling wave solutions of K-D equations. (English) Zbl 1149.65086
Non-travelling wave solutions of two \((2+1)\)-dimensional nonlinear mathematical physics equations. (English) Zbl 1137.65057
Generalized multiple Riccati equations rational expansion method with symbolic computation to construct exact complexiton solutions of nonlinear partial differential equations. (English) Zbl 1135.65385
Application of a numerical version of Terracini’s lemma for secants and joins. (English) Zbl 1137.65035
Dickenstein, Alicia (ed.) et al., Algorithms in algebraic geometry. Based on the workshop, Minneapolis, MN, USA, September 18–22, 2006. New York, NY: Springer (ISBN 978-0-387-75154-2/hbk). The IMA Volumes in Mathematics and its Applications 146, 1-14 (2008).
Derivation of particular solutions using Chebyshev polynomial based functions. (English) Zbl 1198.65245
Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form. (Ukrainian, English) Zbl 1150.65019
Ukr. Mat. Zh. 59, No. 8, 1140-1147 (2007); translation in Ukr. Math. J. 59, No. 8, 1264-1273 (2007).
Symbolic compensation method in finite element. (Chinese. English summary) Zbl 1142.65391
Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials. (English) Zbl 1172.65384
Elliptic equation’s new solutions and their applications to two nonlinear partial differential equations. (English) Zbl 1118.65379
Applications of the combined tanh function method with symmetry method to the nonlinear evolution equations. (English) Zbl 1114.65356
An algorithm for solving singular perturbation problems with mechanization. (English) Zbl 1114.65340
A symbolic-numeric approach to an electric field problem. (English) Zbl 1120.78006
Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 349-359 (2007).
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