Found 98 Documents (Results 1–98)
The algebro-geometric method: solving algebraic differential equations by parametrizations. (English) Zbl 1523.34002
Reviewer: Maria Filipkovska (Kharkiv)
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables. (English) Zbl 1502.34017
Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations. (English) Zbl 1490.35488
Symbolic solutions of algebraic ODEs: a comparison of methods. (English) Zbl 1499.34004
Reviewer: Anthony D. Osborne (Keele)
Rational Liouvillian solutions of algebraic ordinary differential equations of order one. (English) Zbl 1478.14087
Reviewer: Franz Winkler (Linz)
General nucleation-growth type kinetic models of nanoparticle formation: possibilities of finding analytical solutions. (English) Zbl 1478.82013
Solving first order autonomous algebraic ordinary differential equations by places. (English) Zbl 1445.12003
Reviewer: Vladimir P. Kostov (Nice)
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
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. (English) Zbl 1382.65216
Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree. (English) Zbl 1393.34038
Reviewer: Gennaro Infante (Arcavata di Rende)
Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities. (English) Zbl 1371.34057
Approximate diagonalization of variable-coefficient differential operators through similarity transformations. (English) Zbl 1268.65101
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
An analytical approach for solving nonlinear boundary value problems in finite domains. (English) Zbl 1206.65186
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).
Operational calculus approach to nonlocal Cauchy problems. (English) Zbl 1221.44011
Reviewer: Franz Selig (Wien)
Application of adapted homotopy perturbation method for approximate solution of Henon-Heiles system. (English) Zbl 1202.65091
A new algorithm for solving nonlinear stationary shock problems with mechanization. (English) Zbl 1241.65069
Reviewer: Ahmet Duran (Istanbul)
Period two implies chaos for a class of ODEs: a dynamical system approach. (English) Zbl 1223.34063
Reviewer: Pierpaolo Omari (Trieste)
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).
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 new expanded method for solving nonlinear differential-difference equation. (English) Zbl 1229.65145
Algorithmic Lie theory for solving ordinary differential equations. (English) Zbl 1139.34003
Pure and Applied Mathematics (Boca Raton) 291. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-889-5/hbk). x, 434 p. (2008).
Reviewer: Werner M. Seiler (Kassel)
The exact solutions of a modified Volterra lattice. (Chinese. English summary) Zbl 1150.34612
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).
On a cubic system with eight limit cycles. (English) Zbl 1143.34025
Reviewer: Alexander Grin (Grodno)
Symbolic compensation method in finite element. (Chinese. English summary) Zbl 1142.65391
Topological horseshoes of traveling waves for a fast-slow predator-prey system. (English) Zbl 1143.34032
Reviewer: Patrick Habets (Louvain-La-Neuve)
An algorithm for solving singular perturbation problems with mechanization. (English) Zbl 1114.65340
Eigenvalue problem for the second order differential equation with nonlocal conditions. (English) Zbl 1112.65071
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm. (English) Zbl 1113.37054
Stability analysis of biological systems with real solution classification. (English) Zbl 1360.92048
Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 354-361 (2005).
Algebraic general solutions of algebraic ordinary differential equations. (English) Zbl 1360.68913
Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 29-36 (2005).
New options to visualize systems of differential equations in Maple. (English) Zbl 1107.65059
Kotsireas, Ilias S. (ed.), Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17–21, 2005.With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft (ISBN 1-894511-85-9/pbk). 439-450 (2005).
An approach to directly construct exact solutions of nonlinear differential-difference equations. (English) Zbl 1096.34501
Reviewer: N. C. Apreutesei (Iaşi)
An algorithm for solving nonlinear singular perturbation problems with mechanization. (English) Zbl 1082.65554
Problems with quasiperiodic and Bitsadze-Samarskii conditions. (Ukrainian. English summary) Zbl 1091.65077
Solving parameter-dependent elliptic problems by finite element method and symbolic computation. (English) Zbl 1060.65632
Psihoyios, G. (ed.), NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23–26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH (ISBN 3-527-40462-7). 79-82 (2004).
On detecting of chaotic dynamics via isolating chains. (English) Zbl 1053.34041
Reviewer: Roman Srzednicki (Kraków)
Automation of perturbation analysis in computer algebra: Progress and difficulties. (English) Zbl 1036.65064
Li, Ziming (ed.) et al., Computer mathematics. Proceedings of the sixth Asian symposium (ASCM 2003), Beijing, China, April 17–19, 2003. River Edge, NJ: World Scientific (ISBN 981-238-220-8/hbk). Lect. Notes Ser. Comput. 10, 204-216 (2003).
Chaos in the Kuramoto-Sivashinsky equations – a computer-assisted proof. (English) Zbl 1050.37017
Reviewer: Roman Srzednicki (Kraków)
A new numerical approach for solving high-order non-linear ordinary differential equations. (English) Zbl 1025.65039
Numerical aspects of solution of singular boundary value problems. (Ukrainian) Zbl 1097.65534
Ukrainian mathematical congress–2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 8. Computational mathematics and mathematical problems of mechanics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2778-7). 64-70 (2002).
Finding approximate and exact eigenvalues for some classes of boundary value problems in the case of ordinary differential equations. (Ukrainian. English summary) Zbl 1063.65557
Geometric completion of differential systems using numeric symbolic continuation. (English) Zbl 1054.65090
Solving nonlinear differential equations having periodic solutions. (English) Zbl 1025.65037
Reviewer: Vladimir L.Makarov (Kyïv)
Exact analytical solutions to a set of coupled nonlinear differential equations using symbolic computation. (English) Zbl 1016.34002
Shirayanagi, Kiyoshi (ed.) et al., Computer mathematics. Proceedings of the 5th Asian symposium (ASCM 2001), Matsuyama, Japan, September 26-28, 2001. Singapore: World Scientific. Lect. Notes Ser. Comput. 9, 201-210 (2001).
Reviewer: Werner M.Seiler (Mannheim)
Symbolic computation of Newton sum rules for the zeros of polynomial eigenfunctions of linear differential operators. (English) Zbl 0997.65102
Reviewer: Hans Benker (Merseburg)
A Mathematica solver for two-point singularly-perturbed boundary value problems. (English) Zbl 0988.65054
Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22-26, 2001. Berlin: Springer. 377-390 (2001).
Computer algebra tool for the solution of the boundary-value problems. (English) Zbl 0963.65520
Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 809-811 (2000).
Linear algebra and linear operators in engineering. With applications in Mathematica. (English) Zbl 0959.65001
Process Systems Engineering. 3. San Diego, CA: Academic Press. xii, 547 p. (2000).
Reviewer: A.Bultheel (Leuven)
MSC:
65-01
15-01
47-01
00A06
68W30
15A15
15A03
15A09
15A06
15A18
65F05
65F10
65F15
65H10
46C05
47E05
47G10
34L15
65L15
Effective formal reduction of linear differential systems. (English) Zbl 0945.34002
Reviewer: G.G.Vrănceanu (Bucureşti)
An enhanced ODE solver for REDUCE. (English. Russian original) Zbl 0972.65049
Program. Comput. Softw. 23, No. 3, 122-135 (1997); translation from Programmirovanie 1997, No. 3, 5-22 (1997).
Differential equations with Mathematica. Rev. for Mathematica 3. 0. 2nd ed. (English) Zbl 0916.65073
New York, NY: Wiley. vi, 240 p. (1997).
Reviewer: P.Y.Yalamov (Russe)
Note on Kovacic’s algorithm. (English) Zbl 0871.12008
Reviewer: G.G.Vrănceanu (Bucureşti)
A new algorithm for computing the spectral matrix for higher-order differential equations and the location of discrete eigenvalues. (English) Zbl 0857.65080
Renegar, James (ed.) et al., The mathematics of numerical analysis. 1995 AMS-SIAM summer seminar in applied mathematics, July 17–August 11, 1995, Park City, UT, USA. Providence, RI: American Mathematical Society. Lect. Appl. Math. 32, 145-155 (1996).
Construction of a fundamental matrix solution at a singular point of the first kind by means of the SN decomposition of matrices. (English) Zbl 0851.65053
Reviewer: Costică Moroşanu (Iaşi)
The general solution to an ordinary differential equation. (English) Zbl 0919.34002
Lakshman, Y. N. (ed.), Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC ’96, Zürich, Switzerland, July 24–26, 1996. New York, NY: ACM Press. 189-195 (1996).
Reviewer: P.Chocholatý (Bratislava)
Computer implementation of a series solution for constant coefficient ordinary differential equations. (English) Zbl 0874.65052
D’Alembert substitutions and adjoint differential equations (computer- algebraic aspects). (English. Russian original) Zbl 0835.34013
Comput. Math. Math. Phys. 34, No. 7, 863-873 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 7, 1001-1014 (1994).
Computing closed form solutions of first order ODEs using the Prelle- Singer procedure. (English) Zbl 0793.34002
Slope retention techniques for solving boundary-value problems in differential equations. (English) Zbl 0751.65052
Reviewer: M.Gousidou-Koutita (Thessaloniki)
Kovacic’s algorithm and its application to some families of special functions. (English) Zbl 0785.12003
Reviewer: E.V.Pankrat’ev (Moskva)
Sustained resonance in very slowly varying oscillatory Hamiltonian systems. (English) Zbl 0822.34050
Uniqueness results for Emden-Fowler boundary value problems. (English) Zbl 0744.34023
Reviewer: P.Zezza (Firenze)
Investigating a hybrid perturbation-Galerkin technique using computer algebra. (English) Zbl 0748.65059
Reviewer: P.Chocholatý (Bratislava)
Symbolic computation and automatic FORTRAN code generation for eigenvalue determination by phase integral method. (English) Zbl 0703.65047
Reviewer: L.M.Berkovich
The computer generated symbolic solution of a system of linear first order differential equations. (English) Zbl 0697.65061
Reviewer: K.Najzar
Rational solutions of linear differential and difference equations with polynomial coefficients. (English) Zbl 0719.65063
Rational solutions of linear differential and difference equations with polynomial coefficients. (Russian) Zbl 0695.65051
Reviewer: Taketomo Mitsui (Chikusa-ku / Nagoya)
An algorithm for solving second order linear homogeneous differential equations. (English) Zbl 0603.68035
Closed form solutions of ordinary differential equations. (English) Zbl 0642.65059
Symbolic and algebraic computation by computers, 2nd RIKEN Int. Symp., Wako-shi/Jap. 1984, Ser. Comput. Sci. 2, 183-195 (1985).
Solving homogeneous linear differential equations in terms of second order linear differential equations. (English) Zbl 0564.12022
Reviewer: N. V. Grigorenko
On the motion of a one-dimensional oscillator in a field with periodic potential. (Russian) Zbl 0542.34031
Reviewer: Y.Yangian
Computer aided symbolic solution of multi-point boundary value problems occurring in physics and engineering. (English) Zbl 0465.65046
Oscillatory solutions in the planar restricted three-body problem. (English) Zbl 0505.70010
Reviewer: Helmut Rüßmann (Mainz)
The solution of second order problems with a symbolic-numeric method. (English) Zbl 0446.65041
Codes for boundary-value problems in ordinary differential equations, Proc. Conf., Houston 1978, Lect. Notes Comput. Sci. 76, 101-108 (1979).
Maschinelle symbolische Lösung von Differentialgleichungen 1. Ordnung und 1. Grades. (German) Zbl 0407.68047
Inf. Ber. 17, 120 S. (1977).
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