Výsledky vyhledávání - Numerical approximation of solutions of functional-differential equations

Legendre Approximation-Based Stability Test for Distributed Delay Systems: Legendre approximation-based stability test for distributed delay systems

Autoři: Alejandro Castaño Mathieu Bajodek Sabine Mondié

Zdroj: SIAM Journal on Numerical Analysis. 63:641-660

Témata: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Stability theory of functional-differential equations, necessary and sufficient stability condition, linear functional differential equation, Sensitivity, stability, well-posedness, Numerical approximation of solutions of functional-differential equations, Legendre polynomials approximation

Popis souboru: application/xml

Numerical solution of retarded functional differential equations as abstract Cauchy problems: Numerical solution of retarded functional differential equations as abstract Cauchy problems.

Autoři: MASET, STEFANO Maset, Stefano

Přispěvatelé: MASET, STEFANO Maset, Stefano

Zdroj: Journal of Computational and Applied Mathematics. 161:259-282

Témata: delay differential equations, Runge-Kutta methods, convergence, Applied Mathematics, stability, Delay Differential Equations, Numerical approximation of solutions of functional-differential equations, abstract Cauchy problem, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, retarded functional differential equations, Computational Mathematics, linear system, 0101 mathematics, initial value problem, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/11368/1697479
https://core.ac.uk/display/53700142
https://dl.acm.org/doi/10.1016/j.cam.2003.03.001
http://ui.adsabs.harvard.edu/abs/2003JCoAM.161..259M/abstract
https://www.sciencedirect.com/science/article/pii/S0377042703007003
https://hdl.handle.net/11368/1697479

General Linear Methods for the Numerical Solution of Functional-Differential Equations: General linear methods for the numerical solution of functional-differential equations

Autoři: V. G. Pimenov

Zdroj: Differential Equations. 37:116-127

Témata: delay differential equations, convergence, Runge-Kutta methods, consistency, linear discretization methods, stability, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, functional-differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, initial value problems, one-step method, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A%3A1019232718078
https://link.springer.com/content/pdf/10.1023/A:1019232718078.pdf

Characterising small solutions in delay differential equations through numerical approximations

Autoři: Ford, Neville J. Lunel, Sjoerd M. V. Chester College a další

Přispěvatelé: Ford, Neville J. Lunel, Sjoerd M. V. Chester College a další

Zdroj: Applied Mathematics and Computation. 131:253-270

Témata: small solutions, finite-dimensional approximations, 0103 physical sciences, numerical solutions, delay equations, General theory of functional-differential equations, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, spectrum

Popis souboru: application/xml; YES

Přístupová URL adresa: https://chesterrep.openrepository.com/bitstream/10034/13244/8/ford%26lunel.pdf
https://dblp.uni-trier.de/db/journals/amc/amc131.html#FordL02
https://dl.acm.org/doi/10.5555/2618333.2618911
http://www.chester.ac.uk/sites/files/chester/rep381_1.pdf
https://chesterrep.openrepository.com/cdr/bitstream/10034/13244/8/ford%26lunel.pdf
https://chesterrep.openrepository.com/handle/10034/14553
https://doi.org/10.1016/S0096-3003(01)00144-8

Numerical solution of functional differential, integral and integro-differential equations

Autoři: M.T Rashed

Zdroj: Applied Mathematics and Computation. 156:485-492

Témata: Integro-ordinary differential equations, numerical examples, Volterra integral equations, Functional integro-differential equations, Lagrange interpolation, Numerical methods for integral equations, Functional integral equations of the second kind, Chebyshev interpolation, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Functional differential equations of first or second order, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences

Popis souboru: application/xml

Numerical approximation of solutions of functional equations using the Tau Method: Numerical approximation of solutions of functional equations using the Tau method

Autoři: H. G. Khajah E. L. Ortiz

Zdroj: Applied Numerical Mathematics. 9:461-474

Témata: functional equations, canonical polynomials, difference equations, Nonlinear ordinary differential equations and systems, General theory of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, functional differential equations, Functional equations for real functions, Numerical methods for functional equations, segmented Tau method, Tau method, 0101 mathematics, rational Tau approximations

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/016892749290002U

A BRIEF SURVEY ON THE NUMERICAL DYNAMICS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS: A brief survey on the numerical dynamics for functional differential equations

Autoři: Barnabas M. Garay

Zdroj: International Journal of Bifurcation and Chaos. 15:729-742

Témata: invariant manifolds, hyperbolic periodic orbits, Attractors and repellers of smooth dynamical systems and their topological structure, saddle structure, Kamke monotonicity, Generic properties, structural stability of dynamical systems, Numerical methods for Hamiltonian systems including symplectic integrators, Numerical approximation of solutions of functional-differential equations, Stability theory for smooth dynamical systems, 01 natural sciences, Runge-Kutta discretizations, survey paper, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, compact attractors, hyperbolic equilibria, retarded functional differential equations, error estimates, Research exposition (monographs, survey articles) pertaining to numerical analysis, structural stability, Periodic orbits of vector fields and flows, inertial manifolds, delay equations, center-unstable manifolds, 0101 mathematics, Error bounds for numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.bme.hu/~garay/gfarkas.pdf
https://ui.adsabs.harvard.edu/abs/2006mcds.book...33G/abstract
https://ui.adsabs.harvard.edu/abs/2005IJBC...15..729G/abstract
http://www.math.bme.hu/~garay/gfarkas.pdf
https://www.worldscientific.com/doi/abs/10.1142/S021812740501251X
https://dblp.uni-trier.de/db/journals/ijbc/ijbc15.html#Garay05

A numerical C1-shadowing result for retarded functional differential equations: A numerical \(C^{1}\)-shadowing result for retarded functional differential equations

Autoři: Gyula Farkas

Zdroj: Journal of Computational and Applied Mathematics. 145:269-289

Témata: numerical examples, discretization by projection, Applied Mathematics, \(C^1\)-shadowing, Shadowing, General theory of functional-differential equations, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, retarded functional differential equations, Computational Mathematics, Functional differential equation, Theoretical approximation of solutions to functional-differential equations, 0101 mathematics, Stable manifolds

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0377042701005817
https://www.sciencedirect.com/science/article/pii/S0377042701005817
http://ui.adsabs.harvard.edu/abs/2002JCoAM.145..269F/abstract

Bifurcation Analysis of Periodic Solutions of Neural Functional Differential Equations: A Case Study: Bifurcation analysis of periodic solutions to neutral functional differential equations: A case study

Autoři: Tatyana Luzyanina Dirk Roose Koen Engelborghs

Zdroj: International Journal of Bifurcation and Chaos. :1889-1905

Témata: neutral functional-differential equations, Poincaré operator, numerical bifurcation analysis, periodic solutions, stability, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, 01 natural sciences, Bifurcation theory of functional-differential equations, Periodic solutions to functional-differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://www.worldscientific.com/doi/abs/10.1142/S0218127498001595
https://ui.adsabs.harvard.edu/abs/1998IJBC....8.1889E/abstract

Stability of Runge–Kutta methods in the numerical solution of equation u′(t)=au(t)+a0u([t])+a1u([t−1]): Stability of Runge-Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0} u([t])+a_{1} u([t-1])\)

Autoři: Minghui Song Mingzhu Liu Z.W. Yang

Zdroj: Applied Mathematics and Computation. 162:37-50

Témata: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical solution of boundary value problems involving ordinary differential equations, asymptotic stability, delay differential equation, piecewise continuous argument, Runge-Kutta method, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0096300304000542
https://dblp.uni-trier.de/db/journals/amc/amc162.html#YangLS05

Stability of Runge–Kutta methods in the numerical solution of equation u′(t)=au(t)+a0u([t]): Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t])\).

Autoři: Zhanwen Yang Minghui Song Mingzhu Liu

Zdroj: Journal of Computational and Applied Mathematics. 166:361-370

Témata: stability regions, asymptotic stability, Runge-Kutta methods, Asymptotic stability, Applied Mathematics, Piecewise continuous arguments, numerical results, Numerical approximation of solutions of functional-differential equations, piecewise continuous arguments, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Delay differential equation, Computational Mathematics, delay differential equation, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82710874
https://www.sciencedirect.com/science/article/abs/pii/S0377042703007362
https://ui.adsabs.harvard.edu/abs/2004JCoAM.166..361L/abstract
https://www.sciencedirect.com/science/article/pii/S0377042703007362

Properties of analytic solution and numerical solution of multi-pantograph equation

Autoři: Mingzhu Liu Dongsong Li

Zdroj: Applied Mathematics and Computation. 155:853-871

Témata: asymptotic stability, numerical examples, multi-pantograph equation, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, theta-method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2107384
https://doi.org/10.1016/j.amc.2003.07.017

Linear stability of numerical methods for systems of functional differential equations with a proportional delay*: Linear stability of numerical methods for systems of functional differential equations with a proportional delay.

Autoři: Chengming Huang Siqing Gan

Zdroj: Progress in Natural Science. 13:329-333

Témata: system of functional differential equations, general linear methods, stability, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, proportional delay

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1983578
http://www.tandfonline.com/doi/abs/10.1080/10020070312331343620?queryID=%24%7BresultBean.queryID%7D
http://www.scichina.com/jzyw/0305/jy0329.stm
http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZKJY200305001.htm

Hopf bifurcation in numerical approximation for delay differential equations

Autoři: Baodong Zheng Mingzhu Liu Chunrui Zhang

Zdroj: Journal of Applied Mathematics and Computing. 14:319-328

Témata: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, 0209 industrial biotechnology, delay differential equations, Runge Kutta methods, 0211 other engineering and technologies, Hopf bifurcation, linear multistep methods, 02 engineering and technology, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, Bifurcation theory of functional-differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2063155
https://doi.org/10.1007/bf02936117
https://link.springer.com/article/10.1007%2FBF02936117
https://link.springer.com/content/pdf/10.1007/BF02936117.pdf

Stability analysis of numerical methods for systems of functional-differential and functional equations: Stability analysis of numerical methods for systems of functional-differential and functional equations.

Autoři: Chengming Huang Qianshun Chang

Zdroj: Computers & Mathematics with Applications. 44:717-729

Témata: neutral type, asymptotic stability, Hybrid systems, Runge-Kutta methods, multistep methods, One-leg methods, Numerical stability, Linear multistep methods, Functional equations, Numerical approximation of solutions of functional-differential equations, Linear, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Neutral functional-differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Functional-differential equations, Numerical methods for functional equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, linear stability, explicit and implicit methods

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0898122102001852

Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations

Autoři: Koen Engelborghs Dirk Roose

Zdroj: Advances in Computational Mathematics. 10:271-289

Témata: Bifurcation theory for ordinary differential equations, delay differential equations, Growth, boundedness, comparison of solutions to functional-differential equations, bifurcation, steady state solutions, Numerical investigation of stability of solutions to ordinary differential equations, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Hopf bifurcations, stability, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Numerical approximation of solutions of functional-differential equations, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A:1018986817622
https://dblp.uni-trier.de/db/journals/adcm/adcm10.html#EngelborghsR99

The use of the Euler method in identification of multiple bifurcations and chaotic behavior in numerical approximation of delay-differential equations

Autoři: Mingshu Peng Ahmet Uçar

Zdroj: Chaos, Solitons & Fractals. 21:883-891

Témata: quasiperiodic solutions, finite-dimensional discrete dynamical system, limit cycles, Numerical bifurcation problems, Bifurcations of limit cycles and periodic orbits in dynamical systems, 0103 physical sciences, Computational methods for bifurcation problems in dynamical systems, Numerical approximation of solutions of functional-differential equations, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems, periodic oscillations

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2004CSF....21..883P/abstract
https://www.sciencedirect.com/science/article/pii/S0960077903006799

Open issues in devising software for the numerical solution of implicit delay differential equations

Autoři: GUGLIELMI, NICOLA

Zdroj: Journal of Computational and Applied Mathematics. 185:261-277

Témata: RADAR5, pantograph equation, numerical examples, Applied Mathematics, Numerical code, 3-stage Radau IIA Runge-Kutta method, RADAR5, Implicit delay differential equations, Radau method, Numerical code, Error control, Numerical approximation of solutions of functional-differential equations, Error control, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Computational Mathematics, Radau method, 0101 mathematics, Implicit delay differential equations, Error bounds for numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0377042705001147
https://ui.adsabs.harvard.edu/abs/2006JCoAM.185..261G/abstract
https://www.sciencedirect.com/science/article/pii/S0377042705001147
https://dialnet.unirioja.es/servlet/articulo?codigo=1276509
https://univaq.it/~guglielm/PAPERS/DDESoft.pdf
https://core.ac.uk/display/82776617

Asymptotic stability in the numerical solution of linear pure delay differential equations as abstract Cauchy problems

Autoři: Stefano Maset

Zdroj: Journal of Computational and Applied Mathematics. 111:163-172

Témata: asymptotic stability, delay differential equations, Asymptotic stability, Applied Mathematics, Numerical approximation of solutions of functional-differential equations, abstract Cauchy problem, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Delay differential equation, Computational Mathematics, Linear functional-differential equations, discretization, Abstract Cauchy problem, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1398827
https://doi.org/10.1016/s0377-0427(99)00140-5
http://www.sciencedirect.com/science/article/pii/S0377042799001405
https://www.sciencedirect.com/science/article/pii/S0377042799001405

Weak approximation of stochastic differential delay equations

Autoři: Buckwar, Evelyn Shardlow, Tony

Zdroj: IMA Journal of Numerical Analysis. 25:57-86

Témata: Numerical solutions to stochastic differential and integral equations, ddc:330, 330 Wirtschaft, Stochastic functional-differential equations, discrete time approximation, Stochastic delay equations, Theoretical approximation of solutions, Stochastic partial differential equations, Stochastic delay equations,Theoretical approximation of solutions,Stochastic partial differential equations,Stability and convergence of numerical approximations, Numerical approximation of solutions of functional-differential equations, 01 natural sciences, Stochastic ordinary differential equations (aspects of stochastic analysis), stochastic differential equations with time delay, forward Euler approximation, Stability and convergence of numerical approximations, weak convergence, 0101 mathematics, Computational methods for stochastic equations (aspects of stochastic analysis), Monte Carlo simulation

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://edoc.hu-berlin.de/bitstream/18452/4297/1/88.pdf
https://researchportal.bath.ac.uk/en/publications/weak-approximation-of-stochastic-differential-delay-equations
https://academic.oup.com/imajna/article-abstract/25/1/57/731462
https://edoc.hu-berlin.de/bitstream/18452/4297/1/88.pdf
https://academic.oup.com/imajna/article-abstract/25/1/57/731462/Weak-approximation-of-stochastic-differential
https://edoc.hu-berlin.de/handle/18452/4297
http://hdl.handle.net/10419/62718
http://edoc.hu-berlin.de/18452/4297
https://doi.org/10.18452/3645
https://www.econstor.eu/bitstream/10419/62718/1/725952385.pdf