Suchergebnisse - "Error bounds for numerical methods for ordinary differential equations"

An improved fractional predictor-corrector method for nonlinear fractional differential equations with initial singularity

Autoren: Jianfei Huang Junlan Lv Sadia Arshad

Quelle: Fractional Calculus and Applied Analysis. 28:453-472

Schlagwörter: initial singularity, variable transformation, predictor-corrector method, error estimate, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, nonlinear fractional differential equation, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems

Autoren: Tian, Liutao Yang, Shuo Tian, Hongjiong

Quelle: Calcolo. 62

Schlagwörter: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, continuous Galerkin method, initial value problem, Numerical methods for initial value problems involving ordinary differential equations, a posteriori error estimation, \textit{hp}-adaptive refinement procedure, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

The local discontinuous Galerkin method on graded meshes for 1d singularly perturbed convection–diffusion problems: The local discontinuous Galerkin method on graded meshes for 1d singularly perturbed convection-diffusion problems

Autoren: You Wu Yao Cheng

Quelle: Computational and Applied Mathematics. 44

Schlagwörter: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, local discontinuous Galerkin method, Duran mesh, convection-diffusion, singularly perturbed, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, Duran-Shishkin mesh, convergence analysis

Dateibeschreibung: application/xml

Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics: Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics

Autoren: Zhang, Lei Zhang, Pingwen Zheng, Xiangcheng

Quelle: Chinese Annals of Mathematics, Series B. 44:765-780

Schlagwörter: saddle point, Dynamical systems in numerical analysis, numerical analysis, solution landscape, semi-implicit, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Numerical nonlinear stabilities in dynamical systems, constrained saddle dynamics, 01 natural sciences, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2307.01012
https://zbmath.org/7783653
https://doi.org/10.1007/s11401-023-0043-8

A posteriori error estimates and adaptivity for the IMEX BDF2 method for nonlinear parabolic equations

Autoren: Yang, Shuo Tian, Liutao Tian, Hongjiong

Quelle: Journal of Computational and Applied Mathematics. 457:116318

Schlagwörter: a posteriori error estimates, variable BDF2 method, adaptive time stepping, Error bounds for initial value and initial-boundary value problems involving PDEs, IMEX, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, nonlinear parabolic equations, second-order reconstruction, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7958855
https://doi.org/10.1016/j.cam.2024.116318

Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term

Autoren: Sanjay Ku Sahoo Vikas Gupta

Quelle: Mathematical Methods in the Applied Sciences. 45:4876-4898

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, Richardson extrapolation, finite difference, convection-diffusion, discontinuous coefficients, uniform convergence, 01 natural sciences, interior layer, Mesh generation, refinement, and adaptive methods for ordinary differential equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, piece-wise uniform mesh

Dateibeschreibung: application/xml

Asymptotic streamline diffusion finite element method for singularly perturbed convection–diffusion differential difference equations: Asymptotic streamline diffusion finite element method for singularly perturbed convection-diffusion differential difference equations

Autoren: Senthilkumar L.S. Subburayan Veerasamy Ravi P. Agarwal

Quelle: Mathematical Methods in the Applied Sciences. 46:11509-11522

Schlagwörter: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, differential difference equations, Singular perturbations of functional-differential equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, asymptotic expansion approximation, Numerical methods for functional-differential equations, convection-diffusion problem, Shishkin mesh, SDFEM, 0101 mathematics, 01 natural sciences, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

A new stable collocation method for solving a class of nonlinear fractional delay differential equations

Autoren: Lei Shi Zhong Chen Xiaohua Ding et al.

Quelle: Numerical Algorithms. 85:1123-1153

Schlagwörter: nonlinear differential equations, \( \varepsilon \)-approximate solutions, Newton's iterative formula, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, 4. Education, fractional delay differential equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, Functional-differential equations with fractional derivatives, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s11075-019-00858-9.pdf
https://zbmath.org/7290711
https://doi.org/10.1007/s11075-019-00858-9
https://link.springer.com/content/pdf/10.1007/s11075-019-00858-9.pdf
https://dblp.uni-trier.de/db/journals/na/na85.html#ShiCDM20
https://link.springer.com/article/10.1007/s11075-019-00858-9

A streamlined numerical method to treat fractional nonlinear terminal value problems with multiple delays appearing in biomathematics

Autoren: Ömür Kıvanç Kürkçü

Quelle: Comp. Appl. Math.

Schlagwörter: terminal condition, matrix-collocation method, delay differential equation, fractional derivative, Numerical methods for functional-differential equations, 0101 mathematics, 01 natural sciences, Functional-differential equations with fractional derivatives, General biology and biomathematics, error analysis, Article, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7671195
https://doi.org/10.1007/s40314-023-02216-x

A high order convergent adaptive numerical method for singularly perturbed nonlinear systems

Autoren: null Sumit Shashikant Kumar Sunil Kumar

Quelle: Computational and Applied Mathematics. 41

Schlagwörter: Finite difference and finite volume methods for ordinary differential equations, nonlinear system, 0101 mathematics, a posteriori analysis, Numerical methods for initial value problems involving ordinary differential equations, uniform convergence, 01 natural sciences, singularly perturbed, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, adaptive meshes

Dateibeschreibung: application/xml

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

Autoren: Barnabas M. Garay

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Geometric numerical integration illustrated by the Störmer–Verlet method: Geometric numerical integration illustrated by the Störmer-Verlet method.

Autoren: Hairer, Ernst Lubich, Christian Wanner, Gerhard

Quelle: Acta Numerica 2003 ISBN: 9780521825238
Acta Numerica, Vol. 12 (2003) pp. 399-450

Schlagwörter: Störmer-Verlet method, geometric numerical integration, near-integrable systems, Numerical methods for Hamiltonian systems including symplectic integrators, Shake, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Geometric numerical integration, reversibility, linear error growth, backward error analysis, ddc:510, Hamiltonian systems, 0101 mathematics, Störmer/Verlet method, Numerical experiments, Error bounds for numerical methods for ordinary differential equations, Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, volume preservation, Symplecticity, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, symplecticity, Conservation of first integrals and adiabatic invariants backward error analysis, Symmetry and reversibility, long-time energy conservation

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://www.math.kit.edu/ianm3/lehre/geonumint2009s/media/gni_by_stoermer-verlet.pdf
https://archive-ouverte.unige.ch/unige:12277/ATTACHMENT01
http://cco.cup.cam.ac.uk/chapter.jsf?bid=CBO9780511550157&cid=CBO9780511550157A010
http://ebooks.cambridge.org/ref/id/CBO9780511550157A010
https://www.math.kit.edu/ianm3/lehre/geonumint2009s/media/gni_by_stoermer-verlet.pdf
https://archive-ouverte.unige.ch/unige:12277/ATTACHMENT01
https://archive-ouverte.unige.ch/unige:12277
http://www.mat.uc.pt/~alma/aulas/modelos/ficheiros/geometric.pdf
https://www.scilit.net/article/0c8a79698e31c86a8349279cd40783a4
http://www.math.kit.edu/ianm3/lehre/geonumint2009s/media/gni_by_stoermer-verlet.pdf
https://archive-ouverte.unige.ch/unige:12277

An exponential matrix method for solving systems of linear differential equations

Autoren: Şuayip Yüzbaşı Mehmet Sezer

Quelle: Mathematical Methods in the Applied Sciences. 36:336-348

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, numerical examples, 0209 industrial biotechnology, system of linear differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, error estimation, 0202 electrical engineering, electronic engineering, information engineering, Linear boundary value problems for ordinary differential equations, collocation points, 02 engineering and technology, exponential approximate, Error bounds for numerical methods for ordinary differential equations, exponential matrix method

Dateibeschreibung: application/xml

Zugangs-URL: https://onlinelibrary.wiley.com/doi/10.1002/mma.2593
https://ui.adsabs.harvard.edu/abs/2013MMAS...36..336Y/abstract

An Interval Hermite-Obreschkoff Method for Computing Rigorous Bounds on the Solution of an Initial Value Problem for an Ordinary Differential Equation: An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation

Autoren: Kenneth R. Jackson Nedialko S. Nedialkov

Quelle: Developments in Reliable Computing ISBN: 9789048153503

Schlagwörter: General methods in interval analysis, interval methods, Hermite-Obreschkoff method, guaranteed bounds, Nonlinear ordinary differential equations and systems, stability, Numerical methods for initial value problems involving ordinary differential equations, Taylor series methods, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1421491
https://doi.org/10.1023/a:1009936607335
https://link.springer.com/10.1007/978-94-017-1247-7_23
https://rd.springer.com/chapter/10.1007/978-94-017-1247-7_23
https://link.springer.com/chapter/10.1007/978-94-017-1247-7_23
https://dblp.uni-trier.de/db/journals/rc/rc5.html#NedialkovJ99

Asymptotic error estimates of a linearized projection-difference method for a differential equation with a monotone operator

Autoren: A. G. Zarubin P. V. Vinogradova

Quelle: Numerical Analysis and Applications. 3:317-328

Schlagwörter: Cauchy problem, Abstract parabolic equations, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, projection-difference method, operator-differential equation, Nonlinear differential equations in abstract spaces, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, monotone operator, Numerical solutions to abstract evolution equations, parabolic problem, Faedo-Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for ordinary differential equations, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6262023
https://doi.org/10.1134/s1995423910040038
https://link.springer.com/article/10.1134/S1995423910040038

Higher order numerical schemes for the solution of fractional delay differential equations

Autoren: Naga Raju Gande H. Madduri

Quelle: Journal of Computational and Applied Mathematics. 402:113810

Schlagwörter: Diethelm's schemes, finite difference, Numerical methods for functional-differential equations, fractional delay differential equations, initial value problems, 14. Life underwater, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, Functional-differential equations with fractional derivatives, interpolation, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0377042721004325
https://dblp.uni-trier.de/db/journals/jcam/jcam402.html#GandeM22
https://doi.org/10.1016/j.cam.2021.113810

Numerical solutions of matrix differential models using cubic matrix splines II: Numerical solutions of matrix differential models using cubic matrix splines. II

Autoren: Michael M. Tung Emilio Defez Antonio Hervás et al.

Quelle: Mathematical and Computer Modelling. 46:657-669

Schlagwörter: first order matrix differential equations, numerical examples, Numerical Analysis (math.NA), Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations, cubic-matrix splines, 01 natural sciences, Sylvester and Riccati differential equations, Computer Science Applications, error estimates, Modelling and Simulation, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0612202
https://zbmath.org/5228543
https://doi.org/10.1016/j.mcm.2006.11.027

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

Autoren: GUGLIELMI, NICOLA

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

The role of conditioning in mesh selection algorithms for first order systems of linear two point boundary value problems

Autoren: Cash JR Sumarti N Trigiante D. et al.

Weitere Verfasser: Cash JR Sumarti N Trigiante D. et al.

Quelle: Journal of Computational and Applied Mathematics. 185:212-224

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, Applied Mathematics, error estimate, algorithms, 01 natural sciences, Computational Mathematics, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Mesh selection, Two-point boundary value problems, grid refinement, 0101 mathematics, singular perturbation, residual control, Error bounds for numerical methods for ordinary differential equations, Conditioning, condition number

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0377042705001111
https://dialnet.unirioja.es/servlet/articulo?codigo=1276506
https://core.ac.uk/display/54130311
https://www.sciencedirect.com/science/article/abs/pii/S0377042705001111
https://ui.adsabs.harvard.edu/abs/2006JCoAM.185..212C/abstract
https://hdl.handle.net/2158/256835

A new mesh selection algorithm, based on conditioning, for two-point boundary value codes

Autoren: Cash JR MAZZIA, Francesca Cash, Jr et al.

Weitere Verfasser: Cash JR MAZZIA, Francesca Cash, Jr et al.

Quelle: Journal of Computational and Applied Mathematics. 184:362-381

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, numerical examples, Nonlinear boundary value problems for ordinary differential equations, Deferred correction, Applied Mathematics, 01 natural sciences, Boundary value methods, Computational Mathematics, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Mesh selection, Two-point boundary value problems, a posteriori error estimate, 0101 mathematics, Error bounds for numerical methods for ordinary differential equations, Conditioning

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2207437
https://doi.org/10.1016/j.cam.2005.01.016
https://ricerca.uniba.it/handle/11586/21965
https://www.sciencedirect.com/science/article/pii/S0377042705000373
https://www.sciencedirect.com/science/article/abs/pii/S0377042705000373
https://core.ac.uk/display/54107237
http://ui.adsabs.harvard.edu/abs/2005JCoAM.184..362C/abstract