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Displaying 201 – 220 of 882

Comparing numerical integration schemes for a car-following model with real-world data

Přikryl, Jan, Vaniš, Miroslav (2017)

Programs and Algorithms of Numerical Mathematics

A key element of microscopic traffic flow simulation is the so-called car-following model, describing the way in which a typical driver interacts with other vehicles on the road. This model is typically continuous and traffic micro-simulator updates its vehicle positions by a numerical integration scheme. While increasing the order of the scheme should lead to more accurate results, most micro-simulators employ the simplest Euler rule. In our contribution, inspired by [1], we will provide some additional...

Comparing Routines for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations in Multiple Shooting .

H.J. Pesch, P. Rentrop, H.J. Diekhoff, P. Lory, H.J. Oberle, R. Sedel (1976/1977)

Numerische Mathematik

Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.

Argyros, Ioannis K. (1998)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.

Neamaty, A., Darzi, R. (2010)

Boundary Value Problems [electronic only]

Comparison of the factorization method and the method of combination of solutions

Ivo Hrubec, Jiří Taufer (1972)

Aplikace matematiky

Computable error bounds for collocation methods.

Ahmed, A.H. (1995)

International Journal of Mathematics and Mathematical Sciences

Computable error bounds with improved applicability conditions for collocation methods.

Ahmed, A.H. (1998)

International Journal of Mathematics and Mathematical Sciences

Computation and continuation of quasiperiodic solutions

Schilder, Frank (2002)

Equadiff 10

Computation of displacements for nonlinear elastic beam models using monotone iterations.

Korman, Philip (1988)

International Journal of Mathematics and Mathematical Sciences

Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.

Parumasur, N., Singh, P., Singh, V. (2009)

Mathematical Problems in Engineering

Computing $e x p (- τ A) b$ with Laguerre polynomials.

Sheehan, Bernard N., Saad, Yousef, Sidje, Roger B. (2010)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Computing the differential of an unfolded contact diffeomorphism

Klaus Böhmer, Drahoslava Janovská, Vladimír Janovský (2003)

Applications of Mathematics

Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $Φ$ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D Φ (0)$ of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of $D Φ (0)$ . Singularity classes containing bifurcation points with $c o d i m \leq 3$ , $c o r a n k = 1$ are considered.

Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.

J.M. Sanz-Serna, T. Eirola (1992)

Numerische Mathematik

Constrained least squares methods for linear timevarying DAE systems.

Anders Barrlund (1991/1992)

Numerische Mathematik

Construction of explicit and generalized Runge-Kutta formulas of arbitrary order with rational parameters

Anton Huťa, Karl Strehmel (1982)

Aplikace matematiky

In the article containing the algorithm of explicit generalized Runge-Kutta formulas of arbitrary order with rational parameters two problems occuring in the solution of ordinary differential equaitions are investigated, namely the determination of rational coefficients and the derivation of the adaptive Runge-Kutta method. By introducing suitable substitutions into the nonlinear system of condition equations one obtains a system of linear equations, which has rational roots. The introduction of...

Construction of interval wavelet based on restricted variational principle and its application for solving differential equations.

Mei, Shu-Li, Lv, Hong-Liang, Ma, Qin (2008)

Mathematical Problems in Engineering

Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.

E. Hairer (1982)

Numerische Mathematik

Currently displaying 201 – 220 of 882

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Displaying 201 – 220 of 882

Comparing numerical integration schemes for a car-following model with real-world data

Comparing Routines for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations in Multiple Shooting .

Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.

Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.

Comparison of the factorization method and the method of combination of solutions

Computable error bounds for collocation methods.

Computable error bounds with improved applicability conditions for collocation methods.

Computation and continuation of quasiperiodic solutions

Computation of displacements for nonlinear elastic beam models using monotone iterations.

Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.

Computing $e x p (- τ A) b$ with Laguerre polynomials.

Computing the differential of an unfolded contact diffeomorphism

Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.

Constrained least squares methods for linear timevarying DAE systems.

Construction of explicit and generalized Runge-Kutta formulas of arbitrary order with rational parameters

Construction of interval wavelet based on restricted variational principle and its application for solving differential equations.

Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.

Continuous approximation of time-periodic solutions of a linear parabolic equation

Contractivity in the Numerical Solution of Initial Value Problems.

Contractivity of Locally One-Dimensional Splitting Methods.

Currently displaying 201 – 220 of 882