Search Results - "WEINMÜLLER, EWA"
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Computational Modeling and Simulation to Increase Laser Shooting Accuracy of Autonomous LEO Trackers
Published in Photonics (01-02-2021)“…In this paper, we introduce a computational procedure that enables autonomous LEO laser trackers endowed with INSs to increase the current accuracy when…”
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On singular BVPs with nonsmooth data: convergence of the collocation schemes
Published in BIT (01-12-2017)“…This paper deals with the collocation method applied to solve systems of singular linear ordinary differential equations with variable coefficient matrices and…”
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Numerical Approach for the Computation of Preliminary Post-Newtonian Corrections for Laser Links in Space
Published in International journal of aerospace engineering (01-01-2019)“…Two systems of Earth-centered inertial Newtonian orbital equations for a spherical Earth and three systems of post-Newtonian nonlinear equations, derived from…”
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Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
Published in Open mathematics (Warsaw, Poland) (01-02-2014)Get full text
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Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point
Published in Mathematics of computation (01-04-2013)“…singularity of the first kind and apply polynomial collocation to the . We show that for a certain class of well-posed boundary value problems in DAEs having a…”
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Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation
Published in BIT (Nordisk Tidskrift for Informationsbehandling) (01-03-2009)“…We present a pathfollowing strategy based on pseudo-arclength parametrization for the solution of parameter-dependent boundary value problems for ordinary…”
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7
Automatic grid control in adaptive BVP solvers
Published in Numerical algorithms (2011)“…Grid adaptation in two-point boundary value problems is usually based on mapping a uniform auxiliary grid to the desired nonuniform grid. Here we combine this…”
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On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity
Published in Boundary value problems (26-09-2014)“…In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities…”
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Positive blow-up solutions of nonlinear models from real world dynamics
Published in Boundary value problems (16-05-2014)“…In this paper, we investigate the structure and properties of the set of positive blow-up solutions of the differential equation ( t k v ′ ( t ) ) ′ = t k h (…”
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Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems
Published in SIAM journal on numerical analysis (01-01-2005)“…We discuss an a posteriori error estimate for the numerical solution of boundary value problems for nonlinear systems of ordinary differential equations with a…”
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Local error estimates for moderately smooth problems: Part II—SDEs and SDAEs with small noise
Published in BIT (Nordisk Tidskrift for Informationsbehandling) (01-03-2009)“…The paper consists of two parts. In the first part of the paper, we proposed a procedure to estimate local errors of low order methods applied to solve initial…”
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Foreign Ownership Restrictions: A Numerical Approach
Published in Computational economics (01-05-2009)“…In this paper, we analyze the reason behind the use of foreign ownership restrictions on inward Foreign Direct Investment (FDI). We extend the results…”
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Reconstructing the knee joint mechanism from kinematic data
Published in Mathematical and computer modelling of dynamical systems (01-10-2010)“…The interpretation of joint kinematics data in terms of displacements is a product of the type of movement, the measurement technique and the underlying model…”
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A unified approach to singular problems arising in the membrane theory
Published in Applications of mathematics (Prague) (01-02-2010)“…We consider the singular boundary value problem where f ( t, x ) is a given continuous function defined on the set (0, 1]×(0,∞) which can have a time…”
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Analysis and numerical simulation of positive and dead-core solutions of singular two-point boundary value problems
Published in Computers & mathematics with applications (1987) (01-10-2008)“…We investigate the solvability of the Dirichlet boundary value problem u ″ ( t ) = λ g ( u ( t ) ) , λ ≥ 0 , u ( 0 ) = 1 , u ( 1 ) = 1 , where λ is a…”
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Iterated Defect Correction for the Solution of Singular Initial Value Problems
Published in SIAM journal on numerical analysis (2001)“…We investigate the convergence properties of the iterated defect correction (IDeC) method based on the implicit Euler rule for the solution of singular initial…”
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The convergence of shooting methods for singular boundary value problems
Published in Mathematics of computation (01-01-2003)“…We investigate the convergence properties of single and multiple shooting when applied to singular boundary value problems. Particular attention is paid to the…”
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18
Weighted least squares collocation methods
Published in Applied numerical mathematics (01-09-2024)“…We consider overdetermined collocation methods and propose a weighted least squares approach to derive a numerical solution. The discrete problem requires the…”
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Limit Properties of Solutions of Singular Second-Order Differential Equations
Published in Boundary value problems (01-01-2009)“…We discuss the properties of the differential equation u[variant prime][variant prime] (t)=(a/t)u[variant prime] (t)+f(t,u(t),u[variant prime] (t)) , a.e. on…”
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Numerical treatment of singular ODEs using finite difference and collocation methods
Published in Applied numerical mathematics (01-11-2024)“…Boundary value problems (BVPs) in ordinary differential equations (ODEs) with singularities arise in numerous mathematical models describing real-life…”
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