Search Results - "Weinmüller, Ewa B."
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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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2
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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3
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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4
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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5
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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6
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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7
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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8
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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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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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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11
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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On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids
Published in Applied mathematics and computation (15-11-2021)“…•‘Whispering gallery’ mode.•Separation of variables.•Multi-parameter spectral problems.•Prüfer angle.•High accuracy finite differences. In this paper, we…”
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Stability of Singular Boundary Value Problems and their Discretization by Finite Differences
Published in SIAM journal on numerical analysis (01-02-1989)“…Stability bounds for the solution of nonlinear singular boundary value problem for systems of ordinary differential equations of second order are derived. The…”
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14
Line integral solution of Hamiltonian systems with holonomic constraints
Published in Applied numerical mathematics (01-05-2018)“…In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the…”
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15
Numerical simulation of flow in smectic liquid crystals
Published in Applied numerical mathematics (01-10-2018)“…Our aim is to simulate a nonlinear system of ODEs describing the flow in smectic liquid crystals. The nonlinear system is first linearized. We present a direct…”
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16
On nonlinear singular BVPs with nonsmooth data. Part 2: Convergence of collocation methods
Published in Applied numerical mathematics (01-01-2022)“…We discuss numerical solution of boundary value problems for systems of nonlinear ordinary differential equations with a time…”
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Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain
Published in Applied mathematics and computation (15-03-2015)“…In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schrödinger equation posed on a semi-infinite interval. The…”
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18
Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients
Published in Applied mathematics and computation (01-02-2016)“…In this work, we investigate properties of a class of solutions to the second order ODE,(p(t)u′(t))′+q(t)f(u(t))=0on the interval [a, ∞), a ≥ 0, where p and q…”
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On nonlinear singular BVPs with nonsmooth data. Part 1: Analytical results
Published in Applied numerical mathematics (01-08-2018)“…We study boundary value problems for systems of nonlinear ordinary differential equations with a time…”
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20
On singular BVPs with nonsmooth data: Analysis of the linear case with variable coefficient matrix
Published in Applied numerical mathematics (01-04-2017)“…In this paper, analytical properties of systems of singular linear ordinary differential equations with variable coefficient matrices and nonsmooth…”
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