Results 31 to 40 of about 25,417,473 (341)
Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractFor the completely stiff real homogeneous systemwhere e is a small positive parameter, a method is given for the construction of a basis for the solution space.If A has n linearly independent eigenvector functions, then there exists a choice of these, {si}, with corresponding eigenvalue functions {λi}, such that there is a local basis for ...
J. J. Mahony, J. J. Shepherd
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An efficient numerical algorithm for the transient analysis of high-frequency non-linear circuits [PDF]
, 2002 The paper proposes a new approach for the discrete-time integration of non-linear differential equations that describe the behaviour of high-frequency circuits, in particular those containing complex equivalent-circuit models of microwave transistor ...
Condon, Marissa +5 more
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Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach
Mathematics, 2021 Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate that
Federico Zadra +2 more
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Error Analysis for a Stiff System Procedure [PDF]
Mathematics of Computation, 1976 The analysis of the local truncation error in a numerical scheme for integrating stiff differential equations, presented in a recent paper by Guderley and Hsu, holds only in special circumstances, but a more general analysis preserves the main conclusions. Several modifications of the scheme are also considered.
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Integración por cuantificación de sistemas stiff
Revista Iberoamericana de Automática e Informática Industrial RIAI, 2007 Resumen: Este artículo presenta un nuevo método de integración numérica de ecuaciones diferenciales ordinarias basado en la cuantificación de las variables de estado.
Gustavo Migoni +2 more
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Adaptive Step Size Control of Extended/Unscented Kalman Filter Using Event Handling Concept
Frontiers in Mechanical Engineering, 2020 This paper presents a novel (Extended/Unscented) Kalman Filter by augmenting the event handling procedure of Ordinary Differential Equation (ODE) solvers with the predictor-corrector scheme of Extended/Unscented discrete Kalman Filter (EKF/UKF ...
Fateme Bakhshande, Dirk Söffker
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A High Precision Direct Integration Scheme Based on Variational Principle and Its Applications
MATEC Web of Conferences, 2016 Dynamics response of systems to impact or loading may be effectively treated by direct integration. However, it is often difficult to select the time-step of integration properly, especially in the case which the system is badly stiff.
Zhu Shuai +3 more
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Parallel Solver for Oscillatory Stiff Systems of ODEs [PDF]
, 2022 The aim of this study will be to design Parallel solver (PS) for oscillatory stiff systems of ordinary differential equations (ODEs). PS will be constructed via a type of specially transformed exponentially fitted multinomial approximant in accordance ...
Abodunrin, Temitope +2 more
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Femtosecond laser programmed artificial musculoskeletal systems
Nature Communications, 2020 Musculoskeletal systems are recognized as a model for designing robust yet flexible microbots but the development of artificial musculoskeletal systems at nanoscale currently remains challenging.
Zhuo-Chen Ma +6 more
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Motion characteristics of vertically loaded anchor during drag embedment in layered clay
Brodogradnja, 2023 As a widely used taut-wire mooring system for deepwater platforms, the Vertically Loaded Anchor (VLA) has better performance in bearing capacity, angle adaptability, and deepwater installation than other systems.
Bin Wang +5 more
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