Results 21 to 30 of about 91,586,058 (209)
Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs [PDF]
, 2012 We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and
Xiaohua Ding, Cuicui Liao
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Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]
, 2011 In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
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New Approximate Schemes for Generalized General Set-Valued Mixed Quasi Variational Inequalities [PDF]
, 2008 In this paper, we suggest and consider a class of new three-step approximation schemes for generalized general set-valued mixed quasi variational inequalities.
Shi, Chaofeng
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An ALE ESFEM for solving PDEs on evolving surfaces [PDF]
, 2012 Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662) +3 more
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Variational Bayesian approximation of inverse problems using sparse precision matrices [PDF]
, 2022 Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisation approaches have been developed to ameliorate this problem. Among them is
Kazlauskaite, Ieva +9 more
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Analytical simulation of the nonlinear Caputo fractional equations
Partial Differential Equations in Applied MathematicsPartial differential equations (PDEs), particularly those involving fractional derivatives, have garnered considerable attention due to their ability to model complex systems with memory and hereditary properties.
Ali Ahadi +3 more
doaj +1 more source
Numerical variational methods applied to cylinder buckling [PDF]
, 2008 We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling.
Lord, Gabriel J. +5 more
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 2008 The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
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MathematicsBellows compensators are critical components in pipeline systems, designed to absorb thermal expansions, vibrations, and pressure reflections. Ensuring their operational reliability requires accurate prediction of the stress–strain state (SSS) and ...
Yerzhan Y. Sarybayev +6 more
doaj +1 more source
Zero‐Waste Manufacturing of Ophthalmic Lenses by Direct Fluidic Shaping in Arbitrary Domains
Advanced Materials Technologies, EarlyView.Conventional ophthalmic lens manufacturing discards up to 97% of material through subtractive processes. The Cookie Cutter algorithm extends Fluidic Shaping to arbitrary rim geometries. The framework prescribes a spatially varying boundary height that, under neutral buoyancy and surface tension, shapes curable polymer into spherocylindrical lenses that
Yotam Katzman +6 more
wiley +1 more source