[PDF] Top 20 Structure Preserving Integrators and Hamel's Equations.
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Structure Preserving Integrators and Hamel's Equations.
... As we have already seen, discrete Lagrangian mechanics is obtained by discretizing Hamil- ton’s principle. This approach leads to symplectic- and, for systems with symmetry, momentum- preserving ... See full document
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A structure-preserving matrix method for the deconvolution of two Bernstein basis polynomials
... linear equations in which the coefficient matrix is Tœplitz, but the solution is a polynomial approximation of a rational ...Tœpliz structure of the coefficient matrix is preserved, that is, a ... See full document
22
Short structure preserving signatures
... Ghadafi’s structure-preserving signature scheme [25] with Groth-Sahai proofs [30] to construct an effi- cient weakly blind signature ...PPE equations (7 pairings or 6 pairings and 1 elliptic curve ... See full document
21
Structure-Preserving Discretization of Incompressible Fluids
... variational integrators for dynamical systems (for other ideas in the same direction, see, ...Euler equations, as the problem of global existence of weak solutions to the Euler equations remains ... See full document
74
A review of some geometric integrators
... geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in ...symplectic structure is highlighted. The associated natural geometric ... See full document
67
Construction of positivity preserving numerical method for stochastic SIVS epidemic model
... For model (1.1), by [7] and [8] existence and persistence were discussed, respectively. In [9], Yang et al. provided the global threshold dynamics of an SIVS model with wan- ing vaccine-induced immunity and nonlinear ... See full document
19
Automated algebraic analysis of structure-preserving signature schemes
... The tests were performed on a standard laptop with an Intel Core i5 M540 CPU and 4GB RAM. We picked Z3 as solver to be used by the tool and used the mode for solving the equations in Z . We start by considering ... See full document
9
Structure-Preserving Signatures from Type II Pairings
... investigate structure-preserving signatures in asymmetric bilinear groups with an efficiently com- putable homomorphism from one source group to the other, ...respectively), ... See full document
16
Efficient Fully Structure-Preserving Signatures for Large Messages
... Most structure- preserving schemes offering to sign many elements do so by increasing the size of the verification key linearly in the message to be ...product equations in the verification of a ... See full document
22
Structure-Preserving Signatures from Standard Assumptions, Revisited
... of structure-preserving signatures was initiated by Abe et ...of structure-preserving signatures, yielding both efficient schemes under standard assumptions [4, 2, 30, 3] as well as “optimal” ... See full document
26
Hamilton Pontryagin integrators on Lie groups
... thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie Group are derived from a Hamilton-Pontryagin (HP) variational ... See full document
124
ENERGY PRESERVING INTEGRATION OF BI-HAM
... The numerical results confirm the excellent long-term preservation of the energy (Hamil- tonian) and the integrals of the underlying equations. The numerically obtained soliton solutions show a very similar ... See full document
12
Structure preserving stochastic Runge–Kutta–Nyström methods for nonlinear second order stochastic differential equations with multiplicative noise
... Second-order stochastic Hamiltonian systems driven by Gaussian noises are significant in scientific applications [17], which can describe the classical Hamiltonian systems per- turbed by random forces. In [18], the authors ... See full document
18
Some robust integrators for large time dynamics
... time integrators which are suitable for large time ...only equations having a geometric structure but also more general ...symplectic integrators for Hamiltonian systems. We show in ... See full document
29
High-throughput of measure-preserving integrators for constant temperature molecular dynamics simulations on GPUs
... non-Hamiltonian equations of motion, such as NHC equations, the numerical integrator should be consistent with a non-Hamiltonian generalization of Liouville’s theorem [22, ...“measure- preserving” ... See full document
12
Modified differential equations
... equation that is Hamiltonian. This permits to transfer known properties of perturbed Hamiltonian systems (e.g., conservation of energy, KAM theory for integrable systems) to properties of symplectic numerical ... See full document
5
On the nonlinear stability of symplectic integrators
... The modified Hamiltonian is used to study the nonlinear stability of symplectic integrators, espe- cially for nonlinear oscillators. We give conditions under which an initial condition on a compact energy surface ... See full document
15
Sites in the imagination: The Beaumont Hamel Newfoundland Memorial on the Somme
... How best then to create a landscape of allusion, of indirect or passing reference, rather than one that is recreated artificially ? It would have been futile to attempt to preserve the Somme battlefield in its ... See full document
40
Type 2 Structure-Preserving Signature Schemes Revisited
... We presented natural Type 3 analogues of the Type 2 strongly unforgeable and random- izable structure-preserving signature schemes that were proposed in [4]. By properly ac- counting for subgroup membership ... See full document
24
Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow
... Keywords : Nonlinear problem; Exat analyti solution; Numerial solution Jerey-Hamel ow.. ||||||||||||||||||||||||||||||||{.[r] ... See full document
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