Exponentially fitted methods with a local energy conservation law (Q6168053)

scientific article; zbMATH DE number 7723890

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English	Exponentially fitted methods with a local energy conservation law	scientific article; zbMATH DE number 7723890

Statements

instance of

scholarly article

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title

Exponentially fitted methods with a local energy conservation law (English)

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author

Dajana Conte

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Gianluca Frasca-Caccia

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published in

Advances in Computational Mathematics

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publication date

8 August 2023

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full work available at URL

https://arxiv.org/abs/2202.00283

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zbMATH Keywords

exponential fitting

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structure preservation

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conservation laws

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nonlinear Schrödinger equation

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MaRDI profile type

MaRDI publication profile

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cites work

Exact first-order solutions of the nonlinear Schrödinger equation

0 references

On symplectic and multisymplectic schemes for the KdV equation

0 references

Complex Hamiltonian evolution equations and field theory

0 references

Q3467363

0 references

Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

0 references

Numerical methods for Hamiltonian PDEs

0 references

Line Integral Methods for Conservative Problems

0 references

Efficient implementation of Gauss collocation and Hamiltonian boundary value methods

0 references

Spectrally accurate space-time solution of Hamiltonian PDEs

0 references

Numerical solution of time fractional diffusion systems

0 references

Exponential fitting direct quadrature methods for Volterra integral equations

0 references

Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution

0 references

Exponentially fitted IMEX methods for advection-diffusion problems

0 references

Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method

0 references

Modified Gauss-Laguerre exponential fitting based formulae

0 references

Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval

0 references

Adapted explicit two-step peer methods

0 references

Exponentially fitted two-step peer methods for oscillatory problems

0 references

Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model

0 references

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

0 references

Parameter estimation in exponentially fitted hybrid methods for second order differential problems

0 references

Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation

0 references

On a new type of mixed interpolation

0 references

Positive symplectic integrators for predator-prey dynamics

0 references

The numerical integration of relative equilibrium solutions. Geometric theory

0 references

The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation

0 references

A high order, progressive method for the evaluation of irregular oscillatory integrals

0 references

Locally conservative finite difference schemes for the modified KdV equation

0 references

Simple bespoke preservation of two conservation laws

0 references

Numerical preservation of multiple local conservation laws

0 references

A new technique for preserving conservation laws

0 references

Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property

0 references

Discrete Variational Derivative Method

0 references

Time integration and discrete Hamiltonian systems

0 references

Geometric Numerical Integration

0 references

Exponentially fitted methods applied to fourth-order boundary value problems

0 references

Q4679151

0 references

Simulating Hamiltonian Dynamics

0 references

Moving frames and Noether’s finite difference conservation laws I

0 references

New conservative schemes with discrete variational derivatives for nonlinear wave equations

0 references

Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

0 references

Discrete gradient methods have an energy conservation law

0 references

Functional equivariance and conservation laws in numerical integration

0 references

Geometric integration using discrete gradients

0 references

Q4309510

0 references

An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems

0 references

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday

0 references

A new class of energy-preserving numerical integration methods

0 references

Symmetry preserving numerical schemes for partial differential equations and their numerical tests

0 references

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

0 references

Geometric numerical integration by means of exponentially-fitted methods

0 references

Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods

0 references

The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations

0 references

Identifiers

zbMATH Open document ID

1522.65161

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arXiv ID

2202.00283

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Mathematics Subject Classification ID

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10.1007/S10444-023-10049-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:6168053