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Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems

SN applied sciences, 2021-07, Vol.3 (7), p.703-28, Article 703

2021

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A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation

Numerical algorithms, 2021-08, Vol.87 (4), p.1729-1748

2021

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Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling

Numerische Mathematik, 2021-10, Vol.149 (2), p.229-272

2021

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Good coupling for the multiscale patch scheme on systems with microscale heterogeneity

Journal of computational physics, 2017-05, Vol.337, p.154-174

2017

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Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity

IMA journal of applied mathematics, 2018-05, Vol.83 (3), p.347-379

2018

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Geometric influence on Ruderman-Kittel-Kasuya-Yosida interactions in zigzag carbon nanotubes

The Journal of chemical physics, 2012-04, Vol.136 (15), p.154504-154504-6

2012

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General model for diffusive growth of nanostructures

IMA journal of applied mathematics, 2015-04, Vol.80 (2), p.235-254

2015

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Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme

International journal of solids and structures, 2024-04, Vol.292, p.112719, Article 112719

2024

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A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions

Journal of engineering mathematics, 2014-06, Vol.86 (1), p.175-207

2014

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Diffusive growth of fullerenes and carbon nanotubes

The Journal of chemical physics, 2009-12, Vol.131 (24), p.244703-244703-5

2009

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Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves

Computer methods in applied mechanics and engineering, 2023-08, Vol.413, p.116133, Article 116133

2023

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Staggered grids for multidimensional multiscale modelling

Computers & fluids, 2024-03, Vol.271, p.106167, Article 106167

2024

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Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations

Applied mathematics and computation, 2017-07, Vol.304, p.164-179

2017

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Concurrent magnetic and metal-insulator transitions in Eu1−xSmxB6 single crystals

Applied physics letters, 2009-01, Vol.94 (4)

2009

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High-order homogenisation by learning spatial discretisations of PDEs that provably preserve self-adjointness

Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, 2022-12, Vol.6, p.100449, Article 100449

2022

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Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field

Physical review. B, Condensed matter, 1999-07, Vol.60 (1), p.344-358

1999

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Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation

SIAM journal on scientific computing, 2022-01, Vol.44 (4), p.A2557-A2581

2022

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Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains

IMA journal of applied mathematics, 2017-10, Vol.82 (5), p.971-1012

2017

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LYAPUNOV EXPONENTS OF THE KURAMOTO–SIVASHINSKY PDE

The ANZIAM journal, 2019-07, Vol.61 (3), p.270-285

2019

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Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations

SIAM journal on scientific computing, 2016-01, Vol.38 (4), p.C335-C371

2016

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Numerical integration of ordinary differential equations with rapidly oscillatory factors

Journal of computational and applied mathematics, 2015-07, Vol.282, p.54-70

2015

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Spin-polarized transport in dilute magnetic semiconductor tunnel junctions

Applied physics letters, 2007-08, Vol.91 (9), p.092111-092111-3

Bunder, J. E.

2007

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Nonlinear σ model for odd-frequency triplet superconductivity in superconductor/ferromagnet structures

Physical review. B, Condensed matter and materials physics, 2004-10, Vol.70 (13), Article 134522

2004

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Electronic properties of carbon nanotubes with distinct bond lengths

Journal of applied physics, 2010-01, Vol.107 (2), p.023511-023511-5

2010

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Modelling the Diffusive Growth of Carbon Fullerenes

Materials science forum, 2012, Vol.700, p.100-103

2012

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Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems

A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation

Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling

Good coupling for the multiscale patch scheme on systems with microscale heterogeneity

Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity

Geometric influence on Ruderman-Kittel-Kasuya-Yosida interactions in zigzag carbon nanotubes

General model for diffusive growth of nanostructures

Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme

A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions

Diffusive growth of fullerenes and carbon nanotubes

Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves

Staggered grids for multidimensional multiscale modelling

Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations

Concurrent magnetic and metal-insulator transitions in Eu1−xSmxB6 single crystals

High-order homogenisation by learning spatial discretisations of PDEs that provably preserve self-adjointness

Effect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field

Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation

Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains

LYAPUNOV EXPONENTS OF THE KURAMOTO–SIVASHINSKY PDE

Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations

Numerical integration of ordinary differential equations with rapidly oscillatory factors

Spin-polarized transport in dilute magnetic semiconductor tunnel junctions

Nonlinear σ model for odd-frequency triplet superconductivity in superconductor/ferromagnet structures

Electronic properties of carbon nanotubes with distinct bond lengths

Modelling the Diffusive Growth of Carbon Fullerenes

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