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11/25/2021
A Remark on the Invariant Energy Quadratization (IEQ) Method for Preserving the Original Energy Dissipation Laws
In this letter, we revisit the IEQ method and provide a new perspective ...
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08/27/2021
A new class of high-order energy-preserving schemes for the Korteweg-de Vries equation based on the quadratic auxiliary variable (QAV) approach
In this paper, we develop a new class of high-order energy-preserving sc...
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09/15/2020
An explicit and practically invariants-preserving method for conservative systems
An explicit numerical strategy that practically preserves invariants is ...
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06/08/2020
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
We present a new temporal discretization paradigm for developing energy-...
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04/23/2020
Two novel classes of energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
We develop two novel classes of energy-preserving algorithms for the sin...
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01/03/2020
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
A novel class of explicit high-order energy-preserving methods are propo...
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10/16/2019
Arbitrarily High-order Linear Schemes for Gradient Flow Models
We present a paradigm for developing arbitrarily high order, linear, unc...
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09/24/2019
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
A time-fractional Allen-Cahn equation with volume constraint is first pr...
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07/11/2019
Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
We present a systematical approach to developing arbitrarily high order,...
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07/09/2019
Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach
In this paper, we propose a novel family of high-order numerical schemes...
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06/29/2019
A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
In this paper, we present a linearly implicit energy-preserving scheme f...
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06/27/2019
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Adaptive second-order Crank-Nicolson time-stepping methods using the rec...
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06/18/2019