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@@ -53,7 +53,7 @@ accelerates the development and assessment of new methods in the field.
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DispersiveShallowWater.jl is written in the Julia programming language [@bezanson2017julia] and leverages Julia's strengths in scientific computing, such as high performance, ease of use,
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and rich ecosystem of libraries and tools.
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To date, DispersiveShallowWater.jl has support for classical one-dimensional scalar dispersive wave equations like the Korteweg-de Vries (KdV) equation [@korteweg1895change] and the
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To date, DispersiveShallowWater.jl supports classical one-dimensional scalar dispersive wave equations like the Korteweg-de Vries (KdV) equation [@korteweg1895change] and the
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Benjamin-Bona-Mahony (BBM) equation [@benjamin1972model] as well as more sophisticated one-dimensional systems of equations like the BBM-BBM system [@bona1998boussinesq], the Serre-Green-Naghdi equations
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[@serre1953contribution; @green1976derivation], a hyperbolic approximation thereof [@favrie2017rapid], and the Svärd-Kalisch equations [@svard2025novel].
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@@ -77,7 +77,7 @@ numerical artifacts and inaccuracies in the simulations.
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This leads to the recent trend in numerical analysis to develop structure-preserving discretization methods that maintain the physical properties of the equations.
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For the dispersive wave equations mentioned above, several structure-preserving methods have been proposed and analyzed in the literature, including the use of summation-by-parts (SBP) operators,
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cf. @biswas2024traveling, @ranocha2021broad, @linders2023resolving, @lampert2024structure, and @ranocha2025structure. DispersiveShallowWater.jl provides a unified framework, which provides access
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to the numerical discretizations developed in these works. In @lampert2024structure, DispersiveShallowWater.jl is used for the implementation of the presented methods and also compares the numerical
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to the numerical discretizations developed in these works. In @lampert2024structure, DispersiveShallowWater.jl is used for the implementation of the presented methods. The work also compares the numerical
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solutions to data obtained from experiments showing good agreement.
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Up to the authors' knowledge, no other software package provides the same level of functionality for simulating dispersive shallow water waves as DispersiveShallowWater.jl. Other open source software
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