A local entropic lattice Boltzmann scheme recovers the full-tensor anisotropic advection-diffusion equation via flux-ghost population splitting, tensorial relaxation, and an ADE-corrected entropic stabilizer, with validations on 3D benchmarks up to 10^4 anisotropy ratios.
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A Hermite-like basis minimizes neighbor data access in matrix-free DG SIP operators to one value and one derivative per neighbor on hexahedral elements via Jacobi roots and tensor products.
A unified transmissibility-based interior penalty DG method for heterogeneous and anisotropic diffusion is derived from a hybridized formulation, with proven stability and quasi-optimal error estimates independent of contrast and anisotropy.
A high-order selective DG method with a new hybrid IFE space is introduced for elliptic interface problems on unfitted meshes, with proofs of optimal approximation, well-posedness, and a priori error estimates in energy and L2 norms.
Bio-PINNs with a near-to-far curriculum and deformation-uncertainty proxy recover cell-induced densified phases and tether morphologies more reliably than standard adaptive PINN baselines in single-cell and multicellular settings.
A spatiotemporally decoupled physics-informed Stone-Weierstrass neural operator for stable long-time prediction of time-dependent parametric PDEs.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
citing papers explorer
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Entropic lattice Boltzmann method for general anisotropic advection--diffusion
A local entropic lattice Boltzmann scheme recovers the full-tensor anisotropic advection-diffusion equation via flux-ghost population splitting, tensorial relaxation, and an ADE-corrected entropic stabilizer, with validations on 3D benchmarks up to 10^4 anisotropy ratios.
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A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
A Hermite-like basis minimizes neighbor data access in matrix-free DG SIP operators to one value and one derivative per neighbor on hexahedral elements via Jacobi roots and tensor products.
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A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
A unified transmissibility-based interior penalty DG method for heterogeneous and anisotropic diffusion is derived from a hybridized formulation, with proven stability and quasi-optimal error estimates independent of contrast and anisotropy.
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A Priori Error Analysis of a High-Order Selective Discontinuous Galerkin Method for Elliptic Interface Problems
A high-order selective DG method with a new hybrid IFE space is introduced for elliptic interface problems on unfitted meshes, with proofs of optimal approximation, well-posedness, and a priori error estimates in energy and L2 norms.
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Cell-induced densification and tether formation in fibrous extracellular matrices with biomimetic physics-informed neural networks
Bio-PINNs with a near-to-far curriculum and deformation-uncertainty proxy recover cell-induced densified phases and tether morphologies more reliably than standard adaptive PINN baselines in single-cell and multicellular settings.
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Spatiotemporal decoupled physics-informed Stone-Weierstrass neural operator for long-time prediction of time-dependent parametric PDEs
A spatiotemporally decoupled physics-informed Stone-Weierstrass neural operator for stable long-time prediction of time-dependent parametric PDEs.
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GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.