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Numerical Methods
🔢 Numerical Methods
Numerical Analysis, Approximation, Root Finding, Integration
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138
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An explicit
finite-memory
scheme for
approximating
and sampling invariant measures of stochastic functional
differential
equations with infinite delay
🎮
Reinforcement Learning
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for An explicit finite-memory scheme for approximating and sampling invariant measures of stochastic functional differential equations with infinite delay
Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
An Energy-Stable Implicit
Convex-Splitting
BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations
Uniform-in-time Strong Error Estimates of Tamed-FEM to Superlinear SPDEs driven by Multiplicative Noise
📊
Optimization
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for Uniform-in-time Strong Error Estimates of Tamed-FEM to Superlinear SPDEs driven by Multiplicative Noise
High-order conforming
finite
elements
for the Cahn-Hilliard equation: Relative-energy stability and energy defects
🎯
Optimization Theory
Content type:
Academic
arxiv.org
·
2d
2 days ago
Actions for High-order conforming finite elements for the Cahn-Hilliard equation: Relative-energy stability and energy defects
A novel class of high-order uniformly accurate exponential
integrators
with local linear extension for the charged-particle dynamics under strong magnetic field
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for A novel class of high-order uniformly accurate exponential integrators with local linear extension for the charged-particle dynamics under strong magnetic field
Structure-Preserving Discontinuous Galerkin
Methods
for Stochastic Shallow Water Equations
📊
Optimization
Content type:
Academic
arxiv.org
·
2d
2 days ago
Actions for Structure-Preserving Discontinuous Galerkin Methods for Stochastic Shallow Water Equations
Euler Scheme for Stochastic Functional
Differential
Equations Driven by Fractional Brownian Motion via Fractional Calculus Techniques
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
5d
5 days ago
Actions for Euler Scheme for Stochastic Functional Differential Equations Driven by Fractional Brownian Motion via Fractional Calculus Techniques
Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime
∂
Automatic Differentiation
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime
AutoNumerics-Zero: Automated Discovery of State-of-the-Art Mathematical Functions
∂
Automatic Differentiation
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for AutoNumerics-Zero: Automated Discovery of State-of-the-Art Mathematical Functions
A Second-order Structure-preserving Parametric FEM for Surface Evolution
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for A Second-order Structure-preserving Parametric FEM for Surface Evolution
ND-TNN: Tensor-Neural-Network
Approximation
for High-Dimensional Nonlocal Diffusion Models
🔥
PyTorch
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models
Exponential Time
Differencing
Schemes for a Phase-Field Model of Multicomponent Membranes
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Linear poroelasticity with solid incompressibility: consistent formulation and scalable
numerical
solution
⛰️
Convex Analysis
Content type:
Academic
arxiv.org
·
2d
2 days ago
Actions for Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution
The Coercivity Gap in Neural
PDE
Solvers
: Parameter Escape and Functional
Convergence
∂
Automatic Differentiation
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence
A New Level Set Formulation for Improved Dirichlet Eigenvalue Minimizers
📐
Linear Algebra
Content type:
Academic
arxiv.org
·
1d
1 day ago
Actions for A New Level Set Formulation for Improved Dirichlet Eigenvalue Minimizers
Weighted hp-Uniform Decompositions for H^k-Type Tensor-Product Spaces in Arbitrary Dimension
📐
Linear Algebra
Content type:
Academic
arxiv.org
·
5d
5 days ago
Actions for Weighted hp-Uniform Decompositions for H^k-Type Tensor-Product Spaces in Arbitrary Dimension
A Natural Decomposition
Method
for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces
🌀
Hamiltonian Mechanics
Content type:
Academic
arxiv.org
·
2d
2 days ago
Actions for A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces
Fitting scattered data with optional monotonicity constraints on GPU: LipFit package
🔥
PyTorch
Content type:
Academic
arxiv.org
·
6d
6 days ago
Actions for Fitting scattered data with optional monotonicity constraints on GPU: LipFit package
Adjoint-based Perfusion Estimation from Dynamic Contrast-Enhanced Ultrasound: Advection-Diffusion and Two-Compartment Models
🔥
PyTorch
Content type:
Academic
arxiv.org
·
2d
2 days ago
Actions for Adjoint-based Perfusion Estimation from Dynamic Contrast-Enhanced Ultrasound: Advection-Diffusion and Two-Compartment Models
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