Cover Image

Numerical Solution Partial Differential Equations using the Discrete Fourier Transform

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Rodriguez-Lara, Daniela, Alvarez-Rios, Ivan, Guzman, Francisco S.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Computational Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Spacetime Wavelet Method for the Solution of Nonlinear Partial Differential Equations
by: Cochran, Cody D., et al.
Published: (2025)

PICL: Physics Informed Contrastive Learning for Partial Differential Equations
by: Lorsung, Cooper, et al.
Published: (2024)

Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations
by: Negi, Pawan, et al.
Published: (2024)

Shock with Confidence: Formal Proofs of Correctness for Hyperbolic Partial Differential Equation Solvers
by: Gorard, Jonathan, et al.
Published: (2025)

BEACONS: Bounded-Error, Algebraically-Composable Neural Solvers for Partial Differential Equations
by: Gorard, Jonathan, et al.
Published: (2026)

Numerical Simulations for Fractional Differential Equations of Higher Order and a Wright-Type Transformation
by: Nacianceno, M., et al.
Published: (2024)

Numerical Homogenization of Landau-Lifshitz Equation with Rough Coefficients
by: Ma, Zetao, et al.
Published: (2025)

Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations
by: Zheng, Haoyang, et al.
Published: (2025)

Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
by: Hou, Wei, et al.
Published: (2024)

Variational Quantum Framework for Partial Differential Equation Constrained Optimization
by: Surana, Amit, et al.
Published: (2024)

Physics-embedded Fourier Neural Network for Partial Differential Equations
by: Xu, Qingsong, et al.
Published: (2024)

Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
by: Rueda-Ramírez, Andrés M., et al.
Published: (2026)

Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media
by: Weed, Jared, et al.
Published: (2026)

A Framework for Solving Parabolic Partial Differential Equations on Discrete Domains
by: Da Silva, Leticia Mattos, et al.
Published: (2023)

Adaptive Mesh Construction for the Numerical Solution of Stochastic Differential Equations with Markovian Switching
by: Kelly, Cónall, et al.
Published: (2024)

Continuation for Nonlinear Elliptic Partial Differential Equations Discretized by the Multiquadric Method
by: Fedoseyev, A. I., et al.
Published: (1998)

Combining Hyperbolic Quadrature Method of Moments and Discrete-Velocity-Direction Models for Solving BGK-type Equations
by: Li, Tianshu, et al.
Published: (2024)

Multilevel Particle Filters for Partially Observed McKean-Vlasov Stochastic Differential Equations
by: Awadelkarim, Elsiddig, et al.
Published: (2024)

HWF-PIKAN: A Multi-Resolution Hybrid Wavelet-Fourier Physics-Informed Kolmogorov-Arnold Network for solving Collisionless Boltzmann Equation
by: Heravifard, Mohammad E., et al.
Published: (2025)

Discrete Solution Operator Learning for Geometry-Dependent PDEs
by: Bai, Jinshuai, et al.
Published: (2026)

Data Generation-based Operator Learning for Solving Partial Differential Equations on Unbounded Domains
by: Wang, Jihong, et al.
Published: (2023)

Well-Posedness and Approximation of Weak Solutions to Time Dependent Maxwell's Equations with $L^2$-Data
by: Antil, Harbir
Published: (2025)

A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations
by: Mourad, Ayman, et al.
Published: (2026)

A Novel Highly Parallelizable Machine-Learning Based Method for the Fast Solution of Integral Equations for Electromagnetic Scattering Problems
by: Koç, Enes, et al.
Published: (2025)

Chebyshev Spectral Neural Networks for Solving Partial Differential Equations
by: Yin, Pengsong, et al.
Published: (2024)

Fast Fourier Transform periodic interpolation method for superposition sums in a periodic unit cell
by: Ai, Fangzhou, et al.
Published: (2023)

Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schrödingerization
by: Hu, Qitong, et al.
Published: (2026)

H-Matrix Accelerated Direct Matrix Solver for Maxwell's Equations using the Chebyshev-based Nyström Boundary Integral Equation Method
by: Hu, Jin, et al.
Published: (2024)

HAMLET: Graph Transformer Neural Operator for Partial Differential Equations
by: Bryutkin, Andrey, et al.
Published: (2024)

Fast Partial Fourier Transforms for Large-Scale Ptychography
by: Parada, Ricardo, et al.
Published: (2024)

Neural Quantum Spectral Operator Learning for Solving Partial Differential Equations
by: Kim, Chanyoung, et al.
Published: (2026)

Physics-Informed Boundary Integral Networks (PIBI-Nets): A Data-Driven Approach for Solving Partial Differential Equations
by: Nagy-Huber, Monika, et al.
Published: (2023)

The Fourier Cosine Method for Discrete Probability Distributions
by: Shen, Xiaoyu, et al.
Published: (2024)

An Efficient Numerical Method for an Approximate Solution of the Beam Equation
by: Baysal, Onur, et al.
Published: (2025)

Deep Finite Volume Method for Partial Differential Equations
by: Cen, Jianhuan, et al.
Published: (2023)

Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers
by: Erturk, E., et al.
Published: (2004)

Accelerated 3D Maxwell Integral Equation Solver using the Interpolated Factored Green Function Method
by: Paul, Jagabandhu, et al.
Published: (2024)

Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations
by: Hao, Wenrui, et al.
Published: (2024)

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations
by: Cai, Difeng, et al.
Published: (2025)

Numerical solution of the time fractional nonlinear Fisher-KPP diffusion-reaction equation using the local domain boundary element method
by: Gortsas, Theodore V.
Published: (2025)