Cover Image

Using Crank-Nikolson Scheme to Solve the Korteweg-de Vries (KdV) Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Wu, Qiming
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Artificial Intelligence
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

High-order Conservative Discontinuous Galerkin Methods via Implicit Penalization for the Generalized Korteweg-de Vries Equation and the Hirota-Satsuma KdV System
by: Tariq, M. Shan, et al.
Published: (2026)

On a Nonuniform Crank-Nicolson Scheme for Solving the Stochastic Kawarada Equation via Arbitrary Grids
by: Padgett, Joshua L, et al.
Published: (2019)

Local Randomized Neural Networks with Discontinuous Galerkin Methods for KdV-type and Burgers Equations
by: Sun, Jingbo, et al.
Published: (2024)

A High Order IMEX Method for Generalized Korteweg de-Vries Equations
by: Gerberding, Seth
Published: (2025)

Numerical integration of coupled Korteweg-de Vries System
by: Halim, A. A., et al.
Published: (2002)

Fully discrete finite difference schemes for the Fractional Korteweg-de Vries equation
by: Dwivedi, Mukul, et al.
Published: (2024)

Analysis of nonquadratic energy-conservative schemes for KdV type-equations
by: Kawai, Shuto, et al.
Published: (2024)

Spectral Galerkin method for the zero dispersion limit of the fractional Korteweg-de Vries equation
by: Dwivedi, Mukul, et al.
Published: (2024)

Optimally convergent HDG method for third-order Korteweg-de Vries type equations
by: Dong, Bo
Published: (2016)

Fully discrete scheme for the fifth-order KdV-Burgers-Fisher equation using Strang splitting and Fourier collocation methods
by: Kaymak, Nurcan Gücüyenen, et al.
Published: (2026)

In search of rogue waves: a novel proposal distribution for parallelized rejection sampling of the truncated KdV Gibbs measure
by: Moore, Nicholas J., et al.
Published: (2024)

Variational quantum algorithm for measurement extraction from the Navier-Stokes, Einstein, Maxwell, B-type, Lin-Tsien, Camassa-Holm, DSW, H-S, KdV-B, non-homogeneous KdV, generalized KdV, KdV, translational KdV, sKdV, B-L and Airy equations
by: Rigas, Pete
Published: (2022)

ODE-DPS: ODE-based Diffusion Posterior Sampling for Inverse Problems in Partial Differential Equation
by: Jiang, Enze, et al.
Published: (2024)

Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation
by: Parand, Kourosh, et al.
Published: (2024)

On the Well-Posedness of Green's Function Reconstruction via the Kirchhoff-Helmholtz Equation for One-Speed Neutron Diffusion
by: Ponciroli, Roberto
Published: (2025)

Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation
by: Zhang, Wen-Xin, et al.
Published: (2026)

STNet: Spectral Transformation Network for Solving Operator Eigenvalue Problem
by: Wang, Hong, et al.
Published: (2025)

Explicit $θ$-Schemes for Solving Anticipated Backward Stochastic Differential Equations
by: Hu, Mingshang, et al.
Published: (2019)

Can Large Language Models Solve Engineering Equations? A Systematic Comparison of Direct Prediction and Solver-Assisted Approaches
by: Kodathala, Sai Varun, et al.
Published: (2026)

Some Discontinuous Galerkin Schemes for Korteweg‐De Vries Equations: Error Estimates and Application
by: Zhilei Wang, et al.
Published: (2025)

Deep Regularized Compound Gaussian Network for Solving Linear Inverse Problems
by: Lyons, Carter, et al.
Published: (2023)

AttNS: Attention-Inspired Numerical Solving For Limited Data Scenarios
by: Huang, Zhongzhan, et al.
Published: (2023)

Solving PDEs With Deep Neural Nets under General Boundary Conditions
by: Zhang, Chenggong
Published: (2025)

Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning
by: Noorizadegan, A., et al.
Published: (2024)

SPIKE: Stable Physics-Informed Kernel Evolution Method for Solving Hyperbolic Conservation Laws
by: Su, Hua, et al.
Published: (2025)

Monte Carlo-Type Neural Operator for Differential Equations
by: Choutri, Salah Eddine, et al.
Published: (2025)

Computing rough solutions of the KdV equation below ${\bf L^2}$
by: Cao, Jiachuan, et al.
Published: (2025)

Structure-Preserving Physics-Informed Neural Network for the Korteweg--de Vries (KdV) Equation
by: Obieke, Victory, et al.
Published: (2025)

DeepContour: A Hybrid Deep Learning Framework for Accelerating Generalized Eigenvalue Problem Solving via Efficient Contour Design
by: Chen, Yeqiu, et al.
Published: (2025)

A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations
by: Giesselmann, Jan, et al.
Published: (2026)

Physics-Informed Inference Time Scaling for Solving High-Dimensional PDE via Defect Correction
by: Fan, Zexi, et al.
Published: (2025)

Convergence of a Conservative Crank–Nicolson Finite Difference Scheme for the KdV Equation
by: Mukul Dwivedi, et al.
Published: (2025)

Solving Partial Differential Equations Using Artificial Neural Networks
by: Uriarte, Carlos
Published: (2024)

Fast convolution algorithm for state space models
by: Beylkin, Gregory
Published: (2024)

A hybrid FEM-PINN method for time-dependent partial differential equations
by: Feng, Xiaodong, et al.
Published: (2024)

A data-driven learned discretization approach in finite volume schemes for hyperbolic conservation laws and varying boundary conditions
by: de Romémont, Guillaume, et al.
Published: (2024)

Neural Multigrid Architectures
by: Fanaskov, Vladimir
Published: (2024)

Intrinsic and Extrinsic Organized Attention: Softmax Invariance and Network Sparsity
by: Fasina, Oluwadamilola, et al.
Published: (2025)

UGM2N: An Unsupervised and Generalizable Mesh Movement Network via M-Uniform Loss
by: Wang, Zhichao, et al.
Published: (2025)

Dominance Based Crossover Operator for Evolutionary Multi-objective Algorithms
by: Roudenko, Olga, et al.
Published: (2005)