Cover Image

A Finite Difference Scheme for (2+1)D Cubic-Quintic Nonlinear Schrödinger Equations with Nonlinear Damping

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Le, Anh Ha, Huynh, Toan T., Nguyen, Quan M.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Analysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity
by: Le, Anh-Ha, et al.
Published: (2023)

$C^1$ Quintic Splines on Domains Enclosed by Piecewise Conics and Numerical Solution of Fully Nonlinear Elliptic Equations
by: Davydov, Oleg, et al.
Published: (2016)

Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
by: Huynh, Phuoc-Toan, et al.
Published: (2026)

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schrödinger-Poisson Problem
by: Guo, Meili, et al.
Published: (2024)

A Hyperbolic Approximation of the Nonlinear Schrödinger Equation
by: Biswas, Abhijit, et al.
Published: (2025)

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D
by: Banks, J. W., et al.
Published: (2025)

A Proximal Primal-Dual Approach to Generalized JKO Schemes for Doubly Nonlinear Parabolic Equations
by: Briceño-Arias, Luis M., et al.
Published: (2026)

Stability and Convergence Analysis of an Exact Finite Difference Scheme for Fredholm Integro-Differential Equations
by: Alam, Mehebub, et al.
Published: (2024)

Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
by: Jiang, Run, et al.
Published: (2024)

A General and Robust 3D Finite Element Dynamics Framework for Railway Vehicle-Bridge Interaction with Nonlinear Wheel-Rail Contact Modeling
by: Antolin, Pablo, et al.
Published: (2026)

Finite Difference Approximation with ADI Scheme for Two-dimensional Keller-Segel Equations
by: Lu, Yubin, et al.
Published: (2023)

A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids
by: Li, Ruo, et al.
Published: (2019)

NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
by: Pal, Avik, et al.
Published: (2024)

Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems
by: Peterseim, Daniel, et al.
Published: (2025)

On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation
by: Gupta, Shipra, et al.
Published: (2024)

Unifying Finite Differences and Semi-Lagrangian Schemes via Localized Matrix Exponentials
by: Bayona, Víctor
Published: (2026)

A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation
by: Zlotnik, A., et al.
Published: (2025)

Adaptive Residual-Driven Newton Solver for Nonlinear Systems of Equations
by: Ding, Renjie, et al.
Published: (2025)

Generalized Finite Difference Method for Solving Stochastic Diffusion Equations
by: Mojarrad, Faezeh Nassajian
Published: (2024)

Error analysis for a Finite Element Discretization of a corotational harmonic map heat flow problem
by: Nguyen, Nam Anh, et al.
Published: (2025)

Direct Finite-Time Contraction (Step-Log) Profiling--Driven Optimization of Parallel Schemes for Nonlinear Problems on Multicore Architectures
by: Shams, Mudassir, et al.
Published: (2026)

A Structurally Informed Data Assimilation Approach for Nonlinear Partial Differential Equations
by: Li, Tongtong, et al.
Published: (2023)

Second-Order Compatible-Strain Mixed Finite Elements for 2D Compressible Nonlinear Elasticity
by: Jahanshahi, Mohsen, et al.
Published: (2025)

Numerical Performance of Abs Codes for Nonlinear Systems of Equations
by: Bodon, E., et al.
Published: (2001)

Incremental SVD Compression for Nonlinear Oldroyd Equations with General Memory Kernels
by: Chen, Gang, et al.
Published: (2026)

Temporal Two-Grid Compact Difference Scheme for Benjamin-Bona-Mahony-Burgers Equation
by: Ding, Lisen, et al.
Published: (2026)

High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles
by: Baeza, Antonio, et al.
Published: (2025)

Rootfinding and Optimization Techniques for Solving Nonlinear Systems of Equations Arising from Cohesive Zone Models
by: Cattaneo, Alberto, et al.
Published: (2025)

Symmetry-Preserving Finite-Difference Schemes and Auto-Bäcklund Transformations for the Schwarz Equation
by: Kaptsov, E. I., et al.
Published: (2025)

Neural Multiscale Decomposition for Solving The Nonlinear Klein-Gordon Equation with Time Oscillation
by: Liang, Zhangyong, et al.
Published: (2025)

Continuous Data Assimilation for the Navier-Stokes Equations with Nonlinear Slip Boundary Conditions
by: Wu, W. C., et al.
Published: (2025)

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

A Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation
by: Coale, Joseph M., et al.
Published: (2023)

Efficient High-order Mass-conserving and Energy-balancing Schemes for Schrödinger-Poisson Equations
by: Rajvanshi, Manvendra Pratap, et al.
Published: (2026)

A High-Order Finite Volume GENO Scheme with Implicit Time Integration for Three-Temperature Radiation Diffusion Equations
by: Zhao, Fengxiang, et al.
Published: (2026)

A Hybrid High-Order Finite Element Method for a Nonlocal Nonlinear Problem of Kirchhoff Type
by: Mallik, Gouranga
Published: (2025)

Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations
by: Furuya, Takashi, et al.
Published: (2024)

Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
by: Feng, Qiwei, et al.
Published: (2025)

Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method
by: Huynh, Phuoc Toan, et al.
Published: (2024)

Exponentially Fitted Finite Difference Approximation for Singularly Perturbed Fredholm Integro-Differential Equation
by: Alam, Mehebub, et al.
Published: (2024)