Latest Articles for Numerical Methods

Investigating solutions for optimal control problems under specific constraints.

Research highlights the behavior of waves in the fifth-order KdV equation.

A new method to evaluate covariance functions efficiently in Gaussian processes.

Examining how stencil size affects accuracy in RBF-FD for solving PDEs.

A look into the HDG method and its impact on numerical analysis.

A new MPM implementation improves gas flow simulations significantly.

This article examines improving calculation accuracy in complex physical models using numerical methods.

New methods improve accuracy in modeling fluid behavior in magnetic fields.

Study explores conditions for circular rolls in rotor-stator flow dynamics.

New hybrid methods improve radiation transport equation solutions in accuracy and efficiency.

New methods in VEM improve solutions for mathematical problems with irregular boundaries.

A look into techniques improving accuracy in fluid flow simulations.

This article examines two methods for solving the Schrodinger-Poisson equation in physics.

A look into tackling bi-Laplace problems using modern numerical techniques.

A new framework improves efficiency and accuracy in solving complex physical problems.

Advanced methods improve accuracy in fluid flow through porous materials.

A new method uses deep reinforcement learning to improve automatic differentiation efficiency.

A new technique combines numerical methods and machine learning for PDE solutions.

A new numerical approach to solve the fractional KdV equation effectively.

Takum numbers offer a better option for computer arithmetic, balancing small and large number efficiency.

This article examines the exponential Euler scheme for SDEs with unique characteristics.

Introducing a precise method for third derivatives to improve wave equation analysis.

New methods improve efficiency in solving eigenvalue problems across scientific fields.

Exploring new methods for better polynomial function approximations in various fields.

New methods aim to enhance matrix accuracy in 3D modeling.

Improving numerical methods for gradient flows with a modified Lagrange multiplier approach.

A dual-language approach enhances correctness while maintaining speed in programming.

A new approach to reconstruct wave behavior using limited measurements.

A new type system enhances rounding error analysis for numerical calculations.

Exploring Chebyshev polynomials through Tang's algorithm in the complex plane.

This article explores the spectral collocation method and its role in quantum physics.

GPU methods enhance adaptive finite element computations, improving speed and efficiency.

A study on statistical errors in Langevin dynamics using various numerical integrators.

Researchers improve plasma simulations with a new numerical integration method.

Exploring solitary waves, their stability, and the fourth-order nonlinear Schrödinger equation.

SWIFT improves atmospheric transport methods, ensuring essential properties in simulations.

A look into Block Finite Difference methods for solving heat equations.

Examining solutions to time-fractional biharmonic problems in engineering and physics.

A new method enhances accuracy in simulating water wave behavior for offshore engineering.

This study introduces tensor-train networks to enhance flow simulation accuracy and efficiency.