Results 151 to 160 of about 11,954,701 (266)

A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley   +1 more source

Zero-dissipative explicit Runge-Kutta method for periodic initial value problems [PDF]

, 2014
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed.
Senu, Norazak, Bachok @ Lati, Norfifah, Ismail, Fudziah, Kasim, I. A.   +3 more
core  

Runge-Kutta methods

Scholarpedia, 2007
openaire   +2 more sources

Optimal Control Analysis of Vertically Transmitted Infectious Diseases With Saturated Incidence and Nonlinear Treatment

Optimal Control Applications and Methods, Volume 47, Issue 5, Page 1083-1100, September/October 2026.
Schematic representation of the proposed disease transmission model incorporating vertical transmission, saturated incidence, and nonlinear treatment. The study combines theoretical analysis, bifurcation and stability investigations, and optimal control techniques to evaluate prevention and treatment interventions.
Oludolapo A. Olanrewaju, Sulaimon F. Abimbade   +1 more
wiley   +1 more source

Solving reaction-diffusion problems with explicit Runge–Kutta exponential methods without order reduction

In this paper a technique is given to recover the classical order of the method when explicit exponential Runge–Kutta methods integrate reaction-diffusion problems.
Moreta Santos, María Jesús, Begoña Cano, María Jesús Moreta, Cano, Begoña   +3 more
core   +1 more source

Vertical Vibration Reduction of Maglev Vehicles Using Nonlinear Model Predictive Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT This work presents a novel nonlinear model predictive control (NMPC) strategy for high‐speed Maglev vehicles that explicitly incorporates mechanical suspension dynamics into the control model. Unlike conventional approaches, which often neglect the interaction between levitation magnet and car body motion, the proposed method enables ...
Mario Hermle, Arnim Kargl, Peter Eberhard   +2 more
wiley   +1 more source

Learning Differential Equations From Numerically Integrated Artificial Neural Networks

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT For numerical investigation of dynamical systems, the formulation of the corresponding ordinary differential equations (ODE) based on physical principles is usually the first and most crucial step. However, if the underlying physics is not fully understood or the required expert knowledge for modeling is missing, setting up these differential ...
Timo Bielitz, Dieter Bestle
wiley   +1 more source

Adjoint and Unrolled Automatic Differentiation for Laplace‐Approximated Likelihoods in Population PK and PK/PD Models

CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 9, September 2026.
ABSTRACT Maximum likelihood estimation in population pharmacokinetic/pharmacodynamic (PK/PD) nonlinear mixed‐effects (NLME) models targets fixed‐effect, interindividual‐variability, and residual‐variability parameters through a marginal likelihood that integrates each subject's contribution over individual random effects.
Guido H. Jajamovich, William Holmes, Chih‐Wei Lin, Khamir Mehta   +3 more
wiley   +1 more source

A Variational Method for Reconstructing and Separating Balanced Motions and Internal Tides From Wide‐Swath Altimetric Sea Surface Height Observations

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.
Abstract The surface water and ocean topography (SWOT) satellite mission marks a major advance in observing ocean surface dynamics, providing sea surface height (SSH) measurements at unprecedented spatial resolution. Reconstructing gridded SSH fields from SWOT data requires new algorithms capable of retrieving measured fine‐scale variability, which is ...
V. Bellemin‐Laponnaz, F. Le Guillou, C. Ubelmann, E. Blayo, E. Cosme   +4 more
wiley   +1 more source

The Ensemble Kalman Inversion Race

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 9, September 2026.
Abstract Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration.
Rebecca Gjini, Matthias Morzfeld, Oliver R. A. Dunbar, Tapio Schneider   +3 more
wiley   +1 more source