Results 151 to 160 of about 11,022,643 (271)
Global Change Biology Communications, Volume 1, Issue 3, September 2026.Our study demonstrates that particles transported within sea ice are advected over substantially larger distances compared with those transported solely by ocean currents, indicating that sea ice dynamics play a dominant role in enhancing long‐range particle dispersal in the Southern Ocean relative to ocean‐only transport.
Aditya Sharma +5 more
wiley +1 more source
, 1961 This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution.
Powell, Don Ross
core
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
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
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A Fourth Order Runge-Kutta Method
, 1998 Systems of differential equations used in mathematical modeling of complex social phenomena can rarely be solved analytically and, thus, we are often forced to rely on numerical methods to solve them.
Walzer, Steven Kenneth
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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 +1 more
wiley +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 +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