Results 81 to 90 of about 2,672 (199)

LLM-Powered, Expert-Refined Causal Loop Diagramming via Pipeline Algebra

Systems
Building a causal-loop diagram (CLD) is central to system-dynamics modeling but demands domain insight, the mastery of CLD notation, and the ability to juggle AI, mathematical, and execution tools.
Kirk Reinholtz, Kamran Eftekhari Shahroudi, Svetlana Lawrence   +2 more
doaj   +1 more source

Solving differential‐algebraic equations in power system dynamic analysis with quantum computing

Energy Conversion and Economics
Power system dynamics are generally modeled by high dimensional non‐linear differential‐algebraic equations (DAEs) given a large number of components forming the network.
Huynh T. T. Tran, Hieu T. Nguyen, Long T. Vu, Samuel T. Ojetola   +3 more
doaj   +1 more source

Exploration of soliton structures in (3+1)-dimensional generalized evolution nonlinear equation using an efficient integration scheme

Beni-Suef University Journal of Basic and Applied Sciences
Background Nonlinear wave equations in higher dimensions play a crucial role in describing complex behaviors in dispersive media such as optics, plasma, and fluid dynamics.
Ibrahim Saber, Hamdy Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +1 more source

Computer algebra and symbolic computational mechanics

, 1989
Although, undoubtedly, numerical computations are the computations of primary importance in computational mechanics, nevertheless, symbolic computations also constitute a significant related tool. Here at first an extensive review of the major computer algebra systems is made, i.e.
openaire   +1 more source

Symbolic computation and signal processing

, 2008
Many problems in digital signal processing can be converted to algebraic problems over polynomial and Laurent polynomial rings, and can be solved using the existing methods of algebraic and symbolic computation.
Hyungju Park
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Symbolic algebraic and validated numerical computation

, 2022

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Competitive Equilibria in Semi-Algebraic Economies [PDF]

This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Karl Schmedders, Felix Kuber
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D-algebraic functions

Differentially-algebraic (D-algebraic) functions are solutions of polynomial equations in the function, its derivatives, and the independent variables. We revisit closure properties of these functions by providing constructive proofs.
Sattelberger, Anna-Laura,, Ait El Manssour, Rida,, Teguia Tabuguia, Bertrand,   +2 more
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Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Symbolic Listings as Computation

We propose an algebraic model of computation which formally relates symbolic listings, complexity of Boolean functions, and low depth arithmetic circuit complexity.
Gnang, Edinah, Sawczuk, Hamilton
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