Advances in Computational Mathematics and Applied Mathematics

The reprint contains 16 articles that have been published in the Special Issue “Advances in Computational Mathematics and Applied Mathematics”. They cover a wide range of topics in the closely related fields of computational mathematics and applied mathematics, with keywords including nonlinear Schr...

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Format:	Online
Idioma:	anglès
Publicat:	MDPI - Multidisciplinary Digital Publishing Institute 2025
Matèries:	iterative approach geometric mean matrix sign fractal basins of attraction fourth order of convergence reinforcement learning cumulative constraint constrained Markov decision process (CMDP) impulsive Runge–Kutta methods impulsive θ methods convergence asymptotical stability Kepler’s equation quasi-analytical solution celestial bodies Kepler’s laws time series anomaly detection Jensen–Shannon divergences kernel method generalised entropy nonlinear monotone equations conjugate gradient method convergence analysis image denoising parabolic heat equation finite-difference method (FDM) Crank–Nicolson method inverse coefficient identification problem optimization tool MATLAB free-boundary problem impulsive neutral differential equations Euler method (2+1)-dimensional Klein–Gordon equation Jacobian elliptic function auxiliary equation nonlinear evolution equation complex wave structure impulsive discrete Runge–Kutta method impulsive continuous Runge–Kutta method Lipschitz condition with memory Steffensen-type higher-order methods fractal attraction basins efficiency index lattice Boltzmann method numerical simulation variable coefficient nonlinear Schrödinger equation variable coefficient fractional order nonlinear Schrödinger equation elliptic curve scalar multiplication inverse operation finite field cancer effectors–tumor cells chemotherapy singularity bifurcation periodic hysteresis isola/mushroom pitchfork chi-squared distribution CVaR risk GARCH confidence level Bagley–Torvik Caputo fractional derivative Gegenbauer polynomials pseudospectral thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science
Accés en línia:	ONIX_20250812T110751_9783725845859_552
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Sumari:	The reprint contains 16 articles that have been published in the Special Issue “Advances in Computational Mathematics and Applied Mathematics”. They cover a wide range of topics in the closely related fields of computational mathematics and applied mathematics, with keywords including nonlinear Schrödinger equations, Klein–Gordon equations, impulsive neutral differential equations, Kepler’s equation, parabolic heat equations, nonlinear monotone equations, fractional differential equations, elliptic curves, inverse and ill-posed problems, the impulsive Runge–Kutta method, the Steffensen-type method without memory, reinforcement learning, the constrained Markov decision process, time series, financial mathematics, biomathematics, etc. Most research in the field of computational mathematics focuses on numerical analysis and scientific calculation methods, such as interpolation and approximation, numerical methods of differential equations, numerical integration, matrix computation, and linear equation systems. In applied mathematics, most research focuses on its practical applications in various fields, such as physics, engineering, finance, biology, and medicine. We hope that this reprint will be interesting and useful for those working in the areas of computational mathematics, applied mathematics, and artificial intelligence, in addition to those who have a mathematical background and want to become more familiar with recent advances in computational mathematics and applied mathematics, which have been widely applied in many fields of science and engineering.

Advances in Computational Mathematics and Applied Mathematics

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