Showing 1 - 20 of 6,372

1

Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations
Philipp Öffner ; Louis Petri ; Davide Torlo
Applied Numerical Mathematics. 212:110-134

Method of lines for init... advection-diffusion implicit-explicit method... deferred correction ADER advection-dispersion
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2

Step-by-step time discrete Physics-Informed Neural Networks with application to a sustainability PDE model: Step-by-step time discrete physics-informed neural networks with application to a sustainability PDE model
Valentino C. ; Pagano G. ; Conte D. ; et al.
Mathematics and Computers in Simulation. 230:541-558

Scientific machine learn... deep artificial neural n... scientific machine learn... Stiff problems Nonlinear sustainability... Implicit Euler and Crank...
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3

Numerical study of the fractional fourth-order evolution problems with weak singularity arises in chemical systems
Taneja, Komal ; Chawla, Reetika ; Kumar, Devendra ; et al.
Journal of Mathematical Chemistry. 63:1287-1311

Numerical solution of bo... Fractional derivatives a... graded mesh time-fractional fourth o... stability and convergenc... Numerical methods for in...
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4

An improved fractional predictor-corrector method for nonlinear fractional differential equations with initial singularity
Jianfei Huang ; Junlan Lv ; Sadia Arshad
Fractional Calculus and Applied Analysis. 28:453-472

initial singularity variable transformation predictor-corrector meth... error estimate Numerical methods for in... Stability and convergenc...
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5

Minimal $ \ell^2 $ norm discrete multiplier method: Minimal \(\ell^2\) norm discrete multiplier method
Schulz, Erick ; Wan, Andy T. S.
Journal of Computational Dynamics. 12:212-238

Finite difference and fi... Discretization methods a... Numerical Analysis Dynamical systems in oth... Simulation of dynamical... Numerical Analysis (math...
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6

Stability Theory of TASE–Runge–Kutta Methods with Inexact Jacobian: Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
Conte Dajana ; Martin-Vaquero Jesus ; Pagano Giovanni ; et al.
SIAM Journal on Scientific Computing. 46:A3628-A3657

Runge-Kutta methods TASE operators stiff problems stability with inexact J... unconditional stability field of values
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7

Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity
Singh, Anshima ; Kumar, Sunil
Numerical Algorithms. 99:251-284

ADI scheme error bound high order Numerical Analysis (math... Numerical methods for in... fitted mesh
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8

Stability and numerical solutions for second-order ordinary differential equations with application in mechanical systems
Ali Turab ; Andrés Montoyo ; Josué-Antonio Nescolarde-Selva ; et al.
RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Differential equations Applications of boundary... Generalized ordinary dif... numerical computations applications differential equations
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9

An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations
Manohara G ; Kumbinarasaiah S
Applied Numerical Mathematics. 201:347-369

collocation method Emden-Fowler equations operational matrix of in... Fibonacci wavelet Numerical methods for in...
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10

A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems
Tian, Liutao ; Yang, Shuo ; Tian, Hongjiong
Calcolo. 62

Finite element, Rayleigh... continuous Galerkin meth... initial value problem Numerical methods for in... a posteriori error estim... \textit{hp}-adaptive ref...
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11

Application of Spectral Collocation Method to Dynamic Comprehensive Stability Analysis of Fractional Diffusion-Reaction System: Application of spectral collocation method to dynamic comprehensive stability analysis of fractional diffusion-reaction system
Li, Shuo ; Khan, Sami Ullah ; Ismail, Emad A. A. ; et al.
International Journal of Theoretical Physics. 64

Fractional derivatives a... fractional diffusion-rea... stability and quantitati... spectral method fractional calculus Numerical methods for in...
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12

Investigation of the wavelet method impact on the mathematical model of global warming effects on marine ecosystems
S. Kumbinarasaiah ; R. Yeshwanth
Journal of Applied Mathematics and Computing. 70:4601-4627

Caputo fractional deriva... collocation method Numerical methods for wa... greenhouse gases Haar wavelet Fractional ordinary diff...
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13

Computational and analytical analysis of integral-differential equations for modeling avoidance learning behavior
Ali Turab ; Andrés Montoyo ; Josué-Antonio Nescolarde-Selva ; et al.
RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

0301 basic medicine 0303 health sciences Applications of boundary... Generalized ordinary dif... numerical computations Avoidance behavior
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14

Delay-dependent stability of a class of Runge-Kutta methods for neutral differential equations
Wang, Zheng ; Cong, Yuhao
Numerical Algorithms. 98:1643-1666

Multistep, Runge-Kutta a... delay-dependent stabilit... argument principle TASE-RK Numerical methods for fu... TASE-W
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15

Developing a continuous SIR epidemic model and its discrete version using Euler method: Analyzing dynamics with analytical and numerical methods: Developing a continuous SIR epidemic model and its discrete version using Euler method: analyzing dynamics with analytical and numerical methods
Fatemeh Sahaminejad ; Nemat Nyamoradi ; Zohreh Eskandari
Mathematical Methods in the Applied Sciences. 47:10320-10333

0301 basic medicine analytical methods continuous and discrete-... 0303 health sciences 03 medical and health sc... Epidemiology
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16

A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy: A generalized single-step multi-stage time integration formulation and novel designs with improved stability and accuracy
Yazhou Wang ; Nikolaus A. Adams ; Kumar K. Tamma
International Journal for Numerical Methods in Engineering. 126

Finite difference method... RESEARCH ARTICLE consistency analysis local truncation error multi-stage time integra... order reduction
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17

A high-order multi-resolution wavelet method for nonlinear systems of differential equations
Muhammad Ahsan ; Weidong Lei ; Martin Bohner ; et al.
Mathematics and Computers in Simulation. 215:543-559

collocation method KdV equations (Korteweg-... Finite element, Rayleigh... Numerical methods for wa... H-HWCM Haar wavelet
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18

High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations
Wu, Mengling ; Wang, Zhi ; Ge, Yongbin
Computational Geosciences. 27:687-705

Finite difference method... fourth-order compact sch... high-dimensional nonline... variable coefficient Finite difference method... local one-dimensional
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19

Constructing time integration with controllable errors for constrained mechanical systems
Xiaoming Xu ; Yanghui Chen ; Jiahui Luo ; et al.
Applied Mathematical Modelling. 118:185-211

Numerical methods for di... 0203 mechanical engineer... generalized constraint f... Numerical integration 0103 physical sciences 02 engineering and techn...
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20

Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators: Computing the Lyapunov operator \(\varphi \)-functions, with an application to matrix-valued exponential integrators
Dongping Li ; Yue Zhang ; Xiuying Zhang
Applied Numerical Mathematics. 182:330-343

Numerical computation of... \( \varphi \)-functions G.1.7 G.1.3 modified scaling and squ... Numerical Analysis (math...
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