Results 11 to 20 of about 3,997,941 (282)

Initial Value Problems and Signature Change [PDF]

, 1995
We make a rigorous study of classical field equations on a 2-dimensional signature changing spacetime using the techniques of operator theory. Boundary conditions at the surface of signature change are determined by forming self-adjoint extensions of the
Alty L J, Bognár J, C J Fewster, Courant R, Dray T, Egusquiza I L, Ellis G, Hayward S A, Hayward S A, Kay B S, Kossowski M, Kossowski M, Kossowski M, L J Alty, Reed M, Reed M, Seba P, Thaller B   +17 more
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Fully discrete hyperbolic initial boundary value problems with nonzero initial data [PDF]

, 2014
The stability theory for hyperbolic initial boundary value problems relies most of the time on the Laplace transform with respect to the time variable. For technical reasons, this usually restricts the validity of stability estimates to the case of zero ...
Coulombel, Jean-François
core   +5 more sources

Coarse Projective kMC Integration: Forward/Reverse Initial and Boundary Value Problems [PDF]

, 2003
In "equation-free" multiscale computation a dynamic model is given at a fine, microscopic level; yet we believe that its coarse-grained, macroscopic dynamics can be described by closed equations involving only coarse variables.
C.W. Gear, Chorin, Chorin, Constantin, Gear, Gear, Gear, Gillespie, Gillespie, Gillespie, Hummer, Hénon, Ioannis G. Kevrekidis, Jansen, Leis, Li, Lust, Makeev, Makeev, Melchior, Melchior, R. Rico-Martı́nez, Runborg, Shroff, Siettos, Siettos, Temam, Theodoropoulos, Vigil   +28 more
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Direct Power Series Approach for Solving Nonlinear Initial Value Problems

Axioms, 2023
In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah, Rania Saadeh, Ahmad Qazza, Raed Hatamleh   +3 more
doaj   +1 more source

Initial boundary value problems for Einstein's field equations and geometric uniqueness [PDF]

, 2009
While there exist now formulations of initial boundary value problems for Einstein's field equations which are well posed and preserve constraints and gauge conditions, the question of geometric uniqueness remains unresolved. For two different approaches
H. Friedrich, H. Friedrich, H. Friedrich, H. Friedrich, H.-O. Kreiss, Helmut Friedrich, J. Corvino, J. Ehlers, M. Alcubierre, M. Holst, R. Bartnik, R. Bartnik, R. Bartnik, S. Benzoni-Gavage, Y. Choquet-Bruhat, Y. Fourès-Bruhat   +15 more
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Hybrid Initial Value Problems of Fractional Order with q-Derivatives

Journal of Mathematics, 2022
In the present article, it has been tried to extend the theory of q-fractional hybrid differential equations that entails Riemann–Liouville q-differential operators.
Roja Mahmoudi Matankolae, Bahram Agheli, Sirous Ghobadi, Rahmat Darzi, Mohammad Adabitabar Firozja   +4 more
doaj   +1 more source

A Numerical Solution of Generalized Caputo Fractional Initial Value Problems

Fractal and Fractional, 2023
In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM method was utilized to establish approximate series solutions. The presented technique is
Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Mohammed Berir   +3 more
doaj   +1 more source

Novel Approximate Solutions for Nonlinear Initial and Boundary Value Problems

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
This paper investigates an effective computational method (ECM) based on the standard polynomials used to solve some nonlinear initial and boundary value problems appeared in engineering and applied sciences.
Othman Mahdi Salih, Majeed A. AL-Jawary, Mustafa Turkyilmazoglu   +2 more
doaj   +1 more source

Initial Value Problems for System of Wave Equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009
We present solutions to the Cauchy problem and the Goursat problem for system of wave equations. Discharged analogue d'Alembert formula for system of wave equations.
S. V. Leksina
doaj   +1 more source

On the complexity of solving initial value problems

, 2012
In this paper we prove that computing the solution of an initial-value problem $\dot{y}=p(y)$ with initial condition $y(t_0)=y_0\in\R^d$ at time $t_0+T$ with precision $e^{-\mu}$ where $p$ is a vector of polynomials can be done in time polynomial in the ...
Bournez, Olivier, Graça, Daniel S., Pouly, Amaury   +2 more
core   +1 more source