Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems [PDF]
, 1985 The purpose of this paper is to achieve more versatile, convenient stability criteria for a wide class of finite-difference approximations to initial boundary value problems associated with the hyperbolic system u sub t = au sub x + Bu + f in the quarter-
Goldberg, M., Tadmor, E.
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Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems
Mathematics, 2019 A class of generalized ( ψ , α , β ) —weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved.
Piyachat Borisut +3 more
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On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems [PDF]
, 2015 We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter $\epsilon$ whose coefficients depend holomorphically on $(\epsilon,t)$ near the origin in $\mathbb{C}^{2}$ and are bounded holomorphic on some horizontal ...
Lastra, Alberto, Malek, Stephane
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Solving the difference initial-boundary value problems by the operator exponential method [PDF]
, 2000 We suggest a modification of the operator exponential method for the numerical solving the difference linear initial boundary value problems. The scheme is based on the representation of the difference operator for given boundary conditions as the ...
Andronov A +7 more
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Initial Value Problems for Integrable Systems on a Semi-Strip [PDF]
, 2016 Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail.
Sakhnovich, Alexander L.
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Algebraic-delay differential systems, state-dependent delay, and temporal order of reactions [PDF]
, 2008 Initial value problems for differential equations with ...
Walther, Hans-Otto
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij +11 more
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Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
Journal of Mathematics, 2021 In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform.
Mohammed Al-Refai, Muhammed Syam
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Optimal stability polynomials for numerical integration of initial value problems
, 2012 We consider the problem of finding optimally stable polynomial approximations to the exponential for application to one-step integration of initial value ordinary and partial differential equations.
Hairer, Hundsdorfer, Riha
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The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations [PDF]
, 1986 Traveling wave solutions have been studied for a variety of nonlinear parabolic problems. In the initial value approach to such problems the initial data at infinity determines the wave that propagates.
Hagstrom, Thomas, Keller, H. B.
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