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Page 467 of Mathematical Reviews Vol. , Issue 94a
[page]

1994
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Mathematical Reviews
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In the proof one estimates the uniform bound

*for*the*approximate**solutions*and the H,. compactness*for*the*entropy*dissipation measures associated with all weak*entropy*pairs. ... The proof*of*the existence*of*a*solution**of*the latter is based on reducing it to a system*of**integro*-*differential**equations*and applying the Bubnov-Galerkin process to prove the existence and uniqueness ...##
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Page 1172 of Mathematical Reviews Vol. , Issue 97B
[page]

1997
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Mathematical Reviews
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Summary: “A

*numerical*method is proposed to*approximate*the*solution**of*a nonlinear and nonlocal system*of**integro*-*differential**equations*describing age-dependent population dynamics with spa- tial diffusion ... The existence and uniqueness*of*the*approximate**solutions*are proved and error estimates are obtained using a standard argument (dis- crete energy estimates)*for*the*numerical**solution**of*linear para- ...##
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Page 7314 of Mathematical Reviews Vol. , Issue 2000j
[page]

2000
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Mathematical Reviews
*

Bruno Scheurer (Bruyéres-le-Chatel)
2000j:65093 65M60 45K05
Jiang, Ziwen (PRC-SHDN; Jinan)
L™(L*) and L®°(L°) error estimates

*for*mixed methods*for**integro*-*differential**equations**of*parabolic type. ... ,*for*a mixed finite element method*for*the initial-boundary value problem*for*the*integro*-*differential**equation*u, = div{aVu+ Ps b\Vudt+ ¢ cudt}+ f based on the Raviart-Thomas space V, x Wi, C H(div;Q ...##
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Page 3112 of Mathematical Reviews Vol. , Issue 2000e
[page]

2000
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Mathematical Reviews
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criteria

*for**solutions**of*impulsive*integro*-*differential**equations*in Banach spaces (87- 102); Chunging Lu, On the existence*of*multiple*solutions**of*two-dimensional steady flow in a porous channel (103 ... Mooney, Iterative*solution**of*implicit*approximations**for*parabolic and*hyperbolic*quenching problems (133-144). V. W. ...##
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Page 1644 of Mathematical Reviews Vol. , Issue 83d
[page]

1983
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Mathematical Reviews
*

The authors are concerned with the

*numerical**approximation**of*a class*of*linear neutral functional-*differential**equations*. ... The Trotter-Kato theorem is applied to prove the convergence*of**numerical*schemes involving splines*for*a sequence*of**approximating*higher order ordinary*differential**equations*. ...##
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Page 607 of Mathematical Reviews Vol. , Issue 86b
[page]

1986
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Mathematical Reviews
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Shock formation in smooth

*solutions**of*the scalar*integro*-*differential*conservation law from part I is demonstrated through detailed*numerical*experiments—this completes the basic argument from part I. ...*of**approximate**solutions*to a weak*solution*also holds*for*this class*of**approximations*. ...##
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Page 1247 of Mathematical Reviews Vol. , Issue 2001B
[page]

2001
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Mathematical Reviews
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The authors study finite volume element

*approximations**for*a class*of**integro*-*differential**equations*in two space dimensions. The*numerical*method is a linear finite volume element method. ... A thorough analysis*of*three problems involving differ- ence schemes*for*partial*differential**equations**of**hyperbolic*type is provided. {*For*the entire collection see MR 2000j:65009. } Thomas H. ...##
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Page 455 of Mathematical Reviews Vol. , Issue 96a
[page]

1996
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Mathematical Reviews
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*solutions*

*of*

*hyperbolic*problems. ... He derives local discrete

*entropy*inequalities

*for*the schemes built on Godunov’s

*numerical*flux as a lemma, and proves convergence

*of*u; to the

*entropy*

*solution*u

*of*the conservation laws in Lf, 1 < p ...

##
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Page 3250 of Mathematical Reviews Vol. , Issue 87f
[page]

1987
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Mathematical Reviews
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Summary: “

*Numerically*, moving grids are often found to improve the resolution*of**approximate**solutions*to nonlinear*hyperbolic*conservation laws. ... Phys. 52 (1983), no. 2, 374-389] and generalizes the results*of*the author on the particle*approximation**of**hyperbolic**equations*{the author,*Numerical*methods in fluid dynamics (Como, 1983), 243-324, ...##
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Page 3320 of Mathematical Reviews Vol. , Issue 2001E
[page]

2001
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Mathematical Reviews
*

This second-order accurate scheme is applied to the

*integro*-*differential**equations**of*the BGK*approximation*to Boltzmann’s*equation*. Thomas P. ... Summary: “Here the strategy*of*the group explicit method is ap- plied to the*numerical**solution**of*a linear dispersive*equation*. ...##
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Page 5147 of Mathematical Reviews Vol. , Issue 96i
[page]

1996
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Mathematical Reviews
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Baker, Dynamics

*of*discretized*equations**for*DDE’s (145- 151); Athena Makroglou, Regions*of*stability*for*extended back- ward*differentiation*methods in the*numerical**solution**of*Volterra*integro*-*differential*... Baker and Arsalang Tang,*Numerical**solution**of*Volterra*integro*-*differential**equations*with an unbounded delay (129-136); W. H. ...##
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Page 3350 of Mathematical Reviews Vol. , Issue 92f
[page]

1992
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Mathematical Reviews
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Shen (Minneapolis, MN)
65

*NUMERICAL*ANALYSIS 92f:65066 65310 45305 65F10 65R20 Fodchuk, O. V. A variational-iterative method*for*solving boundary value problems*for**integro*-*differential**equations*. ... Summary: “The defects which are caused by the*solutions**of**approximations*to an original*equation*provide an effective tool*for*asymptotically exact estimation*of**approximation*errors. ...##
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Page 1527 of Mathematical Reviews Vol. , Issue 96c
[page]

1996
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Mathematical Reviews
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Here the author shows a converse

*of*this result, namely, that the*approximation*Umog built from the unique*entropy**solutions**of*the coupled modulation*equations**approximates*periodic weak solu- tions*of*...*Differential**Equations*113 (1994), no. 2, 473-504. In the paper under review, the author considers*approximate**solutions*to spatially one-dimensional systems*of*conservation laws. ...##
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Author index to volume 72 (1996)

1996
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Journal of Computational and Applied Mathematics
*

Simos, A generator

doi:10.1016/s0377-0427(96)90057-6
fatcat:yndvvlqaqbez5assa2nbsmgcoe
*of*high-order embedded P-stable methods*for*the*numerical**solution**of*the Schr6dinger*equation*Babovsky, H., Recognition*of*ring pairs in the data analysis*of*Cherenkov detectors Bainov ... Minchev, Forced oscillation*of**solutions**of*certain*hyperbolic**equations**of*neutral type Baotong, C., see Bainov, D. Brunon, E., see Hureau, J. Caehafeiro, A. and C. ... Nieto, Boundary value problems*for*second order*integro*-*differential**equations**of*Fredholm type Luzyanina, T. and D. ...##
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Page 3746 of Mathematical Reviews Vol. , Issue 2003e
[page]

2003
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Mathematical Reviews
*

Summary: “In this article, the effect

*of**numerical*quadrature on the finite element Galerkin*approximations*to the*solution**of*hy- perbolic*equations*is studied. ... , Graeme (1-CSM-CS; Golden, CO) H'-Galerkin mixed finite element methods*for*parabolic partial*integro*-*differential**equations*. ...
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