All Stories

  1. Smooth, cusped and sharp shock waves in a one-dimensional model of a microfluidic drop ensemble
  2. Single- and double-kink solutions of a one-dimensional, viscoelastic generalization of Burgers’ equation
  3. A conservative method of lines for advection-reaction-diffusion equations
  4. Kink solutions of the generalized, super-diffusive Burgers equation with memory
  5. Numerical solution of the generalized, dissipative KdV–RLW–Rosenau equation with a compact method
  6. Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions
  7. Analytical and numerical solutions to some one-dimensional relativistic heat equations
  8. On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions
  9. Solitary waves generated by bell-shaped initial conditions in the inviscid and viscous GRLW equations
  10. On Viscous Generalized Chapyglin Gases in Non–flat Universes
  11. FRW Viscous Cosmological Models of Generalized Chapyglin Gases
  12. Effects of convection on a modified GRLW equation
  13. A simplified two-dimensional model of the melt spinning of semi-crystalline hollow compound fibers
  14. Numerical analysis of the effect of small geometrical imperfections on photonic crystal wires
  15. Melt spinning of semi-crystalline compound fibers
  16. On two classes of autonomous third-order nonlinear ordinary differential equations
  17. A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations
  18. Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
  19. Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations
  20. Generalized decomposition methods for singular oscillators
  21. Picard’s iterative method for nonlinear advection–reaction–diffusion equations
  22. Generalized decomposition methods for nonlinear oscillators
  23. Iterative and non-iterative methods for non-linear Volterra integro-differential equations
  24. An artificial parameter–Linstedt–Poincaré method for oscillators with smooth odd nonlinearities
  25. Piecewise-adaptive decomposition methods
  26. An artificial parameter Linstedt–Poincaré method for the periodic solutions of nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
  27. Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method
  28. A non-iterative derivative-free method for nonlinear ordinary differential equations
  29. On the Picard–Lindelof method for nonlinear second-order differential equations
  30. Limit cycles of non-smooth oscillators
  31. On the variational iteration method and other iterative techniques for nonlinear differential equations
  32. On a model of three-dimensional bursting and its parallel implementation
  33. Piecewise homotopy methods for nonlinear ordinary differential equations
  34. Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators
  35. Pattern deformation and annihilation in two-dimensional excitable media in oscillatory domains
  36. Solitary waves of the EW and RLW equations
  37. On Linstedt–Poincaré techniques for the quintic Duffing equation
  38. An artificial parameter-decomposition method for nonlinear oscillators: Applications to oscillators with odd nonlinearities
  39. Piecewise-linearized methods for single degree-of-freedom problems
  40. Numerical methods for nonlinear second-order hyperbolic partial differential equations. I. Time-linearized finite difference methods for 1-D problems
  41. Numerical methods for nonlinear second-order hyperbolic partial differential equations. II – Rothe’s techniques for 1-D problems
  42. Solitary wave interactions of the GRLW equation
  43. Propagation and interaction of moving fronts in polymer crystallization
  44. A finite volume method for one-dimensional reaction–diffusion problems
  45. Asymptotic analysis of channel flows with slip lengths that depend on the pressure
  46. Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations
  47. Piecewise-linearized methods for oscillators with fractional-power nonlinearities
  48. Thermal analysis of bicomponent fibres
  49. Three-dimensional Bursting and Parallel Computing
  50. Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations
  51. Exponential methods for singularly perturbed ordinary differential–difference equations
  52. Piecewise-linearized methods for initial-value problems with oscillating solutions
  53. Explicit finite difference methods for the EW and RLW equations
  54. Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods
  55. Iterative and non-iterative, full and approximate factorization methods for multidimensional reaction–diffusion equations
  56. Linearly-implicit, approximate factorization, exponential methods for multi-dimensional reaction–diffusion equations
  57. Piecewise-linearized methods for oscillators with limit cycles
  58. Chapter 7 Global volcanic simulation: Physical modeling, numerics, and computer implementation
  59. Parallel Simulation of Three–Dimensional Bursting with MPI and OpenMP
  60. Modelling of liquid crystalline compound fibres
  61. Exponential methods for one-dimensional reaction–diffusion equations
  62. Convection and radiation effects in hollow, compound optical fibers
  63. Exponential numerical methods for one-dimensional one-phase Stefan problems
  64. Equivalence of C0 and C1 methods for ODE’s
  65. Exponentially-fitted methods on layer-adapted meshes
  66. Numerical study of the thermal degradation of isotropic and anisotropic polymeric materials
  67. On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems
  68. An exponentially-fitted method for singularly-perturbed ordinary differential equations with turning points and parabolic problems
  69. A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
  70. Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations
  71. A piecewise-analytical method for singularly perturbed parabolic problems
  72. An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems
  73. Linearization techniques for singular initial-value problems of ordinary differential equations
  74. Adaptive domain-decomposition methods for two-dimensional, time-dependent reaction-diffusion equations in nongraded meshes
  75. Non-standard, explicit integration algorithms based on linearization for nonlinear dynamic response analysis
  76. Spiral wave break-up and planar front formation in two-dimensional reactive–diffusive media with straining
  77. Piecewise quasilinearization techniques for singular boundary-value problems
  78. Robustness of spiral waves in two-dimensional reactive–diffusive media
  79. Complex dynamics of planar liquid sheets induced by heat and mass transfer
  80. Parallel scheduling of the PCG method for banded matrices rising from FDM/FEM
  81. Reactive‐diffusive phenomena in two‐dimensional, anisotropic media
  82. Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions
  83. Complex patterns in three-dimensional excitable media with advection
  84. Oscillatory dynamics of inviscid planar liquid sheets
  85. Spiral waves in three-dimensional excitable media with light-sensitive reaction
  86. Linearization methods in classical and quantum mechanics
  87. Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media
  88. S-stability of piecewise-linearized and linearized θ-methods
  89. Pattern formation in two-dimensional reactive-diffusive media with straining
  90. Dynamics of spiral waves in excitable media with local time-periodic modulation
  91. Wave propagation and suppression in excitable media with holes and external forcing
  92. Drawing of annular liquid jets at low Reynolds numbers
  93. Singularities and stability of inviscid, planar liquid membranes
  94. Stability and nonlinear dynamics of planar film casting processes
  95. The sine-Gordon equation in the finite line
  96. Periodically forced Hopf bifurcation in annular liquid jets with mass transfer
  97. Tile patterns in excitable media subject to non-solenoidal flow fields
  98. Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields
  99. Nonlinear dynamics of hollow, compound jets at low Reynolds numbers
  100. Interaction of spatial solitons with a localized spatially-modulated medium
  101. Propagation of spiral waves in anisotropic media: from waves to stripes
  102. Domain decomposition techniques for reaction–diffusion equations in two-dimensional regions with re-entrant corners
  103. Spatio-temporal patterns in excitable media with non-solenoidal flow straining
  104. Asymptotic Analysis and Stability of Inviscid Liquid Sheets
  105. Heat and mass transfer in annular liquid jets: I. Formulation
  106. Heat and mass transfer in annular liquid jets: II. g-jitter
  107. Heat and mass transfer in annular liquid jets: III. Combustion within the volume enclosed by the jet
  108. Two-dimensional simulations of magma ascent in volcanic conduits
  109. Annular liquid jets and other axisymmetric free-surface flows at high Reynolds numbers
  110. Leading-order equivalence of two formulations for long, annular liquid membranes
  111. Irrotational, Annular Liquid Jets
  112. One-dimensional models of steady, inviscid, annular liquid jets
  113. Upward and downward annular liquid jets: Conservation properties, singularities, and numerical errors
  114. Linearized Θ-methods I. Ordinary differential equations
  115. The effects of fluctuating body forces on annular liquid jets
  116. Isothermal mass transfer in annular liquid jets with Sievert's solubility law
  117. On the growth of underpressurized annular liquid jets
  118. A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line
  119. Hopf bifurcation in mass transfer with Sievert's solubility law
  120. The nonlinear Schrödinger equation in the finite line
  121. Application of the two-dimensional Fourier transform to nonlinear wave propagation phenomena
  122. Domain-adaptive finite difference methods for collapsing annular liquid jets
  123. Adaptive block-implicit methods for annular liquid jets
  124. Oscillating annular liquid membranes
  125. Adaptive and nonadaptive Hermitian operator methods for combustion phenomena
  126. Dynamic response of liquid curtains to time-dependent pressure fluctuations
  127. Response of annular liquid jets to mass loading
  128. Annular liquid jets in zero gravity
  129. Analytical, asymptotic and numerical studies of liquid curtains and comparisons with experimental data
  130. Liquid curtains—II. Gas absorption
  131. An analysis of laminar boundary layers on liquid curtains
  132. Liquid curtains—I. Fluid mechanics
  133. Modified equation techniques for reaction-diffusive systems. part 2: time-linearization and operator-splitting methods
  134. Modified equation techniques for reactive-diffusive systems. Part 1: explicit, implicit and quasilinear methods
  135. Bending and torsional resonances in structures subject to ground motion
  136. Fuel-Air Mixing and Combustion in a Two-Dimensional Wankel Engine
  137. Numerical Simulation of the Flow Field and Fuel Sprays in an IC Engine
  138. Comparisons between thermodynamic and one-dimensional combustion models of spark-ignition engines
  139. Modelling of a Gasoline-Injected Two-Stroke Cycle Engine
  140. Stability analysis of a closed thermosyphon model
  141. On the calculation of heat, mass and momentum transport in coaxial jets and mixing layers
  142. Torsional oscillations in structures subject to ground motion
  143. Mathematical modelling of spark-ignition engines
  144. Torsional oscillations in symmetrical structures
  145. On the calculation of heat and momentum transport in a round jet
  146. A review of some numerical methods for reaction-diffusion equations
  147. The calculation of the pressure in unsteady flows using a control-volume approach
  148. Turbulent flow field in homogeneous-charge, spark-ignition engines
  149. Axisymmetric Flow Model in a Piston-Cylinder Arrangement with Detailed Analysis of the Valve Region
  150. Axisymmetric Flow Model with and without Swirl in a Piston-Cylinder Arrangement with Idealized Valve Operation
  151. Numerical Prediction of Axisymmetric Laminar and Turbulent Flows in Motored, Reciprocating Internal Combustion Engines