All Stories

  1. Piecewise-Analytical Approximation Methods for Initial-Value Problems of Nonlinear, Ordinary Differential Equations: Part 2
  2. Piecewise Analytical Approximation Methods for Initial-Value Problems of Nonlinear Ordinary Differential Equations
  3. Finite Difference Methods Based on the Kirchhoff Transformation and Time Linearization for the Numerical Solution of Nonlinear Reaction–Diffusion Equations
  4. Effects of Anisotropy, Convection, and Relaxation on Nonlinear Reaction-Diffusion Systems
  5. Smooth, cusped and sharp shock waves in a one-dimensional model of a microfluidic drop ensemble
  6. Single- and double-kink solutions of a one-dimensional, viscoelastic generalization of Burgers’ equation
  7. Effect of the initial conditions on a one-dimensional model of small-amplitude wave propagation in shallow water
  8. Shock waves of viscoelastic Burgers equations
  9. A conservative method of lines for advection-reaction-diffusion equations
  10. A conservative, piecewise–analytical, transversal method of lines for reaction–diffusion equations
  11. Kink solutions of the generalized, super-diffusive Burgers equation with memory
  12. Numerical solution of the generalized, dissipative KdV–RLW–Rosenau equation with a compact method
  13. A conservative, spatially continuous method of lines for one-dimensional reaction-diffusion equations
  14. Time-linearized, compact methods for the inviscid GRLW equation subject to initial Gaussian conditions
  15. Analytical and numerical solutions to some one-dimensional relativistic heat equations
  16. On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions
  17. Solitary Wave Formation from a Generalized Rosenau Equation
  18. Solitary waves generated by bell-shaped initial conditions in the inviscid and viscous GRLW equations
  19. On Viscous Generalized Chapyglin Gases in Non–flat Universes
  20. FRW Viscous Cosmological Models of Generalized Chapyglin Gases
  21. Effects of convection on a modified GRLW equation
  22. A simplified two-dimensional model of the melt spinning of semi-crystalline hollow compound fibers
  23. Numerical analysis of the effect of small geometrical imperfections on photonic crystal wires
  24. REACTION-DIFFUSION PHENOMENA WITH RELAXATION
  25. SHELL FORMATION IN DRY SPINNING
  26. Melt spinning of semi-crystalline compound fibers
  27. On two classes of autonomous third-order nonlinear ordinary differential equations
  28. A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations
  29. Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
  30. Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations
  31. Generalized decomposition methods for singular oscillators
  32. Picard’s iterative method for nonlinear advection–reaction–diffusion equations
  33. Generalized decomposition methods for nonlinear oscillators
  34. Iterative and non-iterative methods for non-linear Volterra integro-differential equations
  35. An artificial parameter–Linstedt–Poincaré method for oscillators with smooth odd nonlinearities
  36. Piecewise-adaptive decomposition methods
  37. 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
  38. Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method
  39. A non-iterative derivative-free method for nonlinear ordinary differential equations
  40. On the Picard–Lindelof method for nonlinear second-order differential equations
  41. Limit cycles of non-smooth oscillators
  42. On the variational iteration method and other iterative techniques for nonlinear differential equations
  43. On a model of three-dimensional bursting and its parallel implementation
  44. Piecewise homotopy methods for nonlinear ordinary differential equations
  45. Linearized Galerkin and artificial parameter techniques for the determination of periodic solutions of nonlinear oscillators
  46. Pattern deformation and annihilation in two-dimensional excitable media in oscillatory domains
  47. Solitary waves of the EW and RLW equations
  48. On Linstedt–Poincaré techniques for the quintic Duffing equation
  49. An artificial parameter-decomposition method for nonlinear oscillators: Applications to oscillators with odd nonlinearities
  50. Piecewise-linearized methods for single degree-of-freedom problems
  51. Numerical methods for nonlinear second-order hyperbolic partial differential equations. I. Time-linearized finite difference methods for 1-D problems
  52. Numerical methods for nonlinear second-order hyperbolic partial differential equations. II – Rothe’s techniques for 1-D problems
  53. Solitary wave interactions of the GRLW equation
  54. Propagation and interaction of moving fronts in polymer crystallization
  55. A finite volume method for one-dimensional reaction–diffusion problems
  56. Asymptotic analysis of channel flows with slip lengths that depend on the pressure
  57. Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations
  58. Piecewise-linearized methods for oscillators with fractional-power nonlinearities
  59. Thermal analysis of bicomponent fibres
  60. Three-dimensional Bursting and Parallel Computing
  61. Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations
  62. Exponential methods for singularly perturbed ordinary differential–difference equations
  63. Piecewise-linearized methods for initial-value problems with oscillating solutions
  64. Explicit finite difference methods for the EW and RLW equations
  65. Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods
  66. Iterative and non-iterative, full and approximate factorization methods for multidimensional reaction–diffusion equations
  67. Linearly-implicit, approximate factorization, exponential methods for multi-dimensional reaction–diffusion equations
  68. Piecewise-linearized methods for oscillators with limit cycles
  69. Chapter 7 Global volcanic simulation: Physical modeling, numerics, and computer implementation
  70. Parallel Simulation of Three–Dimensional Bursting with MPI and OpenMP
  71. Modelling of liquid crystalline compound fibres
  72. Exponential methods for one-dimensional reaction–diffusion equations
  73. Convection and radiation effects in hollow, compound optical fibers
  74. Exponential numerical methods for one-dimensional one-phase Stefan problems
  75. Equivalence of C0 and C1 methods for ODE’s
  76. Exponentially-fitted methods on layer-adapted meshes
  77. Numerical study of the thermal degradation of isotropic and anisotropic polymeric materials
  78. On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems
  79. An exponentially-fitted method for singularly-perturbed ordinary differential equations with turning points and parabolic problems
  80. A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
  81. Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations
  82. A piecewise-analytical method for singularly perturbed parabolic problems
  83. An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems
  84. Linearization techniques for singular initial-value problems of ordinary differential equations
  85. Adaptive domain-decomposition methods for two-dimensional, time-dependent reaction-diffusion equations in nongraded meshes
  86. Non-standard, explicit integration algorithms based on linearization for nonlinear dynamic response analysis
  87. Spiral wave break-up and planar front formation in two-dimensional reactive–diffusive media with straining
  88. Piecewise quasilinearization techniques for singular boundary-value problems
  89. Robustness of spiral waves in two-dimensional reactive–diffusive media
  90. Complex dynamics of planar liquid sheets induced by heat and mass transfer
  91. Parallel scheduling of the PCG method for banded matrices rising from FDM/FEM
  92. Reactive‐diffusive phenomena in two‐dimensional, anisotropic media
  93. Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions
  94. Complex patterns in three-dimensional excitable media with advection
  95. Oscillatory dynamics of inviscid planar liquid sheets
  96. Spiral waves in three-dimensional excitable media with light-sensitive reaction
  97. Linearization methods in classical and quantum mechanics
  98. Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media
  99. S-stability of piecewise-linearized and linearized θ-methods
  100. Pattern formation in two-dimensional reactive-diffusive media with straining
  101. Dynamics of spiral waves in excitable media with local time-periodic modulation
  102. Wave propagation and suppression in excitable media with holes and external forcing
  103. Drawing of annular liquid jets at low Reynolds numbers
  104. Singularities and stability of inviscid, planar liquid membranes
  105. Stability and nonlinear dynamics of planar film casting processes
  106. The sine-Gordon equation in the finite line
  107. Periodically forced Hopf bifurcation in annular liquid jets with mass transfer
  108. Tile patterns in excitable media subject to non-solenoidal flow fields
  109. Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields
  110. Nonlinear dynamics of hollow, compound jets at low Reynolds numbers
  111. Interaction of spatial solitons with a localized spatially-modulated medium
  112. Propagation of spiral waves in anisotropic media: from waves to stripes
  113. Domain decomposition techniques for reaction–diffusion equations in two-dimensional regions with re-entrant corners
  114. Spatio-temporal patterns in excitable media with non-solenoidal flow straining
  115. Asymptotic Analysis and Stability of Inviscid Liquid Sheets
  116. Heat and mass transfer in annular liquid jets: I. Formulation
  117. Heat and mass transfer in annular liquid jets: II. g-jitter
  118. Heat and mass transfer in annular liquid jets: III. Combustion within the volume enclosed by the jet
  119. Two-dimensional simulations of magma ascent in volcanic conduits
  120. Annular liquid jets and other axisymmetric free-surface flows at high Reynolds numbers
  121. Leading-order equivalence of two formulations for long, annular liquid membranes
  122. Short communication
  123. Asymptotic and numerical analysis of vertical, planar liquid sheets subject to London‐van der Waals forces
  124. AN ADAPTIVE METHOD FOR HEAT TRANSFER IN ANNULAR LIQUID JETS
  125. EXACT-FACTORIZATION, COMPACT METHODS FOR MULTIDIMENSIONAL HEAT TRANSFER: APPLICATION TO COMBUSTION
  126. Irrotational, Annular Liquid Jets
  127. One-dimensional models of steady, inviscid, annular liquid jets
  128. Upward and downward annular liquid jets: Conservation properties, singularities, and numerical errors
  129. Linearized Θ-methods I. Ordinary differential equations
  130. The effects of fluctuating body forces on annular liquid jets
  131. One‐dimensional, time‐dependent, homogeneous, two‐phase flow in volcanic conduits
  132. THE EFFECTS OF THE SOLUBILITY LAW ON MASS TRANSFER IN ANNULAR LIQUID JETS
  133. Isothermal mass transfer in annular liquid jets with Sievert's solubility law
  134. On the growth of underpressurized annular liquid jets
  135. A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line
  136. Hopf bifurcation in mass transfer with Sievert's solubility law
  137. The nonlinear Schrödinger equation in the finite line
  138. Application of the two-dimensional Fourier transform to nonlinear wave propagation phenomena
  139. Adaptive methods of lines for one‐dimensional reaction‐diffusion equations
  140. Domain-adaptive finite difference methods for collapsing annular liquid jets
  141. Adaptive block-implicit methods for annular liquid jets
  142. Oscillating annular liquid membranes
  143. Annular Liquid Jets: Formulation and Steady State Analysis
  144. MASS ABSORPTION BY ANNULAR LIQUID JETS: III. NUMERICAL STUDIES OF JET COLLAPSE
  145. Adaptive and nonadaptive Hermitian operator methods for combustion phenomena
  146. Dynamics of liquid membranes. I: Non‐adaptive finite difference methods
  147. Dynamics of liquid membranes. II: Adaptive finite difference methods
  148. Dynamic response of liquid curtains to time-dependent pressure fluctuations
  149. Response of annular liquid jets to mass loading
  150. Annular liquid jets in zero gravity
  151. Finite difference and finite element methods for mhd channel flows
  152. Finite element methods for one‐dimensional combustion problems
  153. Analytical, asymptotic and numerical studies of liquid curtains and comparisons with experimental data
  154. Liquid curtains—II. Gas absorption
  155. An analysis of laminar boundary layers on liquid curtains
  156. Liquid curtains—I. Fluid mechanics
  157. Multicomponent Gas Bubbles. II. Bubble Dynamics
  158. Hermitian operator methods for reaction‐diffusion equations
  159. Modified equation techniques for reaction-diffusive systems. part 2: time-linearization and operator-splitting methods
  160. Modified equation techniques for reactive-diffusive systems. Part 1: explicit, implicit and quasilinear methods
  161. Bending and torsional resonances in structures subject to ground motion
  162. Fuel-Air Mixing and Combustion in a Two-Dimensional Wankel Engine
  163. Numerical solution of reaction–diffusion equations by compact operators and modified equation methods
  164. Numerical Simulation of the Flow Field and Fuel Sprays in an IC Engine
  165. Comparisons between thermodynamic and one-dimensional combustion models of spark-ignition engines
  166. Modelling of a Gasoline-Injected Two-Stroke Cycle Engine
  167. Stability analysis of a closed thermosyphon model
  168. A heuristic control strategy for non-linear reaction-diffusion equations
  169. Behavior of Multicomponent Gas Bubbles in Glass Melts
  170. GROWTH OF MULTICOMPONENT GAS BUBBLES
  171. Incompressible swirling flows
  172. Numerical solution of reactive-diffusive systems
  173. On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems
  174. On the calculation of heat, mass and momentum transport in coaxial jets and mixing layers
  175. Torsional oscillations in structures subject to ground motion
  176. Mathematical modelling of spark-ignition engines
  177. Swirling flow in a research combustor
  178. A Numerical Study of a Swirl Stabilized Combustor
  179. Development and application of an adaptive finite element method to reaction‐diffusion equations
  180. Numerical solution of reactive-diffusive systems
  181. Numerical solution of reactive-diffusive systems
  182. Probability Density Function Calculations in Turbulent Chemically Reacting Round Jets, Mixing Layers and One-Dimensional Reactors
  183. Torsional oscillations in symmetrical structures
  184. On some accurate finite‐difference methods for laminar flame calculations
  185. Formation and Destruction of Vortices in a Motored Four-Stroke Piston-Cylinder Configuration
  186. Turbulent nonreacting swirling flows
  187. On the calculation of heat and momentum transport in a round jet
  188. Numerical solution of non‐premixed reactive flows in a swirl combustor model
  189. A review of some numerical methods for reaction-diffusion equations
  190. Numerical studies of laminar flame propagation in spherical bombs
  191. Application of the finite-element method to one-dimensional flame propagation problems
  192. The calculation of the pressure in unsteady flows using a control-volume approach
  193. Study of turbulence in a motored four-stroke internal combustion engine
  194. Turbulent flow field in homogeneous-charge, spark-ignition engines
  195. Axisymmetric Flow Model in a Piston-Cylinder Arrangement with Detailed Analysis of the Valve Region
  196. Axisymmetric Flow Model with and without Swirl in a Piston-Cylinder Arrangement with Idealized Valve Operation
  197. Numerical Prediction of Axisymmetric Laminar and Turbulent Flows in Motored, Reciprocating Internal Combustion Engines